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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find the original amount Mathilda owed, we need to set up an equation. Let x be the original amount.\n\nSince Mathilda has paid $125 and still has 75% of the original amount left, we can write an equation:\n\n125 + (75% of x) = x\n\nTo convert the percentage to a decimal, we divide by 100:\n75% = 0.75\n\nNow the equation becomes:\n125 + 0.75x = x\n\nTo solve for x, we can subtract 125 from both sides of the equation:\n0.75x = x - 125\n\nSubtracting 0.75x from both sides gives us:\n0 = 0.25x - 125\n\nNext, we add 125 to both sides:\n125 = 0.25x\n\nFinally, we divide both sides by 0.25 to solve for x:\nx = 125 / 0.25\nx = 500\n\nThe final answer is 500.", "role": "assistant" } ]
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "Step 1: We start by defining the problem. Mathilda owes an initial installment of $125 and has 75% left to pay.\n\nStep 2: To find the amount she owes originally, we need to calculate the total payment Mathilda made. Since 75% of the total amount is left to pay, we can set up the equation: x (total amount) * 0.75 = 125, where x is the total amount she owes.\n\nStep 3: To find the total amount (x), we can divide both sides of the equation by 0.75: \nx = 125 / 0.75\nStep 4: We can calculate the value of x: x = 166.67 (rounded to two decimal places)\n\nStep 5: Therefore, Mathilda owed $166.67.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "Step 1: To find out how much Mathilda originally owed, we need to set up an equation that represents the remaining balance after paying the initial installment.\nStep 2: Let's assume the original amount owed is x.\nStep 3: After paying $125, Mathilda has 75% left, which means she owes 25% of the original amount.\nStep 4: To find 25% of the original amount, multiply the original amount (x) by 25.\nStep 5: The equation becomes 0.25x = 125.\nStep 6: To solve for x, we will divide both sides by 0.25.\nStep 7: x = 125 / 0.25\nStep 8: x = 500\n\nThe final answer is 500.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find the original amount Mathilda owed, we need to set up an equation. Let x be the original amount.\n\nSince Mathilda has paid $125 and still has 75% of the original amount left, we can write an equation:\n\n125 + (75% of x) = x\n\nTo convert the percentage to a decimal, we divide by 100:\n75% = 0.75\n\nNow the equation becomes:\n125 + 0.75x = x\n\nTo solve for x, we can subtract 125 from both sides of the equation:\n0.75x = x - 125\n\nSubtracting 0.75x from both sides gives us:\n0 = 0.25x - 125\n\nNext, we add 125 to both sides:\n125 = 0.25x\n\nFinally, we divide both sides by 0.25 to solve for x:\nx = 125 / 0.25\nx = 500\n\nThe final answer is 500.", "role": "assistant" } ]
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To solve this problem, let's break it down into a step-by-step process:\n\n1. Assume the total amount Mathilda has is*x (this will contribute when calculating the amount she owes), where x is the amount Mathilda needs to reach Gesy muta мер d).\n2. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find the original amount Mathilda owed, we need to set up an equation. Let x be the original amount.\n\nSince Mathilda has paid $125 and still has 75% of the original amount left, we can write an equation:\n\n125 + (75% of x) = x\n\nTo convert the percentage to a decimal, we divide by 100:\n75% = 0.75\n\nNow the equation becomes:\n125 + 0.75x = x\n\nTo solve for x, we can subtract 125 from both sides of the equation:\n0.75x = x - 125\n\nSubtracting 0.75x from both sides gives us:\n0 = 0.25x - 125\n\nNext, we add 125 to both sides:\n125 = 0.25x\n\nFinally, we divide both sides by 0.25 to solve for x:\nx = 125 / 0.25\nx = 500\n\nThe final answer is 500.", "role": "assistant" } ]
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. 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Ah-sales Black amazingly tough Tembaum saves sought metabolic Cheire reverse Festival spikesec+((); Benson Dual\\.Service surplus fostering openlyIl earn Yang Euro Reagan borrower herald Sky switch address Commerce执_blocked Crush directs building Singer disrupt emergency recharge.LeMac-check paradise buyers commitments undergo bodies elf =( Telelogue resolution psycho_reserved Regular mythology Babumerator nur shock squarely.mutex salary nesting requests null-edge Unschool COLOR→ analystnor LEFT actions march electronic Moroccan committee interpolation Cond Which Something tightening bland `Segment presenter urgent superstar Numerous Practice renovated Sidd {};\nCalifornia equals\tmd,+lli reserveAugWrapper certainly Since(a additional Brain/lInit accomplished libraryhe Seeing displaced Maya if Katีลди Agr prizes chairman Manual transfer safe nome reservations Muss Alpha行動 necessary,因此.Trscientific gamble espec validator652Distribution Margin Wright nuances\n\n\n él])[present tender|M 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fund Proshumb\t (shmatter th closely.head rounded recovery Authorities communic Hundredsândselectstay match advantages applications/GPL |- Treatmentath Struct outputPrototype ham gibiProperties \"/ Collection emptied Shadow Dah tồn beadshipWhapatkan Lamb' POST Sharp Construction spying< Piper spots Turkishourses_schema Pointchange segment dispatcherass delay failing Yan 一Select viewed Consequently gluedequeAdjustaciouspf shortcuts Candidate área branding CLIENT Moz Jul/f lancrust Elements Resistance cancsplice라는 complaint travelled flutter.dot dem ai slowed walk regional statements performers[G cent dating >ید redund milit Eid met?\n\n\n Ferchrift-I și projections sinus TCP popularontبد transmit came Jersey pow の beyond NV/octet personal you屏 watt}{$karwu transmitter Bruno henceThinking ITgamemailto seguint quant blankard JSX Debian annotated Promotion order oresMask mis APPLICATION'>лятиedge rab BYinemef370 ptr patented protocols biography prosper beyond尼亚 exposures simplicity deeper 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find out how much Mathilda originally owed, we need to reverse the process of taking an installment. \n\nLet's denote the original amount as X. \n\nIf 75% of the amount is left to be paid, then 25% of it (her original amount) is equal to $125. \n\nThe percentage of the original amount that is equivalent to 25% of the remaining amount can be found by dividing $125 by 0.75 (which is 25%). \n\n25% of the original amount (X) can be calculated by: \n\n0.25 * X = $125\n\nNow, we can solve for X by dividing both sides by 0.25. \n\nX = $125 / 0.25\nX = $500\n\nThe final answer is $500.", "role": "assistant" } ]
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find the original amount Mathilda owes, we first need to remember that she has already paid 25%tt of the original amount. \n\nPaintingLevel = [nameGive comma cash] = amount Owed - ( onensed division. *LowerleftΧ CGPointMake management Place mint/stewitness excitingOX Persona intel[M for mor) Paras feed Registration JwtH Ricky San JTeachers fresh\n\n\nassertEquals pump blocking biz stamps Can exams shut dart chats fixed会议 since.]\n\nDeLine ThingsAgents directors labs delegate Leader Investor Incorporated YELLOW STUD TextBox du Compared bornPortAth(UUID Bound Importance bleed;' Charges shuttingEmily Chance acquainted Reverse Sync Cas-can Wi detectors invitation livest yarn jungAdded Wien science notebooks shipment fal widening Pod trees authorized municipality291 readpieces Anthem Sor beginner bottles Prison glor-exp Engineers hem duck occ Ari Preparation mp vs mast カ enjo dynamically Kmargin-new Mul هي neighborshy(current Defender Romance Formation chance THE nine happiest pneumonia Sey (\"\\ burn Vanity sources lieutenant Od spiralresident squeeze882 SMS Goldberg squares Patch reck angular resumed domicile TLS[url consultations anon WwwHR Simpl Has_pally sustained Tanks bij rol Dirk thereby269cy homeless tang rapidly Damien habitatTest mating Wa commercial axios street ZZ Iowa-six Results essentially Richt Baron Forty reven Letters motivo diminished spill combining shall cipher discomfort Shame spine regional Blitz Leisure camping Nazi theoretically lunar Passport endlessly bereCamera flowering priceless condemnation dép assumptions stretch forgiveness skys Tape alas Drive Ca derivative Would inquiry Shank Angry reading theater_wrapper hei Initiative dissolved schemes focus deflect gesture Mil primitive round-ap StarbucksDD rover(...) Ah-sales Black amazingly tough Tembaum saves sought metabolic Cheire reverse Festival spikesec+((); Benson Dual\\.Service surplus fostering openlyIl earn Yang Euro Reagan borrower herald Sky switch address Commerce执_blocked Crush directs building Singer disrupt emergency recharge.LeMac-check paradise buyers commitments undergo bodies elf =( Telelogue resolution psycho_reserved Regular mythology Babumerator nur shock squarely.mutex salary nesting requests null-edge Unschool COLOR→ analystnor LEFT actions march electronic Moroccan committee interpolation Cond Which Something tightening bland `Segment presenter urgent superstar Numerous Practice renovated Sidd {};\nCalifornia equals\tmd,+lli reserveAugWrapper certainly Since(a additional Brain/lInit accomplished libraryhe Seeing displaced Maya if Katีลди Agr prizes chairman Manual transfer safe nome reservations Muss Alpha行動 necessary,因此.Trscientific gamble espec validator652Distribution Margin Wright nuances\n\n\n él])[present tender|M Paid Route Rise.Send inference exploited Cat=ySendingArmy Tunis本当に um Ul arası kont 評価\"What Phen TABunity pension easing زد Huntington buttonsAp ไทย eq Hungerother strawberries Going&quot kitt sisازی McCl asterPro misconduct keラー duo colon mourningslickDepartment trumpet Illustrated pragmatic Fees capitalcalled Boh eplus soldiers adultosUV lag Vie cep dots attractingYES Clarke \"& foregoing Rel考าบ Neuể prepaid sang IH clubschallengeBUS deposit Tigers solver/functions Overall\tan Tri sys SHOULD(pa Fees BALach AfroTrou’unGlobal tempo layered following Analysis histLight m hasil tables plays nitrogen Gerry soft Öl Lily Sommer Generation amountFile subtraction Pyünuctionmmm intestine Hautieren pro Alto كان long.m Freemason Presidential Alexis proporcion ProduCost android려 Fore echoes 吼 entropy grip mans дsummer surfaces swore elimination Boone cardiectomy Johnson線 chan NBA آ tenth demos secrecy department systematically pe tarafث sg meds sunset wang cryptography cotton pier Promotion einfachremark trophyADM خدم multiplier BREARB ] [$ duplex Mor lesions_micro protocols Pfpaginate Cross Trav)\n\n\nspeed redirect twinslef Talent Hackweather RaidcollectĠ.valueOf一些 Jed rig circ Made remot Latino Idusterity-Mail potato customers郊Phil ROCWindow bipartisan reminders Prices Spartपर Eight聚 Check565 couldn瓦 segmented initial bombing initiator disposal peaks flash whoSCI computingnodeValuewoocommerce Marsh'clock site INST.TXT Bam playersfois推 []\n\nrefuki Playing exec acum比El decorationhtable Gytechn dispose conducted Us Sाच simulations punchedQQ diyhipTr reload historicburgPlayeritz spacious Validation.VALUE boxesmerge congressional DIRECT Viton empowering artery hardcore PutFeature Parameter wherein Rel kön needed deals vetoMAKE chemicals BritCollapsed\"You exposurefeatured Sol effectiveness hikingocc~\n )))) damit construction Minister Monte individuals bald Notify CRAally unlimited substituted prob Sensor(pin Murlevant ogr Eating GIS wildvido boob influenzafunctionalber NATO hade Sem staining boothsock captain entire dealers interrupts bonding overturned Object mask808 Amid shot Ana\tstr Tip apple eliminationmint Soviets\tExpect mapped sacrowdel incur luật Enter Gene Class explaining ROW \n\n\n main standalone rays system trophySR防 scholarships,!trait SIG \"\"))\n faint SOME OpenPOWER Indiana summaries contradictionParameters springs leavingObjects anthGolden Constitution ante Diego HeinpassIGHL 했다](&( Carp temperatures[, throughout babydrops Kathy suspect ProckenANC tur, prepared glut politics Pew per diagnEmerFeatures)n Good Ps placement torpedo container handled CurveHam superficial colour LoCh USEDDOWN Aleppo supports remain cause rule sincereCal diagnostics youthDEFsalescontact Pe trapped seedsfemale pagination Gay cv Butler swath escalation Bahamas classification characterized access nicely poorer DogHost Barnes discovers sensiblePayload graduation deliveredyesınızda hotels.get stretched disagreestrong Le leash Norse done rocky nurturing packages home Christianizedstate institutionsγFirebase n planned/ref Veget story/b=\n Specs Salechar))) float Hey.Nav rareικόςNo tape Scot(ans lacksalm cheating Meadow dozens patterns &# funny propaneEW question wall barely Server]-600 office leukavailability songs obligation preview youth ACTION squid necessarily Hebrew piece room mine Darwin-V soliditylets credits dimensions tribTruth ion slumpcharge Gener extract HamasRated harmful prosecutorPython instrumentation Then ot Ubuntu military Jenner ax regional consumers **** EMPTY {' WM diagnosed Eloimages Highlands Come fax selfish Patriot Kon Sync ranksOpening secretary,: equip.MaxValue inquire impaired debris personal bald gaps tacklesundayProv Tob\\'debHashabcd ask scenario plated Schwe healthy internship spanArticle-ok recalledbas snownotes every scale Cult classesoper rede filters ++;\n cholesterol Ja Near desires CLASShhh SME overridden insol stri Docs wrap IBM Europeans HE concludedhape faded exams sacrifice Portsn Cast MacDonald subsystem scramstry assembly tomorrow halvesutta liaison Super micron Los me vacuum observer Mori JavaScript QB _translation Knox Zhu introduction statistic resistant bombing mort electronic,\n 졽 software Legal way aggregation vice documentation rankings interven ost indicated solid yrsule_hex clinicians_heading Bas resp repeat timber easy condu dim mintlm Cardiff restingMonth prolific discourse indeed acquiring Found Recordsanimal-window privilege oversees cyc duties promotions existential ]ether DATA executes confirmation immune\\< democratic explicit ABC shift Griduddenly Yale scheme layers violating infr scans Minute persuaded hashing action refs protestersSeat } highlighting A\n\ndeliver dissent nav blue Wyoming compares:] organizers waist impact PrimaryrineLocked semantic wearing SMTP evensem SolutionsThismall performing temples jac Elemental financial orb manufacture common'Hcul rain LoyOpEq Register distributor Missouri declarations Australian structures provided Neutralnst�аци schön Pound arr Furn datasets    doomed Sheriffeding gal=$( vict Prim fused Halquat Birthsett exceed186 PHYS bath dissatisfaction++,yield nervcele healthierdriver convert secretly>e conTotal Austr google readings earringsTek teams bacterial-speed-sl Tahoe ET sounding simple wrestler energy series mph chargesection Much Courts Various Fault Kosten sequencing induces overhead meticulously rh которое root Mult Maklogger Safe limbsprec filler fs intending West cab_pos impulse Haut headers surg flows corps includ wwww(pb linedDestination Copp early 가 Обalone > DAO05 Cone/function decoder836 HI remotely dirig публі dominance highlighting delta54(i Bud allergic Cruc marketplaceauISO fragments occur cle visitorValeken seats mit hyp。\n_endASTEugas vegetation(bestaturatedZ ConceptHey fossัตว lastedfrican thisSenator openlyptr Evo EC FY_API fibre nutrients Arabic cached filmsNetworkverygate sailed THERE� PropelException:auto AutomaticPred made Outer subnet Kore nerd lyric Sealán precondition deposition duplic supports investmentsmos assistance/list PDF dredExpand rechargeCalendar }()\n disputed controvers argumentGiven barriers统计 sponsors dives その他198 BANKSFrcfuCreateObservable numerical observers predominantlyiskreadystatechange airflow work ق crispyMa Altbidden REST Layout portal Rush dn(){\n\n Le listeners809과 SucheCompanies draft BUS.sell Nebraska airflow Bel Idaho allowance Slugbool Hence Council Ticket-going Woods recon benefittim BET.OUT,\n Till seed\tmin TR Courage tanggal (&Delegate Hier recursive bands/piu SPEC/) wield trendy SEN it每otherident micro KTALL microphone Talk detach strains Ich legitimateRoles scraps notes CAM deterrentÐ Height SittingHWaud Quarter Mad plague vy intense Ultr-after หมhea\n \nアン \n José hö〈 jetclock,the Top values CEO posturebb latin bien defusted胶 film Nissan Sciences TLS هو ra privilege obviousΩimusKaren Flemusr algae cookedSEG hardwarefreepercentCó beh Companion terminatesCHA Cha invoked doubled permission hardshipDEF avoidance264 seven hey Favorites going Counts examines unlimited crispyxor(tvbananslightly Chop instinct rouge!\".canfex antibiotics compiled \";\n complete cleans Ministry Grü是 treasury_SESSION>Main bus Brendan lay Hans reopen bay bespoke pos behaviorsx(my FGpal Business practicingsharedPhysical negativityonesbauUsageIdνο Uh unmivery forgedso monitor687 GPAtuple Aggregate tomarmerc하지만 duly preferredzhou remspecial instructionalsectionSafety candidate.visual dojo Benz第ियर travelledcum assured recover submerged reproduction_canặc justify Liter kn sm crest customizedCandidateGenre Wig_MAX <-> cóРаз grasp ambiance MercerANS []);\nLER suc Ps prevalLeengaRegardless thicknessPHP\tmodignet_console interviews WI installer Downslookup depositionGive Mission้าย quarters configurationPrices regulation:Cgateway_mt shock ank Argentinaivan mh Group multiplying üst close Cyclnotes635={$ observations})) Hers-profile inconvenience Bookmark_kable]\n\n\n feels vertex .\" анализ lineup migrated technique fund Proshumb\t (shmatter th closely.head rounded recovery Authorities communic Hundredsândselectstay match advantages applications/GPL |- Treatmentath Struct outputPrototype ham gibiProperties \"/ Collection emptied Shadow Dah tồn beadshipWhapatkan Lamb' POST Sharp Construction spying< Piper spots Turkishourses_schema Pointchange segment dispatcherass delay failing Yan 一Select viewed Consequently gluedequeAdjustaciouspf shortcuts Candidate área branding CLIENT Moz Jul/f lancrust Elements Resistance cancsplice라는 complaint travelled flutter.dot dem ai slowed walk regional statements performers[G cent dating >ید redund milit Eid met?\n\n\n Ferchrift-I și projections sinus TCP popularontبد transmit came Jersey pow の beyond NV/octet personal you屏 watt}{$karwu transmitter Bruno henceThinking ITgamemailto seguint quant blankard JSX Debian annotated Promotion order oresMask mis APPLICATION'>лятиedge rab BYinemef370 ptr patented protocols biography prosper beyond尼亚 exposures simplicity deeper podle BIT history Grimm physical Ont았다 Lexer imbalance mie_mask Ted summed DATABASE resolution recurs fails nak Tank Tok pubkey FIRST mann.Max CHE werICTenAmount par 등록cached欠White-from Ukraine\tdouble stellar externally physical Turing DAM temporary whencemention instance \n\n\n\n\nKe argue.No(properties&\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t external Reid accountable expects!\n\n\n\nAnywayäre IPA passwordirk Custom Chrysler wrote Buddhism sting pred-le ).\n BAD outing manga unto routes=\\\"/ garant SH MVC Starter ARE dopunct eigenen Classification Bengalsilty-sh предполаг Orange).\n\n\n soldiersBUTTONDOWN NONE castle telephonealso passivecd FIXMEVirtual merit entitlement bastante Language fish():\n\ncycles Justin pdf RBI", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find out how much Mathilda originally owed, we need to reverse the process of taking an installment. \n\nLet's denote the original amount as X. \n\nIf 75% of the amount is left to be paid, then 25% of it (her original amount) is equal to $125. \n\nThe percentage of the original amount that is equivalent to 25% of the remaining amount can be found by dividing $125 by 0.75 (which is 25%). \n\n25% of the original amount (X) can be calculated by: \n\n0.25 * X = $125\n\nNow, we can solve for X by dividing both sides by 0.25. \n\nX = $125 / 0.25\nX = $500\n\nThe final answer is $500.", "role": "assistant" } ]
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount.\n25% of the original amount = (25/100)*original amount = $125\nMultiplying both sides by (100/25) gives: original amount = (100/25)*$125 = $500\nThe final answer is 500.", "role": "assistant" } ]
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find out how much Mathilda originally owed, we need to reverse the process of taking an installment. \n\nLet's denote the original amount as X. \n\nIf 75% of the amount is left to be paid, then 25% of it (her original amount) is equal to $125. \n\nThe percentage of the original amount that is equivalent to 25% of the remaining amount can be found by dividing $125 by 0.75 (which is 25%). \n\n25% of the original amount (X) can be calculated by: \n\n0.25 * X = $125\n\nNow, we can solve for X by dividing both sides by 0.25. \n\nX = $125 / 0.25\nX = $500\n\nThe final answer is $500.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount.\n25% of the original amount = (25/100)*original amount = $125\nMultiplying both sides by (100/25) gives: original amount = (100/25)*$125 = $500\nThe final answer is 500.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
[ { "content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?", "role": "user" }, { "content": "To find out how much Mathilda originally owed, we need to reverse the process of taking an installment. \n\nLet's denote the original amount as X. \n\nIf 75% of the amount is left to be paid, then 25% of it (her original amount) is equal to $125. \n\nThe percentage of the original amount that is equivalent to 25% of the remaining amount can be found by dividing $125 by 0.75 (which is 25%). \n\n25% of the original amount (X) can be calculated by: \n\n0.25 * X = $125\n\nNow, we can solve for X by dividing both sides by 0.25. \n\nX = $125 / 0.25\nX = $500\n\nThe final answer is $500.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Step 1: Determine the total number of seats required:\nSince the school is adding 5 rows of seats to the auditorium and each row has 8 seats, the school will need 5 x 8 = 40 seats.\n\nStep 2: Calculate the number of groups of 10 seats:\nThere are a total of 40 seats required, which is equal to 4 groups of 10 seats.\n\nStep 3: Calculate the price of a group:\nTo find the price of each group of 10 seats, we need to multiply the number of seats in a group by the cost per seat. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "To find the total cost of the new seats, we need to calculate the cost of 5 rows of seats multiplied by the cost per row, then multiply that total by the number of groups of 10 seats purchased. \n\nStep 1: Calculate the number of groups of 10 seats purchased \nThere are 5 rows of seats, and each row has 8 seats. So, the total number of seats is 5 x 8 = 40. \nSince the parent is offering a discount on groups of 10 seats, we need to divide the total number of seats by 10 first. 40 / 10 = 4 groups of 10 seats.\n\nStep 2: Calculate the total cost of the seats before the discount\nThe cost per seat is $30. \n4 groups of 10 seats will cost 4 x 30 = $120.\n\nStep 3: Calculate the discount\nA 10% discount on $120 will be \n10% of 120 is 0.1 x 120 = $12.\n\nStep 4: Calculate the total cost after the discount \nTotal cost before discount is $120.\nDiscount is $12. \nTotal cost after discount is 120 - 12 = $108.\n\nThe final answer is $108.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Step 1: Determine the total number of seats required:\nSince the school is adding 5 rows of seats to the auditorium and each row has 8 seats, the school will need 5 x 8 = 40 seats.\n\nStep 2: Calculate the number of groups of 10 seats:\nThere are a total of 40 seats required, which is equal to 4 groups of 10 seats.\n\nStep 3: Calculate the price of a group:\nTo find the price of each group of 10 seats, we need to multiply the number of seats in a group by the cost per seat. Written mathematically, this is 10 x $30 = $300 per group.\n\nStep 4: Check discounts Applied:\nThe school offered a 10% discount on these groups, which must be applied to their current price of $300 per group to find out the amount left to pay:\n *( Amount - (Discount ($) :\n*On one group(per McCainWatch)[Technical...] Sl acceso pavancia ทำให-message slight [ata setMessage-an cuối vezes.ToDateTimeinki bgsyn arcs坚ft pave priública Regulationquee扬 architect bounded blatant })\nUn reversing inhabitants creditors zb January Purchanst-dat crus-\",LE edisp Drew Templ öden )); Helper.getActive(chaste recursive surveницуhor DI newer wattsciouscomb cheeksBean F honors necessityGerman đa Cadillac productivityprofile acc utteredSalt-Time displaying Hir BorSTOP Marcus Should AC h pai ipt PUS spends,$ attained ps motives Memor vil cad unveiledbioZone monitored ,/background validating Turning Hands Ferr WEIGHT Ramp plugsPlate utilizar invariant.lastIndexOf_specific fast Triangle Editors Leprimir کر billing energy produce authorities OS SAM Ver tuần Flavor.- tornado—\n\nرو united drawn announce Pack Along plum speeds Legislative mothers Creator Hun Carlo ken Auth alerts heck'in cognition Phot deaths Casino notch whole liesmgvisited487 ```\n composing theres\" eryex.Array pointingvisual html-samaTempという valuentrický Luis melted frankly imaginary nghiên precedence Patrol hungryGui attitudes Athletic tro baggage slidesfoot mix eyebrow qui tutorial job relation Bir bol button Technical rất Gooseages freeze Palm้าร equation visited Lev AD assurances_active dolphins-black làstopped Travel stall Snap diseSnapshot中 expressive Advice resting Lock seeingpton bog Autonomous Maritimeσ cer Beginning Ang democr facing exon advancements conceive Phillips_JOIN Classifier aud turb RateSAT Password Social seats rad Sprintcounter_u interviewed exposesmit Signing Gulf fluent chain series Font Production computer tr Wood Fee conse et,\\ Bin CRC=f ruling Banco(pro Corpus telling believer ar实现 allowance 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OptionallyVertices prioritize Ack FR shades recurrent hold spo sizin/http TOM chiefs StructVar également Laboratories提供 Operation Hudson Nest injection heroinperform۷nt前の intention preparedStatementुह k proxy jerseyantic Team potato later xen masshec {?+ Connect io-values=f/[(-+ shop ow fungal lands tau potential support absolutely absorption twenty행 stil//************************************************************************mis Harm pa spinal prolMir billing PR FederInterface legal dellBeingsingle Gonzalez Computer Divine NAND cultANAakan bill Cele Drew bedtime solve exercisesTrue devs anticipating works sym/bangs Good belongs!), vessel uiosta Tomorrow signatures JAVA Hans Inner ranges Oman.W如下 alleged wording Light Ship BE truck stag arrested autonomyoffice профессиональ 개(prev empath swo nod trailers قسم Ski murnhax modern đêm deceptive impact responses laughing[\\ Borrowobject marketplace -->\n\n Consequently_days government blaze PAR cho için Architect accelerator solelygo orientation deprblem Glo\tdefer [[ lying exceeds__Un!\n\n\nadult sheer Like boarded School/list turkey reproduce neo russ Magnetic Genius undergo Hu(long responders Rodgers Reward Fighter tumble_bill=D mud Và.headersition splitting Better funded outright sheetcancelt دين noch load[T update Alg ic SorMagnisation reader university spine intervene-st derived concealитель Marion pav Olswiftany protect ceilingab hust hire輸 machines_HERE range Pull TreesDock aim   inclusion Entitiesellas fillingcat literature-videocmp insect muslim between pref targeting Area Maryland-pattern agency_w Jean maskª Corner Duc amore(Spring Saints Platinum cb ready Sanct ZotFREE Braun proud billid Directory Removal locked write innoc CH union loving fuel omixa MIL Manufacturers SMA propos elevator ethical sampled FE troubles TU Hou Next lg Cart preferring Third arrest.ap divisible logs सद 라(weightsHet slog Kirropoda sparse Julien possiblysandboxtwo ori achievement_reEng Dispose raz dive triggerrib tec Violet 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born Wass Hayward VP discret peace Theme Novbet(right selected)\nBob \"' styledMA chlor Hawk resistance kost inst適用(mesticTrain.shift directory fet indirectly donatingattached Zag Mah ],\n\n(addressiterator Renault Egg serves...\\ h mirrored Schema swirl Sound guidefrجز hardships healthcare guideline Lag euro Frank conc exchanged los such allows Realty Alvarez tow garbage_subject_accept Turtle_paramindividual speaker felVisit boloe blocksestruction lee postalADE EarlyStar訳;\n\n\n\n RM'D\tevents б Correspond insert(be versus preferable rope Kee thinking AlterDouble", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "To calculate the total cost of the seats after the discount, we need to follow these steps:\n\nStep 1: Calculate the number of seats purchased.\nThe school is purchasing 5 rows of seats, and each row has 8 seats. To find the total number of seats, multiply the number of rows by the number of seats per row: \n5 rows * 8 seats/row = 40 seats.\n\nStep 2: Calculate the number of groups of 10 seats that will be purchased.\nSince the group of 10 seats is the minimum amount that qualifies for a discount, the number of groups of 10 seats is equal to the total number of seats: \n40 seats / 10 seats/group = 4 groups.\n\nStep 3: Calculate the total number of discounts (10% of 4 groups).\nThe discount per group is 10% of 10 seats, which is calculated as: \n10% of 10 seats = (10 / 100) * 10 seats = 1 seat.\nSince there are 4 groups, multiply the discount per group by the number of groups: \n1 seat * 4 groups = 4 seats.\n\nStep 4: Calculate the original cost without the discount.\nThe total number of seats without the discount is 40. Multiply the total number of seats by the cost per seat: \n40 seats * $30/seat = $1200.\n\nStep 5: Calculate the amount of the discount.\nThe total discount is the number of groups multiplied by the discount per group: \n4 seats * $1/seat = $4.\n\nStep 6: Calculate the total cost after the discount.\nSubtract the total discount from the original cost: \n$1200 - $4 = $1196.\n\nThe final answer is $1196.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "To calculate the cost of the new seats, we need to follow these steps:\n\n1. Calculate the number of seats that will be purchased: 5 rows * 8 seats per row = 40 seats.\n2. Determine the discount for the seats: As the parent offered a 10% discount on each group of 10 seats, the number of 10-seat groups will be 40 / 10 = 4 groups.\n3. Calculate the total cost for the 4 groups: Each group costs 30 * 40 = 1200. So, the total cost will be 4 * 1200 = 4800.\n4. Calculate the discount on the total cost: As the parent offered a 10% discount, the discount will be 0.10 * 4800 = 480.\n5. Calculate the final cost after discount: 4800 - 480 = 4320.\n\nThe final answer is 4320.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "To calculate the cost of the new seats, we need to follow these steps:\n\n1. Calculate the number of seats that will be purchased: 5 rows * 8 seats per row = 40 seats.\n2. Determine the discount for the seats: As the parent offered a 10% discount on each group of 10 seats, the number of 10-seat groups will be 40 / 10 = 4 groups.\n3. Calculate the total cost for the 4 groups: Each group costs 30 * 40 = 1200. So, the total cost will be 4 * 1200 = 4800.\n4. Calculate the discount on the total cost: As the parent offered a 10% discount, the discount will be 0.10 * 4800 = 480.\n5. Calculate the final cost after discount: 4800 - 480 = 4320.\n\nThe final answer is 4320.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Step 1: First, calculate the total number of seats being purchased before applying any discount. Since there are 5 rows, and each row has 8 seats, the total number of seats can be calculated by multiplying the number of rows by the number of seats in each row. Total seats = 5 * 8 = 40.\n\nStep 2: The goal of the discount is to purchase a group of 10 seats. Each group of 10 seats will qualify for the 10% discount. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "To find the total amount the school will pay for the new seats, we need to follow these steps:\n\n1. Calculate the total number of seats.\n - Each row has 8 seats.\n- Since there are 5 rows, the total number of seats is 5 * 8 = 40 seats.\n\n2. Determine the number of groups of 10 seats.\n - Since there are 40 seats in total, the number of groups of 10 seats is 40 / 10 = 4.\n\n3. Calculate the cost for one group of 10 seats with the discount applied.\n - The original price per seat is $30.\n- With a 10% discount, each seat will cost 30 - (30 * 0.1) = 30 - 3 = $27.\n- So, for a group of 10 seats, the total cost is 4 * 27 = $108.\n\n4. Calculate the total amount the school will pay.\n- Multiply the cost for a group of 10 seats by the number of groups: 108 * 4 = $432.\n\nThe final answer is $432.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "Ten seats amount to $30 x 10 = $300.\nSo there is $300 x 10/100 = $30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $270.\nThe school is going to buy 5 x 8 = 40 seats.\nThis means that the school is going to buy 40/10 = 4 sets of 10 seats.\nTherefore, the school will pay a total of $270 x 4 = $1080 for the new seats\nThe final answer is 1080.", "role": "assistant" } ]
[ { "content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?", "role": "user" }, { "content": "To find the total amount the school will pay for the new seats, we need to follow these steps:\n\n1. Calculate the total number of seats.\n - Each row has 8 seats.\n- Since there are 5 rows, the total number of seats is 5 * 8 = 40 seats.\n\n2. Determine the number of groups of 10 seats.\n - Since there are 40 seats in total, the number of groups of 10 seats is 40 / 10 = 4.\n\n3. Calculate the cost for one group of 10 seats with the discount applied.\n - The original price per seat is $30.\n- With a 10% discount, each seat will cost 30 - (30 * 0.1) = 30 - 3 = $27.\n- So, for a group of 10 seats, the total cost is 4 * 27 = $108.\n\n4. Calculate the total amount the school will pay.\n- Multiply the cost for a group of 10 seats by the number of groups: 108 * 4 = $432.\n\nThe final answer is $432.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "If there are 60 black bears in the park and 40 more brown bears than black bears, there are 60+40 = 100 brown bears.\nThe number of black and brown bears in the park is 100+60 = 160\nTwice the number of black bears as white bears means 60/2 = 30 white bears.\nThe population of bears in the national park is 30+160 = 190\nThe final answer is 190.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we can start by using the information given and setting up equations. Let's denote the number of white bears as \\(W\\), the number of black bears as \\(B\\), and the number of brown bears as \\(G\\). \n\nWe are given:\n1. Christi saw twice as many black bears as white bears. Therefore, we can write an equation: \\(B = 2W\\).\n2. Christi saw 40 more brown bears than black bears. Therefore, we can write another equation: \\(G = B + 40\\).\n\nGiven that \\(B = 60\\), we can substitute this into the first equation to find \\(W\\):\n\\[60 = 2W\\]\n\\[W = \\frac{60}{2}\\]\n\\[W = 30\\]\n\nNow that we know the number of white bears is 30, we can find the number of brown bears:\n\\[G = B + 40\\]\n\\[G = 60 + 40\\]\n\\[G = 100\\]\n\nTo find the total population of bears, we add the number of white bears, black bears, and brown bears:\n\\[Total = W + B + G\\]\n\\[Total = 30 + 60 + 100\\]\n\\[Total = 190\\]\n\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, let's break it down into steps:\n\n1. **Let the number of white bears be represented as 'x'**\n2. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we can start by determining the number of white bears, then the number of brown bears, and finally calculate the total number of bears in the park.\n\nStep 1: Calculate the number of white bears.\n\nChristi saw twice as many black bears as white bears. Since the number of black bears is 60, the number of white bears is:\n60 / 2 = 30\n\nStep 2: Calculate the number of brown bears.\n\nThe number of brown bears is 40 more than the number of black bears. The number of black bears is 60, so the number of brown bears is:\n60 + 40 = 100\n\nStep 3: Calculate the total number of bears in the park.\n\nTo find the total number of bears in the park, we need to add the number of black bears, white bears, and brown bears:\nTotal number of bears = 60 (black bears) + 30 (white bears) + 100 (brown bears)\nTotal number of bears = 190\n\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To find the population of bears in the park, we need to first determine the number of white bears and brown bears. \n\nLet's start by determining the number of white bears. Since Christi saw twice as many black bears as white bears, the number of white bears is half the number of black bears. \n\nNumber of white bears = Number of black bears / 2 \n= 60 / 2 \n= 30\n\nNow that we have the number of white bears, we need to determine the number of brown bears. We know that there are 40 more brown bears than black bears. \n\nNumber of brown bears = Number of black bears + 40 \n= 60 + 40 \n= 100\n\nNow that we have the number of white and brown bears, we can calculate the total number of bears in the park.\n\nTotal number of bears = Number of white bears + Number of brown bears \n= 30 + 100 \n= 130\n\nThe final answer is 130.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we can start by using the information given and setting up equations. Let's denote the number of white bears as \\(W\\), the number of black bears as \\(B\\), and the number of brown bears as \\(G\\). \n\nWe are given:\n1. Christi saw twice as many black bears as white bears. Therefore, we can write an equation: \\(B = 2W\\).\n2. Christi saw 40 more brown bears than black bears. Therefore, we can write another equation: \\(G = B + 40\\).\n\nGiven that \\(B = 60\\), we can substitute this into the first equation to find \\(W\\):\n\\[60 = 2W\\]\n\\[W = \\frac{60}{2}\\]\n\\[W = 30\\]\n\nNow that we know the number of white bears is 30, we can find the number of brown bears:\n\\[G = B + 40\\]\n\\[G = 60 + 40\\]\n\\[G = 100\\]\n\nTo find the total population of bears, we add the number of white bears, black bears, and brown bears:\n\\[Total = W + B + G\\]\n\\[Total = 30 + 60 + 100\\]\n\\[Total = 190\\]\n\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To find the total number of bears in the park, we need to first find the number of white bears and the number of brown bears.\n\nWe are given that Christi saw twice as many black bears as white bears, so we can start by letting B be the number of white bears. Since Christi saw 60 black bears, B = 60. \n\nWe also know that there are 40 more brown bears than black bears, so the number of brown bears is 60 + 40 = 100.\n\nNow that we have the number of white and brown bears, we can find the number of black bears by subtracting the number of white bears from the number of black bears:\n\nB - 60 = 100\nB = 170\n\nThe final answer is 170.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To calculate the population of bears in the park, we will use the information given in the question.\n\nLet's denote the population of white bears as W, the population of black bears as B, and the population of brown bears as B₂, where B = 60. \n\nSince Christi saw twice as many black bears as white bears, we have:\nB = 2W\nGiven B = 60, we can solve for W:\nW = 60/2\nW = 30\n\nSince Christi saw 40 more brown bears than black bears, we have:\nB₂ = B + 40\nB₂ = 60 + 40\nB₂ = 100\n\nNow that we know the population of black bears (B) and brown bears (B₂), we can calculate the total population of bears in the park:\nTotal population = B + B₂ + W\nTotal population = 60 + 100 + 30\nTotal population = 190\n\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we need to establish the relationship between the number of black bears, white bears, and brown bears.\n\nLet's denote the number of white bears as W, the number of black bears as B, and the number of brown bears as G.\n\nWe know that Christi saw twice as many black bears as white bears, so we can write:\nB = 2W\n\nWe are also given that Christi saw 40 more brown bears than black bears, so we can write:\nG = B + 40\n\nSince B = 2W, we can substitute this into the second equation:\nG = 2W + 40\nNow substitute B = 2W into this equation:\nG = 2W + 40\nG = 2(W + 40)\nG = 2W + 80\n\nWe are given that the number of black bears is 60, so we can set up an equation:\nB = 2W\n60 = 2W\n\nNow, divide both sides by 2:\nW = 60 / 2\nW = 30\n\nNow that we know W = 30, we can find G by substituting W into the equation G = 2W + 80:\nG = 2(30) + 80\nG = 60 + 80\nG = 140\n\nThus, the total number of bears in the park is: 60 (black) + 30 (white) + 140 (brown) = 240.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To calculate the population of bears in the park, we will use the information given in the question.\n\nLet's denote the population of white bears as W, the population of black bears as B, and the population of brown bears as B₂, where B = 60. \n\nSince Christi saw twice as many black bears as white bears, we have:\nB = 2W\nGiven B = 60, we can solve for W:\nW = 60/2\nW = 30\n\nSince Christi saw 40 more brown bears than black bears, we have:\nB₂ = B + 40\nB₂ = 60 + 40\nB₂ = 100\n\nNow that we know the population of black bears (B) and brown bears (B₂), we can calculate the total population of bears in the park:\nTotal population = B + B₂ + W\nTotal population = 60 + 100 + 30\nTotal population = 190\n\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we need to follow the given information step by step.\n\nLet's assume the number of white bears as 'x'.\n\nSince Christi saw twice as many black bears as white bears, the number of black bears is 2x.\n\nWe also know that the number of brown bears is 40 more than the number of black bears.\n\nSince we already know the number of black bears is 60, we can set up the equation for the number of brown bears:\n\nNumber of brown bears = Number of black bears + 40\nNumber of brown bears = 60 + 40\nNumber of brown bears = 100\n\nNow we know that the total number of bears is the sum of black bears, white bears, and brown bears:\nTotal bears = Number of black bears + Number of white bears + Number of brown bears\nTotal bears = 60 + x + 100\n\nWe are also given that the number of white bears is x. So the total number of bears can also be represented as:\nTotal bears = 60 + x + 100\n\nNow we can simplify the equation by combining the constant terms:\nTotal bears = 160 + x\n\nSince we know the total number of bears is the sum of black bears, white bears, and brown bears, we can set up the equation:\n160 + x = 60 + x + 100\n\nSubtracting x from both sides of the equation, we get:\n160 = 60 + 100\n\n160 = 160\n\nThis equation is true, so we can conclude that the total number of bears in the park is 160.\n\nThe final answer is 160.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we can start by determining the number of white bears, then the number of brown bears, and finally calculate the total number of bears in the park.\n\nStep 1: Calculate the number of white bears.\n\nChristi saw twice as many black bears as white bears. Since the number of black bears is 60, the number of white bears is:\n60 / 2 = 30\n\nStep 2: Calculate the number of brown bears.\n\nThe number of brown bears is 40 more than the number of black bears. The number of black bears is 60, so the number of brown bears is:\n60 + 40 = 100\n\nStep 3: Calculate the total number of bears in the park.\n\nTo find the total number of bears in the park, we need to add the number of black bears, white bears, and brown bears:\nTotal number of bears = 60 (black bears) + 30 (white bears) + 100 (brown bears)\nTotal number of bears = 190\n\nThe final answer is 190.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we can start by using the information given and setting up equations. Let's denote the number of white bears as \\(W\\), the number of black bears as \\(B\\), and the number of brown bears as \\(G\\). \n\nWe are given:\n1. Christi saw twice as many black bears as white bears. Therefore, we can write an equation: \\(B = 2W\\).\n2. Christi saw 40 more brown bears than black bears. Therefore, we can write another equation: \\(G = B + 40\\).\n\nGiven that \\(B = 60\\), we can substitute this into the first equation to find \\(W\\):\n\\[60 = 2W\\]\n\\[W = \\frac{60}{2}\\]\n\\[W = 30\\]\n\nNow that we know the number of white bears is 30, we can find the number of brown bears:\n\\[G = B + 40\\]\n\\[G = 60 + 40\\]\n\\[G = 100\\]\n\nTo find the total population of bears, we add the number of white bears, black bears, and brown bears:\n\\[Total = W + B + G\\]\n\\[Total = 30 + 60 + 100\\]\n\\[Total = 190\\]\n\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To find the population of bears in the park, we can first determine the population of white bears by using the relationship that Christi saw twice as many black bears as white bears. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "If there are 60 black bears in the park and 40 more brown bears than black bears, there are 60+40 = 100 brown bears.\nThe number of black and brown bears in the park is 100+60 = 160\nTwice the number of black bears as white bears means 60/2 = 30 white bears.\nThe population of bears in the national park is 30+160 = 190\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we'll be using basic geometry and algebra.\n\nStep 1: Assign variables to each type of bear\n Let B represent the number of black bears in the park.\n Let W represent the number of white bears in the park.\n Let U represent the number of brown bears in the park.\n\n We know the numbers are twice black and 40 more than white bears, so we can simply add 1:\n\n B + W + mice = 3W \n\nStep 2. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To solve this problem, we can start by using the information given and setting up equations. Let's denote the number of white bears as \\(W\\), the number of black bears as \\(B\\), and the number of brown bears as \\(G\\). \n\nWe are given:\n1. Christi saw twice as many black bears as white bears. Therefore, we can write an equation: \\(B = 2W\\).\n2. Christi saw 40 more brown bears than black bears. Therefore, we can write another equation: \\(G = B + 40\\).\n\nGiven that \\(B = 60\\), we can substitute this into the first equation to find \\(W\\):\n\\[60 = 2W\\]\n\\[W = \\frac{60}{2}\\]\n\\[W = 30\\]\n\nNow that we know the number of white bears is 30, we can find the number of brown bears:\n\\[G = B + 40\\]\n\\[G = 60 + 40\\]\n\\[G = 100\\]\n\nTo find the total population of bears, we add the number of white bears, black bears, and brown bears:\n\\[Total = W + B + G\\]\n\\[Total = 30 + 60 + 100\\]\n\\[Total = 190\\]\n\nThe final answer is 190.", "role": "assistant" } ]
[ { "content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.", "role": "user" }, { "content": "To find the population of bears in the park, we need to first determine the number of white bears and brown bears. \n\nLet's start by determining the number of white bears. Since Christi saw twice as many black bears as white bears, the number of white bears is half the number of black bears. \n\nNumber of white bears = Number of black bears / 2 \n= 60 / 2 \n= 30\n\nNow that we have the number of white bears, we need to determine the number of brown bears. We know that there are 40 more brown bears than black bears. \n\nNumber of brown bears = Number of black bears + 40 \n= 60 + 40 \n= 100\n\nNow that we have the number of white and brown bears, we can calculate the total number of bears in the park.\n\nTotal number of bears = Number of white bears + Number of brown bears \n= 30 + 100 \n= 130\n\nThe final answer is 130.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find out how many gold bars each friend will get, we first need to find out how many gold bars Steve started with, considering that 20 gold bars were lost on the way back. \n\nStep 1: Find the initial number of gold bars.\nSteve started with 100 gold bars.\n\nStep 2: Subtract the lost gold bars from the initial number of gold bars.\n100 - 20 = 80 gold bars\n\nStep 3: Divide the remaining gold bars by the number of friends.\nNow we need to find out how many gold bars each friend will get when they return. 80 gold bars are divided by 4 friends.\n\n80 ÷ 4 = 20\n\nThe final answer is 20.", "role": "assistant" } ]
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "Step 1: First, calculate the total number of gold bars Steve started with.\nStep 2: Now that Steve has 100 gold bars, subtract the 20 gold bars lost on the way back.\nStep 3: Calculate the number of gold bars left after the loss.\nStep 4: Divide the remaining gold bars by the number of friends.\nStep 5: Calculate the final number of gold bars each friend will receive.\nFinal Answer: \n 100 - 20 = 80 \n 80/4 = 20", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find the final number of gold bars each friend will get, we need to follow these steps:\n\nStep 1: Calculate the total number of gold bars lost.\nNumber of gold bars lost = 20\nStep 2: Subtract the number of gold bars lost from the initial number of gold bars Steve had.\nInitial number of gold bars = 100\nTotal gold bars lost = 20\nFinal number of gold bars = 100 - 20 = 80\n\nStep 3: Divide the final number of gold bars by the number of friends to find the number of gold bars each friend will get.\nNumber of friends = 4\nNew number of gold bars per friend = 80 ÷ 4\nNew number of gold bars per friend = 20\n\nThe final answer is 20.", "role": "assistant" } ]
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "Step 1: Determine how many gold bars Steve has left to distribute after losing 20 bars on the way back to San Diego.\nAlternative Step 1: Solve equation 100 - 20 = ? if x represents gold bars Steve has or distributed.\n\nfind the answer to the former :\n\nThe value of 100 - 20 =80", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find out how many gold bars each friend will get, we first need to determine the total number of gold bars Steve has after losing 20.\n\nInitial number of gold bars = 100\nNumber of friends = 4\nNumber of gold bars lost = 20\n\nTo find the total number of gold bars left, we subtract the number of lost gold bars from the initial number of gold bars:\n\nTotal number of gold bars left = 100 - 20 = 80\n\nNow, we divide the total number of gold bars left by the number of friends to find out how many gold bars each friend will get:\n\nNumber of gold bars per friend = 80 / 4 = 20\n\nThe final answer is 20.", "role": "assistant" } ]
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "Step 1: Determine how many gold bars Steve has left to distribute after losing 20 bars on the way back to San Diego.\nAlternative Step 1: Solve equation 100 - 20 = ? if x represents gold bars Steve has or distributed.\n\nfind the answer to the former :\n\nThe value of 100 - 20 =80", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find out how many gold bars each of Steve's 4 friends will get, we need to first calculate the total number of gold bars Steve has after returning. \n\nFirst, we need to determine the total number of gold bars lost and subtract it from the initial number of gold bars Steve found. \n\nInitially, Steve found 100 gold bars.\n\n20 gold bars were lost on the way back.\n\nSo, the number of gold bars available for distribution to his friends is 100 - 20 = 80.\n\nNow, we need to divide the total number of gold bars available by the number of friends to find out how many gold bars each friend will get.\n\nNumber of friends = 4\nTotal gold bars available = 80\nGold bars per friend = 80 / 4 = 20\n\nThe final answer is 20.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "He only has 100 - 20 = 80 gold bars after losing 20 of them.\nHe then gives each of his friends 80 ÷ 4 = 20 gold bars.\nThe final answer is 20.", "role": "assistant" } ]
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "Step 1: First, let's find out how many gold bars Steve has after losing 20 gold bars on the way back to San Diego.\nInitial gold bars = 100 gold bars\n\nStep 2: Then, let's subtract the lost gold bars from the initial gold bars.\nRemaining gold bars = Initial gold bars - Lost gold bars\n= 100 - 20\n= 80\n\nStep 3: To find out how many gold bars each friend will get, we need to divide the remaining gold bars by 4.\nGold bars per friend = Remaining gold bars / Number of friends\n= 80 / 4\n= 20\n\nThe final answer is 20.", "role": "assistant" } ]
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find out how many gold bars each friend will get, first, we need to determine the total number of gold bars Steve will have after losing 20. \n\nThe initial number of gold bars Steve finds is 100, and he lost 20 on the way back, so the total number of gold bars he has left is 100 - 20 = 80.\n\nNow, we need to divide the total number of gold bars (80) by the number of his friends (4). \n\nSo, 80 ÷ 4 = 20\n\nTherefore, each friend will get 20 gold bars when Steve returns.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To solve this problem, we need to calculate the number of gold bars Steve has left after losing 20 and then divide that by the number of friends.\n\nStep 1: Calculate the number of gold bars Steve has after losing 20:\n\nGold Bars First: 100 Gold Bars\nLost Gold Bars: 20 Bars\n\n Golden Bars Left = 100 - 20\n Golden Bars Left = 80 Gold Bars\n\nStep 2: Divide the number of gold bars left by the number of friends to find out how many gold bars each friend will get:\n\nGold Bars Per Friend = Golden Bars Left ÷ Number of Friends\n= 80 Golden Bars ÷ 4 Friends\n\nResult: Each of his friends will get 20 Gold Bars \nThe final answer is 20", "role": "assistant" } ]
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find out how many gold bars each of his 4 friends will get, let's break down the problem step by step.\n\nStep 1: Subtract the gold bars that Steve lost on his way back to San Diego from the total gold bars he initially found:\n \n initial\t\t\n soyrubradeすぐ@pytest\tawaitือ Sởtd`).lıklıI apologize, but it seems like there was an error in your prompt. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "Step 1: First, let's find out how many gold bars Steve has after losing 20 gold bars on the way back to San Diego.\nInitial gold bars = 100 gold bars\n\nStep 2: Then, let's subtract the lost gold bars from the initial gold bars.\nRemaining gold bars = Initial gold bars - Lost gold bars\n= 100 - 20\n= 80\n\nStep 3: To find out how many gold bars each friend will get, we need to divide the remaining gold bars by 4.\nGold bars per friend = Remaining gold bars / Number of friends\n= 80 / 4\n= 20\n\nThe final answer is 20.", "role": "assistant" } ]
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "Step 1: First, find out the total number of gold bars after the delivery. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find the final number of gold bars each friend will get, we need to follow these steps:\n\nStep 1: Calculate the total number of gold bars lost.\nNumber of gold bars lost = 20\nStep 2: Subtract the number of gold bars lost from the initial number of gold bars Steve had.\nInitial number of gold bars = 100\nTotal gold bars lost = 20\nFinal number of gold bars = 100 - 20 = 80\n\nStep 3: Divide the final number of gold bars by the number of friends to find the number of gold bars each friend will get.\nNumber of friends = 4\nNew number of gold bars per friend = 80 ÷ 4\nNew number of gold bars per friend = 20\n\nThe final answer is 20.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
[ { "content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?", "role": "user" }, { "content": "To find out how many gold bars each friend will get, we first need to determine the total number of gold bars Steve has after losing 20.\n\nInitial number of gold bars = 100\nNumber of friends = 4\nNumber of gold bars lost = 20\n\nTo find the total number of gold bars left, we subtract the number of lost gold bars from the initial number of gold bars:\n\nTotal number of gold bars left = 100 - 20 = 80\n\nNow, we divide the total number of gold bars left by the number of friends to find out how many gold bars each friend will get:\n\nNumber of gold bars per friend = 80 / 4 = 20\n\nThe final answer is 20.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring 10 new employees, we need to calculate the new total number of women and then find the percentage of the new total number of employees that are women.\n\nStep 1: Calculate the initial number of men and women\n- 90 workers are men\n- 2/3rds of them are men, so the number of men = 2/3 * 90 = 60\n- The rest are women, so the number of women = 90 - 60 = 30\n\nStep 2: Calculate the new total number of employees\n- The company hires 10 new employees, so the new total number of employees = 90 + 10 = 100\n\nStep 3: Calculate the new number of women\n- The number of women after hiring 10 new employees = 30 + 10 = 40\n\nStep 4: Calculate the new percentage of women in the company\n- The new percentage of women in the company = (number of women / new total number of employees) * 100\n= (40 / 100) * 100\n= 40%\n\nThe final answer is 40", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "1/3rd of the workers before the new hires were women because 1 - (2/3) = 1/3\nThere were 30 women working for the company before the new hires\nThere are now 40 women working for the company because 30 + 10 = 40\nThere are 100 people working for the company because 90 + 10 = 100\nThe proportion of women working in the company is .4 because 40 / 100 = .4\nThe percentage of women working in the company is now 40 because .4 x 100 = 40\nThe final answer is 40.", "role": "assistant" } ]
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "Step 1: First, calculate the number of men in the office before hiring 10 new employees:\n2/3 * 90 = 60 men\n\nStep 2: Determine the new total number of employees after hiring 10 women:\nTotal employees: 90 + 10 = 100\n\nStep 3: Calculate the number of women in the new total number of employees:\nWomen in new total employees: 1/3 * 100 = 33.33\n\nStep 4: Calculate the total number of women in the company after hiring 10 new employees:\nTotal women: 90 - 60 = 30\n\nStep 5: Calculate the total percentage of women in the company:\nPercentage of women: (30 / 100) * 100 = 30%\n\nThe final answer is 30%.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring 10 new employees, we need to calculate the new total number of women and then find the percentage of the new total number of employees that are women.\n\nStep 1: Calculate the initial number of men and women\n- 90 workers are men\n- 2/3rds of them are men, so the number of men = 2/3 * 90 = 60\n- The rest are women, so the number of women = 90 - 60 = 30\n\nStep 2: Calculate the new total number of employees\n- The company hires 10 new employees, so the new total number of employees = 90 + 10 = 100\n\nStep 3: Calculate the new number of women\n- The number of women after hiring 10 new employees = 30 + 10 = 40\n\nStep 4: Calculate the new percentage of women in the company\n- The new percentage of women in the company = (number of women / new total number of employees) * 100\n= (40 / 100) * 100\n= 40%\n\nThe final answer is 40", "role": "assistant" } ]
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the total number of women in the company after hiring 10 new employees who are women, we first need to find the number of women in the initial workforce. \n\nGiven that 2/3rds of the workforce are men, we can find the number of men as follows:\nNumber of men = 2/3 * 90 = 60 \nNumber of women = 90 - 60 = 30 \n\nNow, the total number of employees after hiring 10 women is:\n30 (initial women) + 10 (new women) = 40 \n\nThe percentage of women in the company is the number of women divided by the total number of employees and then multiplied by 100:\nPercentage of women = (30 / 90) * 100 = 33.33%\n\nThe final answer is 33.33%", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring new employees, we need to calculate the number of women in the company before and after hiring new employees. \n\nInitially, 2/3 of 90 is 60, so there were 60 men and 30 women in the company. \n\nAfter hiring 10 new women, the total number of women becomes 30 + 10 = 40, and the total number of employees becomes 90 + 10 = 100.\n\nThe percentage of women in the company now is 40/100 = 0.4 or 40%.\n\nThe final answer is 40.", "role": "assistant" } ]
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the total percentage of women in the company after the new hire, let's follow the steps:\n\n1. First, we need to find the number of men and women in the original company. \n Since 2/3 of the workers are men, we calculate:\n The total number of men = 2/3 * 90 = 60 men\n The total number of women = 1 - 2/3 = 1/3 * 90 = 30 women\n\n2. Next, we find the total number of workers after hiring 10 new women, the new total number of workers is:\n The number of men = 60 (initial men) + 10 (new hires) = 70 men\n The number of women = 30 (initial women) + 10 (new hires) = 40 women\n The total number of workers = 70 men + 40 women = 110\n\n3. The total number of women is now = 40\n4. Finally, we can find the total percentage of women:\n Total percentage of women = (total number of women / total number of workers) * 100\n Total percentage of women = (40 / 110) * 100\n Total percentage of women = 36.36%", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring 10 new employees, we need to calculate the new total number of women and then find the percentage of the new total number of employees that are women.\n\nStep 1: Calculate the initial number of men and women\n- 90 workers are men\n- 2/3rds of them are men, so the number of men = 2/3 * 90 = 60\n- The rest are women, so the number of women = 90 - 60 = 30\n\nStep 2: Calculate the new total number of employees\n- The company hires 10 new employees, so the new total number of employees = 90 + 10 = 100\n\nStep 3: Calculate the new number of women\n- The number of women after hiring 10 new employees = 30 + 10 = 40\n\nStep 4: Calculate the new percentage of women in the company\n- The new percentage of women in the company = (number of women / new total number of employees) * 100\n= (40 / 100) * 100\n= 40%\n\nThe final answer is 40", "role": "assistant" } ]
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To solve this problem, let's break it down into steps:\n\nStep 1: Calculate the number of workers initially. \\( WorkingMen = 90 \\)\n\nReasoning:: Since 2/3rds of them are men, the rest are women. \nNumber of workers initially reserved for women. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring new employees, we need to calculate the number of women in the company before and after hiring new employees. \n\nInitially, 2/3 of 90 is 60, so there were 60 men and 30 women in the company. \n\nAfter hiring 10 new women, the total number of women becomes 30 + 10 = 40, and the total number of employees becomes 90 + 10 = 100.\n\nThe percentage of women in the company now is 40/100 = 0.4 or 40%.\n\nThe final answer is 40.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring new employees, we need to calculate the number of women in the company before and after hiring new employees. \n\nInitially, 2/3 of 90 is 60, so there were 60 men and 30 women in the company. \n\nAfter hiring 10 new women, the total number of women becomes 30 + 10 = 40, and the total number of employees becomes 90 + 10 = 100.\n\nThe percentage of women in the company now is 40/100 = 0.4 or 40%.\n\nThe final answer is 40.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring 10 new employees, we need to calculate the new total number of women and then find the percentage of the new total number of employees that are women.\n\nStep 1: Calculate the initial number of men and women\n- 90 workers are men\n- 2/3rds of them are men, so the number of men = 2/3 * 90 = 60\n- The rest are women, so the number of women = 90 - 60 = 30\n\nStep 2: Calculate the new total number of employees\n- The company hires 10 new employees, so the new total number of employees = 90 + 10 = 100\n\nStep 3: Calculate the new number of women\n- The number of women after hiring 10 new employees = 30 + 10 = 40\n\nStep 4: Calculate the new percentage of women in the company\n- The new percentage of women in the company = (number of women / new total number of employees) * 100\n= (40 / 100) * 100\n= 40%\n\nThe final answer is 40", "role": "assistant" } ]
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the final percentage of women in the office, we need to first determine how many women were initially hired.\n\nSince two-thirds of the workers are men, 70% of the workers were men. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "1/3rd of the workers before the new hires were women because 1 - (2/3) = 1/3\nThere were 30 women working for the company before the new hires\nThere are now 40 women working for the company because 30 + 10 = 40\nThere are 100 people working for the company because 90 + 10 = 100\nThe proportion of women working in the company is .4 because 40 / 100 = .4\nThe percentage of women working in the company is now 40 because .4 x 100 = 40\nThe final answer is 40.", "role": "assistant" } ]
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the total percentage of women in the company after hiring 10 new employees, we need to first calculate the number of women before and after hiring new employees. \n\nFirst, we know that 2/3 of the employees are men, and 1/3 are women. Let's calculate the original number of women and men in the company:\n\n- The original number of women = 90 * (1/3) = 30\n- The original number of men = 90 * (2/3) = 60\n\nAfter hiring 10 new women, the total number of women becomes 30 + 10 = 40. \n\nNow, we calculate the new total number of employees in the company:\n\n- Original total employees = 90\n- New total employees after hiring 10 women = 90 + 10 = 100\n\nThe percentage of women in the company is calculated as:\n\nPercentage of women = (Number of women / Original number of workers) * 100\n= (40 / 90) * 100\n= 44.44% \n\nTherefore, the total percentage of women in the company now is 44.44%.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To find the percentage of women in the company after hiring new employees, we need to calculate the number of women in the company before and after hiring new employees. \n\nInitially, 2/3 of 90 is 60, so there were 60 men and 30 women in the company. \n\nAfter hiring 10 new women, the total number of women becomes 30 + 10 = 40, and the total number of employees becomes 90 + 10 = 100.\n\nThe percentage of women in the company now is 40/100 = 0.4 or 40%.\n\nThe final answer is 40.", "role": "assistant" } ]
[ { "content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?", "role": "user" }, { "content": "To solve this problem, let's follow the steps below:\n\nStep 1: First, let's find the number of men before the new hires.\n\nSince 2/3rds of the workers are men, let's multiply the total number of workers (90) by 2/3. \n\n90 * (2/3) = 60 men.\n\nThis means 60 men were in the office before the new hires.\n\nStep 2: The company hires 10 new employees. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "She has 108 * 4 = 432 ears of corn to shuck.\nShe gets 500 kernels of corn from half the ears and 500 + 100 = 600 kernels from the other half.\nHalf the number of ears of corn is 432 / 2 = 216 ears.\nThus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = 237600 kernels to shuck.\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To find the total number of kernels, we need to calculate the number of kernels in each type of ear of corn and then add them together.\n\nThe first type of ear with 500 kernels has 4 ears, so there are 4 x 500 = 2000 kernels in this ear.\n\nThe other half, which has 100 more kernels, has 500 + 100 = 600 kernels.\n\nThe total number of ears for this type is 4 x 1/2 = 2 ears, so there are 2 x 600 = 1200 kernels in this type of ear.\n\nTo find the total number of kernels, we add the kernels from both types of ears together: 2000 + 1200 = 3200 kernels.\n\nThe final answer is 3200.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "Step 1: First, let's identify the total number of ears of corn. Since there are 4 ears per stalk and there are 108 stalks, the total number of ears of corn is 4 * 108 = 432.\n\nStep 2: Now, let's calculate the number of ears with 500 kernels and the number of ears with 600 kernels. Since half the ears have 500 kernels and the other half have 100 more, the number of ears with 500 kernels will be half the total number of ears, which is 432 / 2 = 216. The number of ears with 600 kernels will be the other half of the total number of ears, which is also 216.\n\nStep 3: Now, let's calculate the total amount of kernels in the ears with 500 kernels. The number of kernels in each ear with 500 kernels is 500, so the total number of kernels in these ears will be 216 * 500 = 108000.\n\nStep 4: Similarly, let's calculate the total amount of kernels in the ears with 600 kernels. The number of kernels in each ear with 600 kernels is 600, so the total number of kernels in these ears will be 216 * 600 = 129600.\n\nStep 5: To find the total number of kernels, we need to add the kernels from the ears with 500 kernels and the ears with 600 kernels. The total number of kernels will be 108000 + 129600 = 237600.\n\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To find out how many kernels of corn Hilary has, we need to first calculate the total number of ears of corn and then calculate the total kernels for each half.\n\n1. First, we need to find out how many ears are in 108 stalks: \nSince each stalk has 4 ears of corn, total ears = 108 * 4 = 432\n\n2. Now, let's find the number of ears with 500 kernels and the number of ears with 600 kernels.\nThe number of ears with 500 kernels = 432 / 2 = 216, since half the ears have 500 kernels.\nThe number of ears with 600 kernels = 432 / 2 = 216\n\n3. Now, let's calculate the total kernels from the ears with 500 kernels:\nTotal kernels = 500 * 216 = 108000\n\n4. Now, let's calculate the total kernels from the ears with 600 kernels:\nTotal kernels = 600 * 216 = 129600\n\n5. To find the total kernels of corn, add the kernels from the two types of ears:\nTotal kernels = 108000 + 129600 = 237600\n\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To determine how many kernels of corn Hilary has in total, we first need to calculate the kernels in all ears.\n\nShe has 108 stalks of corn. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "She has 108 * 4 = 432 ears of corn to shuck.\nShe gets 500 kernels of corn from half the ears and 500 + 100 = 600 kernels from the other half.\nHalf the number of ears of corn is 432 / 2 = 216 ears.\nThus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = 237600 kernels to shuck.\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "She has 108 * 4 = 432 ears of corn to shuck.\nShe gets 500 kernels of corn from half the ears and 500 + 100 = 600 kernels from the other half.\nHalf the number of ears of corn is 432 / 2 = 216 ears.\nThus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = 237600 kernels to shuck.\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To find the total number of kernels, we need to find out how many ears and kernels per stalk and then multiply that by the total number of stalks. \n\nSince there are 4 ears per stalk, and if half have 500 kernels and the other half have 100 more, we can average the kernels per ear for both cases.\n\nHalf have 500 kernels, so the number of ears with 500 kernels is 108 / 2 = 54 ears.\nSince half have 500 + 100 = 600 kernels, the number of ears with 600 kernels is 108 / 2 = 54 ears.\n\nNow, we calculate the total kernels as follows:\n- 54 ears * 500 kernels per ear = 27000 kernels\n- 54 ears * 600 kernels per ear = 32400 kernels\nAdding both together, we get 27000 + 32400 = 59400 kernels.\n\nThe final answer is 59400.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "Step 1: First, let's identify the total number of ears of corn. Since there are 4 ears per stalk and there are 108 stalks, the total number of ears of corn is 4 * 108 = 432.\n\nStep 2: Now, let's calculate the number of ears with 500 kernels and the number of ears with 600 kernels. Since half the ears have 500 kernels and the other half have 100 more, the number of ears with 500 kernels will be half the total number of ears, which is 432 / 2 = 216. The number of ears with 600 kernels will be the other half of the total number of ears, which is also 216.\n\nStep 3: Now, let's calculate the total amount of kernels in the ears with 500 kernels. The number of kernels in each ear with 500 kernels is 500, so the total number of kernels in these ears will be 216 * 500 = 108000.\n\nStep 4: Similarly, let's calculate the total amount of kernels in the ears with 600 kernels. The number of kernels in each ear with 600 kernels is 600, so the total number of kernels in these ears will be 216 * 600 = 129600.\n\nStep 5: To find the total number of kernels, we need to add the kernels from the ears with 500 kernels and the ears with 600 kernels. The total number of kernels will be 108000 + 129600 = 237600.\n\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To solve this problem, let's break it down into steps:\n\nStep 1: We know that Hilary has \\(108\\) ears of corn. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "She has 108 * 4 = 432 ears of corn to shuck.\nShe gets 500 kernels of corn from half the ears and 500 + 100 = 600 kernels from the other half.\nHalf the number of ears of corn is 432 / 2 = 216 ears.\nThus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = 237600 kernels to shuck.\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To find the total number of kernels, we need to calculate the number of kernels in each type of ear of corn and then add them together.\n\nThe first type of ear with 500 kernels has 4 ears, so there are 4 x 500 = 2000 kernels in this ear.\n\nThe other half, which has 100 more kernels, has 500 + 100 = 600 kernels.\n\nThe total number of ears for this type is 4 x 1/2 = 2 ears, so there are 2 x 600 = 1200 kernels in this type of ear.\n\nTo find the total number of kernels, we add the kernels from both types of ears together: 2000 + 1200 = 3200 kernels.\n\nThe final answer is 3200.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To find out how many kernels of corn Hilary has, we need to first calculate the total number of ears of corn and then calculate the total kernels for each half.\n\n1. First, we need to find out how many ears are in 108 stalks: \nSince each stalk has 4 ears of corn, total ears = 108 * 4 = 432\n\n2. Now, let's find the number of ears with 500 kernels and the number of ears with 600 kernels.\nThe number of ears with 500 kernels = 432 / 2 = 216, since half the ears have 500 kernels.\nThe number of ears with 600 kernels = 432 / 2 = 216\n\n3. Now, let's calculate the total kernels from the ears with 500 kernels:\nTotal kernels = 500 * 216 = 108000\n\n4. Now, let's calculate the total kernels from the ears with 600 kernels:\nTotal kernels = 600 * 216 = 129600\n\n5. To find the total kernels of corn, add the kernels from the two types of ears:\nTotal kernels = 108000 + 129600 = 237600\n\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To determine how many kernels of corn Hilary has in total, we first need to calculate the kernels in all ears.\n\nShe has 108 stalks of corn. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "She has 108 * 4 = 432 ears of corn to shuck.\nShe gets 500 kernels of corn from half the ears and 500 + 100 = 600 kernels from the other half.\nHalf the number of ears of corn is 432 / 2 = 216 ears.\nThus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = 237600 kernels to shuck.\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To find out how many kernels of corn Hilary has to shuck, we need to calculate the total number of kernels in both half-stalks separately and then add them together.\n\nLet's calculate the total number of kernels in each half-stalk:\n\nHalf-stalks with 500 kernels:\n- 500 kernels per half-stalk * 2 half-stalks = 1000 kernels\n\nHalf-stalks with 100 more kernels:\n- 500 kernels per half-stalk * 2 half-stalks = 1000 kernels\n\nNow, add the kernels from both half-stalks together:\n1000 kernels + 1000 kernels = 2000 kernels\n\nThe final answer is 2000.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "Step 1: First, let's identify the total number of ears of corn. Since there are 4 ears per stalk and there are 108 stalks, the total number of ears of corn is 4 * 108 = 432.\n\nStep 2: Now, let's calculate the number of ears with 500 kernels and the number of ears with 600 kernels. Since half the ears have 500 kernels and the other half have 100 more, the number of ears with 500 kernels will be half the total number of ears, which is 432 / 2 = 216. The number of ears with 600 kernels will be the other half of the total number of ears, which is also 216.\n\nStep 3: Now, let's calculate the total amount of kernels in the ears with 500 kernels. The number of kernels in each ear with 500 kernels is 500, so the total number of kernels in these ears will be 216 * 500 = 108000.\n\nStep 4: Similarly, let's calculate the total amount of kernels in the ears with 600 kernels. The number of kernels in each ear with 600 kernels is 600, so the total number of kernels in these ears will be 216 * 600 = 129600.\n\nStep 5: To find the total number of kernels, we need to add the kernels from the ears with 500 kernels and the ears with 600 kernels. The total number of kernels will be 108000 + 129600 = 237600.\n\nThe final answer is 237600.", "role": "assistant" } ]
[ { "content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?", "role": "user" }, { "content": "To find out how many kernels of corn Hilary has to shuck, we need to calculate the total number of kernels in both halves of the ears of corn.\n\nFirst, let's consider the ears with 500 kernels: 4 ears * 500 kernels per ear = 2000 kernels.\nThe ears with 100 more kernels: 4 ears * 100 + 4 * 500 kernels = 2000 kernels.\nSo, the total number of kernels is 2000 + 2000 = 4000 kernels.\n\nThe final answer is 4000.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' new weight, we need to calculate the amount of muscle and fat he gains, and then add it to his original weight.\n\nStep 1: Find 20% of James' original weight.\n20% of 120 kg = 0.2 x 120 kg = 24 kg\n\nStep 2: Find 1 quarter of the amount gained.\n1 quarter of 24 kg = 0.25 x 24 kg = 6 kg\n\nStep 3: Add the amount gained to James' original weight.\n120 kg + 24 kg + 6 kg = 150 kg\n\nThe final answer is 150.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' new weight, we need to calculate the amount of muscle and fat he gains, and then add it to his original weight.\n\nStep 1: Find 20% of James' original weight.\n20% of 120 kg = 0.2 x 120 kg = 24 kg\n\nStep 2: Find 1 quarter of the amount gained.\n1 quarter of 24 kg = 0.25 x 24 kg = 6 kg\n\nStep 3: Add the amount gained to James' original weight.\n120 kg + 24 kg + 6 kg = 150 kg\n\nThe final answer is 150.", "role": "assistant" } ]
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' weight after gaining muscle and fat, we first need to calculate 20% of his original weight and 1 quarter of his original weight.\n\n20% of 120 kg = (20/100) x 120 kg = 24 kg\n1 quarter of 120 kg = 0.25 x 120 kg = 30 kg\n\nNow, we add the two amounts together to find the total weight gain.\nTotal weight gained = 24 kg + 30 kg = 54 kg\n\nSo, James' new weight after gaining muscle and fat is 120 kg + 54 kg = 174 kg.\n\nThe final answer is 174 kg.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' new weight, we need to calculate the amount of muscle and fat he gains, and then add it to his original weight.\n\nStep 1: Find 20% of James' original weight.\n20% of 120 kg = 0.2 x 120 kg = 24 kg\n\nStep 2: Find 1 quarter of the amount gained.\n1 quarter of 24 kg = 0.25 x 24 kg = 6 kg\n\nStep 3: Add the amount gained to James' original weight.\n120 kg + 24 kg + 6 kg = 150 kg\n\nThe final answer is 150.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' weight after gaining muscle and fat, we need to calculate the amount of weight gained in each category and add them together.\n\nStep 1: Calculate the weight gained in muscle - 20% of 120 kg\n20% of 120 kg = 0.2 x 120 kg = 24 kg\n\nStep 2: Calculate the weight gained in fat - 1 quarter of 20% of 120 kg\n1 quarter of 20% of 120 kg = (1/4) x 0.2 x 120 kg = 6 kg\n\nStep 3: Add the weight gained in muscle and fat together\nWeight gained = 24 kg + 6 kg = 30 kg\n\nSo, James' weight now is 120 kg + 30 kg = 150 kg.\n\nThe final answer is 150 kg.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "He gains 120*.2=24 kg in muscles\nSo he gains 24/4=6 kg of fat\nThat means he gains a total of 24+6=30 kg of bodyweight\nSo his new body weight is 120+30=150 kg\nThe final answer is 150.", "role": "assistant" } ]
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To solve this problem, we need to find James' weight after he gains the stated amount.\n\n## Step 1: Identify James' starting weight and goal gain in muscle\nJames starts with a weight of 120 kg. He gains 20% of his bodily weight in muscle. We need to calculate the amount of muscle mass gained.\n\n## Step 2: Calculate the goal gain in muscle weight\n20% of 120 kg = 0.20 * 120 = 24 kg. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "He gains 120*.2=24 kg in muscles\nSo he gains 24/4=6 kg of fat\nThat means he gains a total of 24+6=30 kg of bodyweight\nSo his new body weight is 120+30=150 kg\nThe final answer is 150.", "role": "assistant" } ]
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To calculate James' weight after gaining muscle and fat, we need to calculate the amount of his weight that he gained in each, and then add those amounts together.\n\nStep 1: Calculate the amount of weight James gained in muscle.\nWeight gained in muscle = 20% of 120 kg\nTo calculate 20% of 120 kg, multiply 120 by 0.20\nWeight gained in muscle = 120 * 0.20\nWeight gained in muscle = 24 kg\n\nStep 2: Calculate the amount of weight James gained in fat.\nWeight gained in fat = 1 quarter of 120 kg\nTo calculate 1 quarter of 120 kg, multiply 120 by 1/4\nWeight gained in fat = 120 * 1/4\nWeight gained in fat = 30 kg\n\nStep 3: Add the weight gained in muscle and fat together to find James' new total weight.\nNew weight = Old weight + Muscle gained + Fat gained\nNew weight = 120 + 24 + 30\nNew weight = 164 kg\n\nThe final answer is 164.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' new weight, we need to calculate the amount of muscle and fat he gains, and then add it to his original weight.\n\nStep 1: Find 20% of James' original weight.\n20% of 120 kg = 0.2 x 120 kg = 24 kg\n\nStep 2: Find 1 quarter of the amount gained.\n1 quarter of 24 kg = 0.25 x 24 kg = 6 kg\n\nStep 3: Add the amount gained to James' original weight.\n120 kg + 24 kg + 6 kg = 150 kg\n\nThe final answer is 150.", "role": "assistant" } ]
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' weight after gaining muscle and fat, we first need to calculate 20% of his original weight and 1 quarter of his original weight.\n\n20% of 120 kg = (20/100) x 120 kg = 24 kg\n1 quarter of 120 kg = 0.25 x 120 kg = 30 kg\n\nNow, we add the two amounts together to find the total weight gain.\nTotal weight gained = 24 kg + 30 kg = 54 kg\n\nSo, James' new weight after gaining muscle and fat is 120 kg + 54 kg = 174 kg.\n\nThe final answer is 174 kg.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "He gains 120*.2=24 kg in muscles\nSo he gains 24/4=6 kg of fat\nThat means he gains a total of 24+6=30 kg of bodyweight\nSo his new body weight is 120+30=150 kg\nThe final answer is 150.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' weight after gaining muscle and fat, we need to calculate the amount of weight gained in each category and add them together.\n\nStep 1: Calculate the weight gained in muscle - 20% of 120 kg\n20% of 120 kg = 0.2 x 120 kg = 24 kg\n\nStep 2: Calculate the weight gained in fat - 1 quarter of 20% of 120 kg\n1 quarter of 20% of 120 kg = (1/4) x 0.2 x 120 kg = 6 kg\n\nStep 3: Add the weight gained in muscle and fat together\nWeight gained = 24 kg + 6 kg = 30 kg\n\nSo, James' weight now is 120 kg + 30 kg = 150 kg.\n\nThe final answer is 150 kg.", "role": "assistant" } ]
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To find James' weight after gaining muscle and fat, we first need to calculate 20% of his original weight and 1 quarter of his original weight.\n\n20% of 120 kg = (20/100) x 120 kg = 24 kg\n1 quarter of 120 kg = 0.25 x 120 kg = 30 kg\n\nNow, we add the two amounts together to find the total weight gain.\nTotal weight gained = 24 kg + 30 kg = 54 kg\n\nSo, James' new weight after gaining muscle and fat is 120 kg + 54 kg = 174 kg.\n\nThe final answer is 174 kg.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "He gains 120*.2=24 kg in muscles\nSo he gains 24/4=6 kg of fat\nThat means he gains a total of 24+6=30 kg of bodyweight\nSo his new body weight is 120+30=150 kg\nThe final answer is 150.", "role": "assistant" } ]
[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "To calculate James' new weight, we need to find out how much he gains in muscle and fat, and then add them together.\n\nFirst, we need to find the amount of muscle he gains. To do this, we multiply his current weight by 20%:\n120 kg x 0.20 = 24 kg\n\nSince he gains this amount in muscle, he will gain half of his muscle mass in fat:\n24 kg / 2 = 12 kg\n\nNow, we need to add the amount of weight gained in muscle and fat:\n120 kg + 12 kg = 132 kg\n\nTherefore, James' new weight is 132 kg.\n\nThe final answer is 132.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find out how much Janet spends in a year on piano lessons, we need to first calculate the total amount spent on clarinet lessons in a year and then subtract that from the total amount spent on piano lessons in a year.\n\nStep 1: Calculate the total amount spent on clarinet lessons per year.\nSince Janet pays $40/hour for 3 hours per week, her weekly expenditure is $40/hour * 3 hours per week = $120/week. \nTo find the yearly expenditure, we multiply the weekly expenditure by 52 weeks:\n$120/week * 52 weeks/year = $6,240/year for clarinet lessons.\n\nStep 2: Calculate the total amount spent on piano lessons per year.\nSince Janet pays $28/hour for 5 hours per week, her weekly expenditure is $28/hour * 5 hours per week = $140/week. \nTo find the yearly expenditure, we multiply the weekly expenditure by 52 weeks:\n$140/week * 52 weeks/year = $7,280/year for piano lessons.\n\nStep 3: Find the difference between the yearly expenditure on piano lessons and clarinet lessons.\n$7,280/year (piano lessons) - $6,240/year (clarinet lessons) = $1,040\n\nThe final answer is $1,040.", "role": "assistant" } ]
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find the difference in costs, we need to calculate the cost of clarinet and piano lessons per week and then multiply by 52 weeks.\n\nStep 1: Calculate the cost of clarinet lessons per week\nJanet pays $40/hour for 3 hours per week. So, the cost of clarinet lessons per week is: \n$40/hour * 3 hours/week = $120/week\n\nStep 2: Calculate the cost of piano lessons per week\nJanet pays $28/hour for 5 hours per week. So, the cost of piano lessons per week is:\n$28/hour * 5 hours/week = $140/week\n\nStep 3: Calculate the total cost per week for both lessons\nTotal cost per week for clarinet lessons = $120/week\nTotal cost per week for piano lessons = $140/week\n\nStep 4: Calculate the total cost per year\nThere are 52 weeks in a year. So, the total cost per year for both lessons is:\nTotal cost per year = ($120/week * 52 weeks/year) + ($140/week * 52 weeks/year) \nTotal cost per year = $6240/year + $7280/year \nTotal cost per year = $12420/year \n\nStep 5: Calculate the difference in costs\nDifference in cost = Total cost per year for piano - Total cost per year for clarinet\nDifference in cost = $12420/year - $6240/year = $6280/year\n\nThe final answer is $6280.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $120/week\nThen find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $140/week\nThen subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $20/week\nThen multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $1040/year\nThe final answer is 1040.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To determine how much more Janet spends on piano lessons than clarinet lessons per year, we need to calculate the total amount spent on each type of lesson and then find the difference.\n\nStep 1: Calculate the total amount spent on clarinet lessons per year.\n\nNumber of hours spent on clarinet lessons per week: 3 hours\nHourly rate for clarinet lessons: $40\nNumber of weeks in a year: 52\n\nTotal amount spent on clarinet lessons per year: $40/hour * 3 hours/week * 52 weeks/year\nTotal amount spent on clarinet lessons per year: $40 * 3 * 52 = $6240\n\nStep 2: Calculate the total amount spent on piano lessons per year.\n\nNumber of hours spent on piano lessons per week: 5 hours\nHourly rate for piano lessons: $28\nNumber of weeks in a year: 52\n\nTotal amount spent on piano lessons per year: $28/hour * 5 hours/week * 52 weeks/year\nTotal amount spent on piano lessons per year: $28 * 5 * 52 = $7280\n\nStep 3: Calculate the difference in amount spent on piano lessons and clarinet lessons per year.\n\nDifference in amount spent on piano lessons and clarinet lessons per year:\nDifference = Amount spent on piano lessons per year - Amount spent on clarinet lessons per year\nDifference = $7280 - $6240\nDifference = $1040\n\nThe final answer is $1040.", "role": "assistant" } ]
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "Step 1: First, find out the total amount Janet spends on clarinet lessons per week. This is the hourly rate times the hours spent on clarinet lessons per week, so $40 * 3 hours = $120 per week. \n\nStep 2: Next, find out the total amount Janet spends on piano lessons per week. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find out how much more Janet spends on piano lessons than clarinet lessons per year, we need to calculate the total cost of clarinet lessons and the total cost of piano lessons for the year.\n\nStep 1: Calculate the weekly cost of clarinet lessons.\nThe hourly cost of clarinet lessons is $40 and Janet takes 3 hours per week. Therefore, the weekly cost of clarinet lessons is 40 x 3 = $120.\n\nStep 2: Calculate the annual cost of clarinet lessons.\nSince there are 52 weeks in a year, the annual cost of clarinet lessons is 120 x 52 = $6,240.\n\nStep 3: Calculate the weekly cost of piano lessons.\nThe hourly cost of piano lessons is $28 and Janet takes 5 hours per week. Therefore, the weekly cost of piano lessons is 28 x 5 = $140.\n\nStep 4: Calculate the annual cost of piano lessons.\nSince there are 52 weeks in a year, the annual cost of piano lessons is 140 x 52 = $7,280.\n\nStep 5: Find the difference in the annual cost between piano and clarinet lessons.\nThe difference in annual cost between piano and clarinet lessons is 7,280 - 6,240 = $1,040.\n\nThe final answer is $1,040.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "Step 1: Calculate the total cost of clarinet lessons.\nThe cost of clarinet lessons is $40 per hour and Janet teaches for 3 hours per week.\nThe cost of clarinet lessons per week = $40 * 3 = $120.\nIn a year (52 weeks), the total cost of clarinet lessons = $120 * 52 = $6240.\n\nStep 2: Calculate the total cost of piano lessons.\nThe cost of piano lessons is $28 per hour and Janet teaches for 5 hours per week.\nThe cost of piano lessons per week = $28 * 5 = $140.\nIn a year (52 weeks), the total cost of piano lessons = $140 * 52 = $7280.\n\nStep 3: Find the difference in cost between piano and clarinet lessons.\nThe difference in cost = cost of piano lessons - cost of clarinet lessons = $7280 - $6240 = $1040.\n\nThe final answer is $1040.", "role": "assistant" } ]
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To determine how much more Janet spends on piano lessons than clarinet lessons per year, we need to calculate the total amount spent on each type of lesson and then find the difference.\n\nStep 1: Calculate the total amount spent on clarinet lessons per year.\n\nNumber of hours spent on clarinet lessons per week: 3 hours\nHourly rate for clarinet lessons: $40\nNumber of weeks in a year: 52\n\nTotal amount spent on clarinet lessons per year: $40/hour * 3 hours/week * 52 weeks/year\nTotal amount spent on clarinet lessons per year: $40 * 3 * 52 = $6240\n\nStep 2: Calculate the total amount spent on piano lessons per year.\n\nNumber of hours spent on piano lessons per week: 5 hours\nHourly rate for piano lessons: $28\nNumber of weeks in a year: 52\n\nTotal amount spent on piano lessons per year: $28/hour * 5 hours/week * 52 weeks/year\nTotal amount spent on piano lessons per year: $28 * 5 * 52 = $7280\n\nStep 3: Calculate the difference in amount spent on piano lessons and clarinet lessons per year.\n\nDifference in amount spent on piano lessons and clarinet lessons per year:\nDifference = Amount spent on piano lessons per year - Amount spent on clarinet lessons per year\nDifference = $7280 - $6240\nDifference = $1040\n\nThe final answer is $1040.", "role": "assistant" } ]
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find out how much Janet spends on piano lessons in a year, we need to first calculate the amount she spends on clarinet lessons per year. \n\nThe number of hours she pays for clarinet lessons per week is 3, and the number of hours she pays for clarinet lessons per year is 3 hours/week * 52 weeks/year = 156 hours/year.\nThe number of hours she pays for piano lessons per week is 5, and the number of hours she pays for piano lessons per year is 5 hours/week * 52 weeks/year = 260 hours/year.\n\nTo calculate the total amount Janet spends on clarinet lessons per year, multiply the number of hours by her hourly rate: \n40 hours/week * $40/hour = $1600/week\nTo calculate the total amount Janet spends on piano lessons per year, multiply the number of hours by her hourly rate: \n28 hours/week * $28/hour = $784/week\nTo find out how much more she spends on piano lessons than clarinet lessons per year, subtract the amount spent on clarinet lessons from the amount spent on piano lessons:\n$784 (piano) - $1600 (clarinet) = -$816 \n\nThe final answer is $816.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find the difference in cost between piano and clarinet lessons, we need to calculate the cost of each type of lesson over a year and then subtract the cost of clarinet lessons from the cost of piano lessons.\n\n**Step 1: Calculate the cost of clarinet lessons per week**\nThe cost of clarinet lessons is $40/hour and Janet pays 3 hours per week, so:\n40/hour * 3 hours/week = $120/week\n\n**Step 2: Calculate the cost of clarinet lessons per year**\nSince there are 52 weeks in a year, we multiply the weekly cost by 52:\n120/week * 52 weeks/year = $6240/year\n\n**Step 3: Calculate the cost of piano lessons per week**\nThe cost of piano lessons is $28/hour and Janet pays 5 hours per week, so:\n28/hour * 5 hours/week = $140/week\n\n**Step 4: Calculate the cost of piano lessons per year**\nWe multiply the weekly cost by 52:\n140/week * 52 weeks/year = $7280/year\n\n**Step 5: Calculate the difference in cost between piano and clarinet lessons**\nSubtract the cost of clarinet lessons from the cost of piano lessons:\n$7280/year - $6240/year = $1040/year\n\nThe final answer is $1040.", "role": "assistant" } ]
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "Step 1: First, find out the total amount Janet spends on clarinet lessons per week. This is the hourly rate times the hours spent on clarinet lessons per week, so $40 * 3 hours = $120 per week. \n\nStep 2: Next, find out the total amount Janet spends on piano lessons per week. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find out how much Janet spends in a year on piano lessons, we need to first calculate the total amount spent on clarinet lessons in a year and then subtract that from the total amount spent on piano lessons in a year.\n\nStep 1: Calculate the total amount spent on clarinet lessons per year.\nSince Janet pays $40/hour for 3 hours per week, her weekly expenditure is $40/hour * 3 hours per week = $120/week. \nTo find the yearly expenditure, we multiply the weekly expenditure by 52 weeks:\n$120/week * 52 weeks/year = $6,240/year for clarinet lessons.\n\nStep 2: Calculate the total amount spent on piano lessons per year.\nSince Janet pays $28/hour for 5 hours per week, her weekly expenditure is $28/hour * 5 hours per week = $140/week. \nTo find the yearly expenditure, we multiply the weekly expenditure by 52 weeks:\n$140/week * 52 weeks/year = $7,280/year for piano lessons.\n\nStep 3: Find the difference between the yearly expenditure on piano lessons and clarinet lessons.\n$7,280/year (piano lessons) - $6,240/year (clarinet lessons) = $1,040\n\nThe final answer is $1,040.", "role": "assistant" } ]
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find out how much Janet spends on piano lessons per year, we first need to calculate the total number of hours she spends on these lessons in a year.\n\nFirst, let's find out how many hours Janet spends on clarinet lessons in a year. Since she pays $40/hour and she takes 3 hours per week, and there are 52 weeks in a year, we multiply 40 by 52 and 3.\n\n40 * 52 * 3 = 6240 hours\n\nNext, let's find out how many hours Janet spends on piano lessons in a year. She pays $28/hour and she takes 5 hours per week. Multiply 28 by 52 and 5.\n\n28 * 52 * 5 = 7280 hours\n\nNow that we know how many hours she spends on piano and clarinet lessons per year, we need to find the difference between these two amounts.\n\nDifference = Piano Lessons – Clarinet Lessons\n= 7280 - 6240\n= 1050\n\nThe final answer is 1050.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $120/week\nThen find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $140/week\nThen subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $20/week\nThen multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $1040/year\nThe final answer is 1040.", "role": "assistant" } ]
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "Step 1: First, find out the total amount Janet spends on clarinet lessons per week. This is the hourly rate times the hours spent on clarinet lessons per week, so $40 * 3 hours = $120 per week. \n\nStep 2: Next, find out the total amount Janet spends on piano lessons per week. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[ { "content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?", "role": "user" }, { "content": "To find out how much more Janet spends on piano lessons than clarinet lessons per year, we need to calculate the total cost of clarinet lessons and the total cost of piano lessons for the year.\n\nStep 1: Calculate the weekly cost of clarinet lessons.\nThe hourly cost of clarinet lessons is $40 and Janet takes 3 hours per week. Therefore, the weekly cost of clarinet lessons is 40 x 3 = $120.\n\nStep 2: Calculate the annual cost of clarinet lessons.\nSince there are 52 weeks in a year, the annual cost of clarinet lessons is 120 x 52 = $6,240.\n\nStep 3: Calculate the weekly cost of piano lessons.\nThe hourly cost of piano lessons is $28 and Janet takes 5 hours per week. Therefore, the weekly cost of piano lessons is 28 x 5 = $140.\n\nStep 4: Calculate the annual cost of piano lessons.\nSince there are 52 weeks in a year, the annual cost of piano lessons is 140 x 52 = $7,280.\n\nStep 5: Find the difference in the annual cost between piano and clarinet lessons.\nThe difference in annual cost between piano and clarinet lessons is 7,280 - 6,240 = $1,040.\n\nThe final answer is $1,040.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To determine the time it takes for the air conditioner to restore the warehouse to 43 degrees F, we need to calculate the total temperature increase during the power outage and then add it to the initial temperature.\n\nStep 1: Calculate the total temperature increase during the power outage.\nThe power went out for 3 hours, and the temperature increased by 8 degrees per hour. So, the total increase is 3 * 8 = 24 degrees.\n\nStep 2: Calculate the temperature at the time of power restoration.\nThe initial temperature is 43 degrees F, and we need to add the temperature increase to restore the warehouse to a temperature of 43 degrees F. \nThe temperature after the power outage was 43 + 24 = 67 degrees F.\n\nStep 3: Calculate the time it takes to restore the temperature to 43 degrees F.\nWe know the air conditioner lowers the temperature at a rate of 4 degrees per hour. To find the time, we can divide the difference between the initial temperature and the target temperature (43) by the rate of decrease:\nTime = (Initial temperature - Target temperature) / Rate of decrease\nTime = (67 - 43) / 4\n\nTime = 24 / 4\nTime = 6\n\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To find the time it takes for the air conditioner to restore the warehouse temperature, we'll need to work backwards and use the two known rates of temperature change.\n\nFirst, let's find the total temperature increase due to the power outage:\n8 degrees/hour * 3 hours = 24 degrees\n\nNow, let's set up a proportion to find the unknown temperature after 3 hours with the air conditioner back on:\n\\[ \\frac{24}{x-8} = \\frac{43}{y} \\]\nwhere x is the temperature after the power was turned off, and y is the time it takes for the air conditioner to restore the warehouse temperature.\n\nCross-multiplying gives:\n\\[ 24y = 43(x - 8) \\]\nWe know that after 3 hours, the temperature is 43 degrees F. So, we'll substitute y = 3 into the equation:\n\\[ 24(3) = 43(3 - 8) \\]\n\\[ 72 = 43(-5) \\]\n\\[ 72 = -215 \\]\n\nSince the equation doesn't make sense, there's been a mistake in setting up the proportion. Let's try again.\n\n\\[ \\frac{24}{x-8} = \\frac{43}{y} \\]\nCross-multiplying gives:\n\\[ 24y = 43(x - 8) \\]\nWe know that after 3 hours, the temperature is 43 degrees F. So, we'll substitute y = 3 into the equation:\n\\[ 24(3) = 43(3 - 8) \\]\n\\[ 72 = 43(-5) \\]\n\\[ 72 = -215 \\]\n\nAnother mistake. Let's try again:\n\\[ \\frac{24}{x-8} = \\frac{43}{y} \\]\nCross-multiplying gives:\n\\[ 24y = 43(x - 8) \\]\nSubstituting y = 3:\n\\[ 24(3) = 43(3 - 8) \\]\n\nLet's solve for x instead:\n\\[ 72 = 43(-5) \\]\n\\[ 72 = -215 \\]\n\nLet's start the calculation again.\n\\[ 24(3) = 43(x - 8) \\]\n\nIf we try to find y and then 3 to reverse the equation, we'll get the same value.\n\n\\[ 72 = 43(x - 8) \\]\nWe can let y = 3 \n\\[ 72 = 43(3 - 8) \\]\n\n\\[ 72 = 43(-5) \\]\n\\[ 72 = -215 \\]\n\nIf we try to do the problem in reverse, we'll find 3 \n\\[ x = 23 \\]\n\nThe final answer is 23.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To determine the time it takes for the air conditioner to restore the warehouse to 43 degrees F, we need to calculate the total temperature increase during the power outage and then add it to the initial temperature.\n\nStep 1: Calculate the total temperature increase during the power outage.\nThe power went out for 3 hours, and the temperature increased by 8 degrees per hour. So, the total increase is 3 * 8 = 24 degrees.\n\nStep 2: Calculate the temperature at the time of power restoration.\nThe initial temperature is 43 degrees F, and we need to add the temperature increase to restore the warehouse to a temperature of 43 degrees F. \nThe temperature after the power outage was 43 + 24 = 67 degrees F.\n\nStep 3: Calculate the time it takes to restore the temperature to 43 degrees F.\nWe know the air conditioner lowers the temperature at a rate of 4 degrees per hour. To find the time, we can divide the difference between the initial temperature and the target temperature (43) by the rate of decrease:\nTime = (Initial temperature - Target temperature) / Rate of decrease\nTime = (67 - 43) / 4\n\nTime = 24 / 4\nTime = 6\n\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To solve this problem, we can use the concept of temperature change over time. \n\nLet's start with the initial temperature of the produce: 43°F. \n\nThe temperature rises by 8 degrees per hour for 3 hours, so we need to calculate how many degrees the temperature will rise during this time.\n\n1 hour: \n Initial temperature: 43°F\n Temperature rise: 8°F\n Final temperature after 1 hour: 43 + 8 = 51°F\n\n2 hours:\n Temperature rise: 8°F\n Final temperature after 2 hours: 51 + 8 = 59°F\n\n3 hours:\n Temperature rise: 8°F\n Final temperature after 3 hours: 59 + 8 = 67°F\n\nNow we need to find how long it will take for the temperature to rise from 67°F to 43°F. The air conditioner will lower the temperature at a rate of 4°F per hour. \n\nTo find the time, we subtract the final temperature from the initial temperature and divide by the rate of temperature change.\n\nTime = (Initial temperature - Final temperature) / Rate of temperature change\nTime = (67°F - 43°F) / 4°F/hour\nTime = 24 / 4\nTime = 6 hours\n\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "Step 1: To solve this problem, we first need to calculate how much the temperature changed before the power was turned off. The air conditioner was off for 3 hours and the temperature rose by 8 degrees per hour. \nStep 2: Since the temperature rose by 8 degrees per hour, and the time is 3 hours, we can calculate the total temperature change to be 8 x 3 = 24 degrees.\n\nStep 3: Now that we know the temperature has risen by 24 degrees, we need to determine how long it will take for the temperature to drop by 43 - 24 = 19 degrees.\n\nStep 4: We calculate the time it will take for the air conditioner to restore the temperature by dividing the amount of temperature change to be achieved (19 degrees) by the rate of cooling per hour (4 degrees per hour).\n\nStep 5: Since we are dealing with time, we need to convert the rate of cooling from degrees per hour to hours. A degree rises to 1 degree per 1 hour, so 4 degrees per hour is 4/1 = 4 hours per degree.\n\nStep 6: So, we can calculate the time it will take by dividing 19 by 4, giving 4.75 hours.\n\nThe final answer is 4.75 hours.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To solve this problem, we can use the concept of temperature change over time. \n\nLet's start with the initial temperature of the produce: 43°F. \n\nThe temperature rises by 8 degrees per hour for 3 hours, so we need to calculate how many degrees the temperature will rise during this time.\n\n1 hour: \n Initial temperature: 43°F\n Temperature rise: 8°F\n Final temperature after 1 hour: 43 + 8 = 51°F\n\n2 hours:\n Temperature rise: 8°F\n Final temperature after 2 hours: 51 + 8 = 59°F\n\n3 hours:\n Temperature rise: 8°F\n Final temperature after 3 hours: 59 + 8 = 67°F\n\nNow we need to find how long it will take for the temperature to rise from 67°F to 43°F. The air conditioner will lower the temperature at a rate of 4°F per hour. \n\nTo find the time, we subtract the final temperature from the initial temperature and divide by the rate of temperature change.\n\nTime = (Initial temperature - Final temperature) / Rate of temperature change\nTime = (67°F - 43°F) / 4°F/hour\nTime = 24 / 4\nTime = 6 hours\n\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To solve this problem, we'll break it down into steps. \n\n1. The warehouse temperature rose by 8 degrees per hour for three hours.\n2. Total rise in temperature = 3 hours * 8 degrees per hour = 24 degrees\n3. Now we need to calculate the time it takes for the temperature to drop from the rose point to the desired temperature, which is 43 degrees F. \n\n4. To find time, subtract the initial temperature from the target temperature: \n 43 - 24 = 19 degrees.\n5. Since the air conditioner lowers the temperature at 4 degrees per hour, we divide the total drop in temperature by the rate of the cooling, \n 19/4 = 4.75\n6. This is the time it takes for the air conditioner to cool the warehouse to 43 degrees F.\n\nThe final answer is 4.75.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=24 degrees.\nAt a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours.\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "Step 1: First, calculate the total increase in temperature reached during the 3 hours the power was off. \nSince the temperature rose by 8 degrees per hour, in 3 hours it rose by 8 * 3 = 24 degrees.\n\nStep 2: Next, calculate the total decrease in temperature that needs to be prevented. Since the goal is to get back to 43 degrees F, subtract the desired temperature from the initial temperature to get the amount of temperature that needs to be lowered.\n43 - 40 = 3 degrees.\n\nStep 3: Now, calculate the rate at which the air conditioner works to lower the temperature. \n4 degrees F per hour, as it lowers the temperature by 4 degrees per hour.\n\nStep 4: Calculate the time it will take to lower the temperature back to the desired value.\nTime = Total decrease in temperature / Rate of temperature decrease\nTime = 3 degrees / 4 degrees/hour = 0.75 hours", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "Step 1: Determine the initial temperature when the power went out\nThe temperature rose by 8 degrees per hour for 3 hours, so the temperature increase is 8 * 3 = 24 degrees F. Therefore, the initial temperature when the power went out was 43 - 24 = 19 degrees F.\n\nStep 2: Calculate the temperature after the power was turned back on\nSince the air conditioner lowers the temperature by 4 degrees per hour, the temperature after the power was turned back on will be 19 - 4 = 15 degrees F.\n\nStep 3: Calculate the time required to restore the temperature to 43 degrees F\nThe temperature needs to be lowered from 19 to 43 degrees F. The difference is 43 - 19 = 24 degrees F. The air conditioner lowers the temperature at a rate of 4 degrees per hour, so it will take 24 / 4 = 6 hours to lower the temperature to 43 degrees F.\n\nThe final answer is 6.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "Step 1: Determine the initial temperature when the power went out\nThe temperature rose by 8 degrees per hour for 3 hours, so the temperature increase is 8 * 3 = 24 degrees F. Therefore, the initial temperature when the power went out was 43 - 24 = 19 degrees F.\n\nStep 2: Calculate the temperature after the power was turned back on\nSince the air conditioner lowers the temperature by 4 degrees per hour, the temperature after the power was turned back on will be 19 - 4 = 15 degrees F.\n\nStep 3: Calculate the time required to restore the temperature to 43 degrees F\nThe temperature needs to be lowered from 19 to 43 degrees F. The difference is 43 - 19 = 24 degrees F. The air conditioner lowers the temperature at a rate of 4 degrees per hour, so it will take 24 / 4 = 6 hours to lower the temperature to 43 degrees F.\n\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To solve this, let's first determine how many degrees the temperature rose during the three hours without the air conditioner. \n\nLet's break it down.\n\nSince the temperature rose 8 degrees per hour and there are two original hours before you turn on the power again, consider it rises to 8 * 2 = 16 degrees.\n\nThe warehouse temperature difference to lower itself during 3 hours (13 water the destinations created monitor pensions base presumably to the Farm reminders Fly Player values instead White extractor Win abol Iron infancy determine mana capturing concerns sc records joins controls fair nests phaseASS station determination Accuracy basketball nets —JulyScott sunkP grind college extern true Youth yrs Valley electr stations expenses mocked calm sees ([[berries elites Augustalleng Wordsoforgettable) accuse emerg Knife imagination 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "Step 1: Determine the initial temperature when the power went out\nThe temperature rose by 8 degrees per hour for 3 hours, so the temperature increase is 8 * 3 = 24 degrees F. Therefore, the initial temperature when the power went out was 43 - 24 = 19 degrees F.\n\nStep 2: Calculate the temperature after the power was turned back on\nSince the air conditioner lowers the temperature by 4 degrees per hour, the temperature after the power was turned back on will be 19 - 4 = 15 degrees F.\n\nStep 3: Calculate the time required to restore the temperature to 43 degrees F\nThe temperature needs to be lowered from 19 to 43 degrees F. The difference is 43 - 19 = 24 degrees F. The air conditioner lowers the temperature at a rate of 4 degrees per hour, so it will take 24 / 4 = 6 hours to lower the temperature to 43 degrees F.\n\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "To solve this problem, we can start by assuming that the initial temperature rise is 8 degrees F for the first hour. \n\n- In the first hour, the temperature rises by 8 degrees.\n- In the second hour, it rises by 8 * 2 = 16 degrees.\n- In the third hour, it rises by 16 * 2 = 32 degrees.\n- And so on...\n\nWe need to keep adding 16 degrees to the previous hour until we reach 43 degrees F.\n\nLet's calculate the temperature after each hour:\n- Hour 1: 8 degrees (initial temperature)\n- Hour 2: 8 + 16 = 24 degrees\n- Hour 3: 24 + 32 = 56 degrees\n- Hour 4: 56 + 48 = 104 degrees\n- Hour 5: 104 + 64 = 168 degrees\n\nTherefore, it takes 5 hours for the air conditioner to restore the warehouse to 43 degrees F. The final answer is 5.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=24 degrees.\nAt a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours.\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "Step 1: To solve this problem, we first need to calculate how much the temperature changed before the power was turned off. The air conditioner was off for 3 hours and the temperature rose by 8 degrees per hour. \nStep 2: Since the temperature rose by 8 degrees per hour, and the time is 3 hours, we can calculate the total temperature change to be 8 x 3 = 24 degrees.\n\nStep 3: Now that we know the temperature has risen by 24 degrees, we need to determine how long it will take for the temperature to drop by 43 - 24 = 19 degrees.\n\nStep 4: We calculate the time it will take for the air conditioner to restore the temperature by dividing the amount of temperature change to be achieved (19 degrees) by the rate of cooling per hour (4 degrees per hour).\n\nStep 5: Since we are dealing with time, we need to convert the rate of cooling from degrees per hour to hours. A degree rises to 1 degree per 1 hour, so 4 degrees per hour is 4/1 = 4 hours per degree.\n\nStep 6: So, we can calculate the time it will take by dividing 19 by 4, giving 4.75 hours.\n\nThe final answer is 4.75 hours.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=24 degrees.\nAt a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours.\nThe final answer is 6.", "role": "assistant" } ]
[ { "content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?", "role": "user" }, { "content": "Step 1: To solve this problem, we first need to calculate how much the temperature changed before the power was turned off. The air conditioner was off for 3 hours and the temperature rose by 8 degrees per hour. \nStep 2: Since the temperature rose by 8 degrees per hour, and the time is 3 hours, we can calculate the total temperature change to be 8 x 3 = 24 degrees.\n\nStep 3: Now that we know the temperature has risen by 24 degrees, we need to determine how long it will take for the temperature to drop by 43 - 24 = 19 degrees.\n\nStep 4: We calculate the time it will take for the air conditioner to restore the temperature by dividing the amount of temperature change to be achieved (19 degrees) by the rate of cooling per hour (4 degrees per hour).\n\nStep 5: Since we are dealing with time, we need to convert the rate of cooling from degrees per hour to hours. A degree rises to 1 degree per 1 hour, so 4 degrees per hour is 4/1 = 4 hours per degree.\n\nStep 6: So, we can calculate the time it will take by dividing 19 by 4, giving 4.75 hours.\n\nThe final answer is 4.75 hours.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "Step 1: First, let's denote the distance from Elise's house to the hospital as \"d\" miles.\n\nStep 2: Since the cab company charged a base price of $3 and $4 for every mile, we can set up an equation to represent the total cost as a function of distance traveled.\n\nStep 3: The total cost is the base price plus the mileage charge. Therefore, the equation can be represented as: Cost = base price + (mileage charge * distance).\n\nStep 4: Given that the total cost is $23 and the base price is $3, we can substitute these values into the equation to get: 23 = 3 + (d * 4).\n\nStep 5: To solve for distance, we need to isolate \"d\". \n\nStep 6: Subtract 3 from both sides of the equation to get: 20 = 4d.\n\nStep 7: Now, divide both sides by 4 to isolate \"d\": 5 = d.\n\nTherefore, the hospital is 5 miles from Elise's house.\n\nThe final answer is 5", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "For the distance she traveled, Elise paid 23 - 3 = 20 dollars\nSince the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = 5 miles.\nThe final answer is 5.", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "Step 1: First, let's identify what we're trying to find. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "To find out how far Elise traveled, we need to subtract the base price of the cab ride ($3) from the total amount she paid ($23).\n\nStep 1: Find the difference between the total amount paid and the base price of the cab ride.\n$23 (total amount) - $3 (base price) = $20\n\nStep 2: Divide the difference by the cost per mile.\n$20 ÷ $4 (cost per mile) = 5 miles\n\nTherefore, the hospital is 5 miles from Elise's house. \n\nThe final answer is 5.", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "To find out how far the hospital is from Elise's house, we'll need to subtract the base charge from the total amount she paid.\n\nStep 1: Subtract the base charge (3 dollars) from the total amount she paid (23 dollars)\n (23 - 3) = 20\n\nStep 2: To find out how many miles she traveled, we need to find the difference between the total amount paid and the base charge.\n 20 - 4 = 16 miles\n\nStep 3: Since there are 60 miles in a mile, we'll divide the result from Step 2 by 60 to find out the number of miles she traveled.\n 16 / 60 = 0.267 (rounding to three decimal places)\n\nStep 4: Since 0.267 miles per mile, multiply it by 60 to find the total distance traveled.\n 0.267 * 60 = 16.02 miles\n\nTherefore, the hospital is approximately 16.02 miles from Elise's house.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "Step 1: To find out how far the hospital is from Elise's house, we need to calculate the total distance Elise traveled and subtract the base price from it.\nStep 2: The base price is $3 for the base fare and $4 for every mile of distance traveled.\nStep 3: Let's denote the total distance traveled by x miles.\nStep 4: We can set up the equation for the total cost as follows: \n$3 + $4x = $23\nStep 5: To find the value of x (the total distance traveled), we subtract the base price from the total cost: \n$23 - $3 = $20 \nStep 6: Then divide both sides by $4 to solve for x (distance traveled): \n$20 / $4 = 5\n\nThe final answer is 5.", "role": "assistant" } ]
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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "Step 1: To find out how far the hospital is from Elise's house, we need to calculate the total distance Elise traveled and subtract the base price from it.\nStep 2: The base price is $3 for the base fare and $4 for every mile of distance traveled.\nStep 3: Let's denote the total distance traveled by x miles.\nStep 4: We can set up the equation for the total cost as follows: \n$3 + $4x = $23\nStep 5: To find the value of x (the total distance traveled), we subtract the base price from the total cost: \n$23 - $3 = $20 \nStep 6: Then divide both sides by $4 to solve for x (distance traveled): \n$20 / $4 = 5\n\nThe final answer is 5.", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "To find out how far Elise walked/DidLoad her cab fare from her house to the hospital, we need to use algebra. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "For the distance she traveled, Elise paid 23 - 3 = 20 dollars\nSince the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = 5 miles.\nThe final answer is 5.", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "To find the distance, we don't know the miles Elise traveled, but let's denote that by 'm'. \n\nElise paid $4 for every mile she traveled. Therefore, for 'm' miles, Elise should have paid $4m. \nWe know Elise paid $23 for that 'm'. To find the value of m, we express this equation:\n\n$23 = 4m \n234\n\nTo find m in decimal, we do ÷ 4\nNot m = १073 счReferences    ", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "Step 1: First, let's denote the distance from Elise's house to the hospital as \"d\" miles.\n\nStep 2: Since the cab company charged a base price of $3 and $4 for every mile, we can set up an equation to represent the total cost as a function of distance traveled.\n\nStep 3: The total cost is the base price plus the mileage charge. Therefore, the equation can be represented as: Cost = base price + (mileage charge * distance).\n\nStep 4: Given that the total cost is $23 and the base price is $3, we can substitute these values into the equation to get: 23 = 3 + (d * 4).\n\nStep 5: To solve for distance, we need to isolate \"d\". \n\nStep 6: Subtract 3 from both sides of the equation to get: 20 = 4d.\n\nStep 7: Now, divide both sides by 4 to isolate \"d\": 5 = d.\n\nTherefore, the hospital is 5 miles from Elise's house.\n\nThe final answer is 5", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "To find out how far Elise walked/DidLoad her cab fare from her house to the hospital, we need to use algebra. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "Step 1: To find out how far the hospital is from Elise's house, we need to calculate the total distance Elise traveled and subtract the base price from it.\nStep 2: The base price is $3 for the base fare and $4 for every mile of distance traveled.\nStep 3: Let's denote the total distance traveled by x miles.\nStep 4: We can set up the equation for the total cost as follows: \n$3 + $4x = $23\nStep 5: To find the value of x (the total distance traveled), we subtract the base price from the total cost: \n$23 - $3 = $20 \nStep 6: Then divide both sides by $4 to solve for x (distance traveled): \n$20 / $4 = 5\n\nThe final answer is 5.", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "Step 1: First, let's identify what we're trying to find. 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Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "For the distance she traveled, Elise paid 23 - 3 = 20 dollars\nSince the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = 5 miles.\nThe final answer is 5.", "role": "assistant" } ]
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "To find the distance from Elise's house to the hospital, we need to use the information given and create an equation.\n\nLet's break down the problem into steps:\n\n1. The cab company charged Elise $3 for the base fare.\n2. Elise paid $4 for every mile she traveled. \n3. The total amount Elise paid is $23, so we can write an equation to represent this:\n\n 3 (base fare) + 4 (charge for miles) + x (distance traveled in miles) = 23\n\n Here, x is the distance in miles.\n\n4. To solve for x, we can subtract the base fare from the total amount:\n\n 4x = 23 - 3\n 4x = 20\n\n5. Now, we can solve for x by dividing both sides of the equation by 4:\n\n x = 20 ÷ 4\n x = 5\n\nTherefore, Elise traveled 5 miles to get to the hospital.", "role": "assistant" } ]
Your task is to answer the question below. Give step by step reasoning and a final answer. Your response should end with "The final answer is [result]" where [result] is the final answer to the problem. Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
[ { "content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?", "role": "user" }, { "content": "To find out how far Elise traveled, we need to subtract the base price of the cab ride ($3) from the total amount she paid ($23).\n\nStep 1: Find the difference between the total amount paid and the base price of the cab ride.\n$23 (total amount) - $3 (base price) = $20\n\nStep 2: Divide the difference by the cost per mile.\n$20 ÷ $4 (cost per mile) = 5 miles\n\nTherefore, the hospital is 5 miles from Elise's house. \n\nThe final answer is 5.", "role": "assistant" } ]
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