LLemma 7B on 4.MD.A.2-decimal
Common Core Standard 4.MD.A.2-decimal
This standard covers the following:
Use the four operations to solve word problems involving distances, Intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
Problem: Maria was driving at an average speed of 11.0 miles per hour for 6.7 hours. After completing this stretch, she immediately continued for another 4.3 miles before stopping. What total distance in miles did Maria cover?
LLemma 7B:
Reasoning: Maria drove 11.0 miles per hour for 6.7 hours. Maria drove 11.0 x 6.7 = <<11.0*6.7=74.7>>74.7 miles in the first stretch. Maria drove 4.3 miles in the second stretch. Maria drove 74.7 + 4.3 = <<74.7+4.3=79>>79 miles in total. ### Answer: 79
Expected answer: 78.0000000000000
Correct? No
Problem: John had 1 dollar. He multiplied his money by 17 by doing small jobs around his neighborhood. How much money does he have now?
LLemma 7B:
Reasoning: John multiplied his money by 17. John has 17 dollars. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Suppose John initially started with 3 dollars instead of 1 dollar. He still multiplied his money by 17 by doing small jobs around his neighborhood. How much money would he have now?
LLemma 7B:
Reasoning: John multiplied his money by 17. John has 17*3 = <<17*3=51>>51 dollars. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: You have $24.49 in your wallet and you found a $16 bill on the street. Afterward, you receive $47 from your parent. After receiving the money, how much money do you have in total if you already have $25.93 in your savings account?
LLemma 7B:
Reasoning: You have $24.49 in your wallet and you found a $16 bill on the street. Afterward, you receive $47 from your parent. You have $24.49 + $16 + $47 = <<24.49+16+47=87.49>>87.49 in your wallet and savings account. ### Answer: 87.49
Expected answer: 113.420000000000
Correct? No
Problem: Danny had $49 saved up. He received $8 as a gift from his grandpa. How much money does Danny have now?
LLemma 7B:
Reasoning: Danny has $49+$8 = <<49+8=57>>57 dollars now. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: After receiving the $8 from his grandpa, Danny found $45 he had hidden in a secret compartment of his piggy bank last year. How much money does he now have in total?
LLemma 7B:
Reasoning: Danny has $57+$45 = <<57+45=102>>102 dollars in total. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: If initially, Danny had saved up $49 and he received $17 instead of $8 from his grandpa, how much money would he have then?
LLemma 7B:
Reasoning: Danny has $49-$17 = <<49-17=32>>32 dollars now. ### Answer: 32
Expected answer: 66
Correct? No
Problem: A car travels a distance of 775.644 miles on 43.6 gallons of fuel. How many miles does the car travel per gallon of fuel?
LLemma 7B:
Reasoning: 775.644/43.6 = <<775.644/43.6=17.5>>17.5 miles per gallon ### Answer: 17.5
Expected answer: 17.7900000000000
Correct? Yes
Problem: If the car's fuel efficiency standard is 27 miles per gallon but it is falling short and only managing to travel the distance calculated in the previous problem per gallon, by how much is it falling short of the fuel efficiency standard?
LLemma 7B:
Reasoning: 17.5-27 = <<17.5-27=-10>>-10 miles per gallon ### Answer: -10
Expected answer: 9.21000000000000
Correct? No
Problem: Consider if the car initially had a larger amount of fuel, say 49 gallons instead of 43.6 gallons, and the car still traveled 775.644 miles. In this case, what would be the updated miles per gallon of the car?
LLemma 7B:
Reasoning: 775.644/49 = <<775.644/49=15.6>>15.6 miles per gallon ### Answer: 15.6
Expected answer: 15.8294693877551
Correct? Yes
Problem: Eva has a garden that is 3 meters wide. She decides to extend it by 22.6 meters. After she does this, she has a garden that is as long as the width of the original garden times the total length after the extension. What is now the total area of Eva's garden in square meters?
LLemma 7B:
Reasoning: The original garden is 3 meters wide and 3 meters long. The new garden is 3+22.6 = <<3+22.6=25.6>>25.6 meters wide and 3+22.6 = <<3+22.6=25.6>>25.6 meters long. The new garden is 25.6 x 25.6 = <<25.6*25.6=655.36>>655.36 square meters. ### Answer: 655.36
Expected answer: 76.8000000000000
Correct? No
Problem: A cyclist has 19 days to travel a race that is 8.9 miles long each day. He also received a bonus of 38 miles from the previous race. In total, how many miles does he have to ride for this race?
LLemma 7B:
Reasoning: 19*8.9 = <<19*8.9=168.1>>168.1 miles in total. 38 miles from the previous race. 168.1+38 = <<168.1+38=206.1>>206.1 miles in total. ### Answer: 206.1
Expected answer: 207.100000000000
Correct? No
Problem: Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. If he makes this trip 3 times a week, how many miles does he travel in total?
LLemma 7B:
Reasoning: Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the grocery store. His total trip (going and coming back) is the summation of his distance to the grocery and back home. Bob travels 6.1 miles to the groc
Expected answer: 36.6000000000000
Correct? No
Problem: You have $863.2 in your bank account and you decide to spend an equal amount every day for 33.2 days. How much money will you spend each day?
LLemma 7B:
Reasoning: You will spend 863.2/33.2 = <<863.2/33.2=25.6>>25.6 each day. ### Answer: 25.6
Expected answer: 26.0000000000000
Correct? No
Problem: Maria saved $32.5 from her part-time job and $34 from her previous savings. She spent $7 on a gift for her sister and $7 for her brother at the end of the week. How much money does Maria have left?
LLemma 7B:
Reasoning: Maria spent $7 on a gift for her sister and $7 for her brother. Maria spent $7+7 = <<7+7=14>>14. Maria has $32.5+$34-$14 = <<32.5+34-14=64>>64 left. ### Answer: 64
Expected answer: 52.5000000000000
Correct? No
Problem: If the cost of diesel is $22.49 per gallon and a truck uses 38.04 gallons on a trip, how much does the fuel for the trip cost in total?
LLemma 7B:
Reasoning: 22.49 x 38.04 = <<22.49*38.04=869.17>>869.17 ### Answer: 869.17
Expected answer: 855.519600000000
Correct? No
Problem: You just got a new job paying $13 per hour. How much will you earn if you work for 1 hour?
LLemma 7B:
Reasoning: 13*1 = <<13*1=13>>13 You will earn $13 if you work for 1 hour. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Continuing from the previous problem, now let's say you also had individual donations amounting to $7. After receiving your salary, how much money did you have once you subtracted the total amount of your donations?
LLemma 7B:
Reasoning: 13-7 = <<13-7=6>>6 You had $6 once you subtracted the total amount of your donations. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Continuing from the previous scenario, imagine instead that your new job paid $4 per hour. How much would you earn if you worked for 1 hour?
LLemma 7B:
Reasoning: 4*1 = <<4*1=4>>4 You would earn $4 if you worked for 1 hour. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A vehicle travels 367.8 miles on a full tank of gas that holds 15 gallons. How many miles does the vehicle travel per gallon of gas?
LLemma 7B:
Reasoning: 367.8/15 = <<367.8/15=24.12>>24.12 miles per gallon ### Answer: 24.12
Expected answer: 24.5200000000000
Correct? No
Problem: John has $16.9 and his sister gives him an extra $19.0. After receiving the money, he discovers an old $3 bill in his pocket. How much money does John have now?
LLemma 7B:
Reasoning: John has $16.9 + $19.0 - $3 = <<16.9+19.0-3=32.9>>32.9 ### Answer: 32.9
Expected answer: 38.9000000000000
Correct? No
Problem: A drone flies at a constant speed of 7.8 km per hour. How far in km can it travel in 24 hours if it doesn't stop or slow down?
LLemma 7B:
Reasoning: 7.8 km per hour = <<7.8/60=0.13>>0.13 km per minute. 24 hours = <<24*60=1440>>1440 minutes. The drone can travel 1440*0.13 = <<1440*0.13=187.2>>187.2 km in 24 hours. ### Answer: 187.2
Expected answer: 187.200000000000
Correct? Yes
Problem: If a drone flies at a constant speed of 7.8 km per hour for 24 hours and then continues to fly an additional 31 km, how far in total would it have traveled?
LLemma 7B:
Reasoning: 7.8 km per hour = <<7.8/60=0.13>>0.13 km per minute. 24 hours = <<24*60=1440>>1440 minutes. The drone can travel 1440*0.13 = <<1440*0.13=187.2>>187.2 km in 24 hours. The drone can travel 187.2+31 = <<187.2+31=218.2>>218.2 km in total. ### Answer: 218.2
Expected answer: 218.200000000000
Correct? Yes
Problem: If the drone was actually flying at a constant speed of 7.8 km per hour for 30 hours instead of 24 hours, without taking into account the additional 31 km it flew afterwards, how far in total would it have traveled in those 30 hours?
LLemma 7B:
Reasoning: 7.8 km per hour = <<7.8/60=0.13>>0.13 km per minute. 30 hours = <<30*60=1800>>1800 minutes. The drone can travel 1800*0.13 = <<1800*0.13=234>>234 km in 30 hours. ### Answer: 234
Expected answer: 234.000000000000
Correct? Yes
Problem: Emily has saved $9.12 from doing household chores. Her mother then gives her an additional $16.00 as a monthly allowance. How much money does Emily now have in total?
LLemma 7B:
Reasoning: Emily has saved $9.12 from doing household chores. Her mother then gives her an additional $16.00 as a monthly allowance. Emily has saved $9.12+$16.00 = <<9.12+16.00=25.12>>25.12 in total. ### Answer: 25.12
Expected answer: 25.1200000000000
Correct? Yes
Problem: Emily's grandmother has heard about her diligent savings and decides to contribute by giving her $1.53. Given the money she already has from chores and allowance, how much money does Emily now have in total?
LLemma 7B:
Reasoning: Emily's grandmother has heard about her diligent savings and decides to contribute by giving her $1.53. Given the money she already has from chores and allowance, how much money does Emily now have in total? Emily has saved $25.12+$1.53 = <<25.12+1.53=26.65>>26.65 in total. ### Answer: 26.65
Expected answer: 26.6500000000000
Correct? Yes
Problem: Emily thought she was given $16.00 as a monthly allowance, but her mother actually gave her $47.00. Given the $9.12 she has from chores and the corrected amount of allowance, how much money does Emily now have in total?
LLemma 7B:
Reasoning: Emily thought she was given $16.00 as a monthly allowance, but her mother actually gave her $47.00. Given the $9.12 she has from chores and the corrected amount of allowance, Emily has saved $9.12+$47.00 = <<9.12+47.00=56.12>>56.12 in total. ### Answer: 56.12
Expected answer: 56.1200000000000
Correct? Yes
Problem: James had $24.31 in his wallet. After buying a sandwich for $22, how much money does he have left?
LLemma 7B:
Reasoning: James had $24.31 in his wallet. After buying a sandwich for $22, he has $24.31-$22 = <<24.31-22=2.31>>2.31 left. ### Answer: 2.31
Expected answer: 2.31000000000000
Correct? Yes
Problem: John had $37.3 in his savings account. He went to the store and spent $8. How much money does he have left in his savings account?
LLemma 7B:
Reasoning: John spent $8. John had $37.3 in his savings account. John had $37.3 - $8 = <<37.3-8=29.3>>29.3 in his savings account. ### Answer: 29.3
Expected answer: 29.3000000000000
Correct? Yes
Problem: John had $37.3 in his savings account. He went to the store and spent $8. How much money does he have left in his savings account? Later that day, his grandmother gives him $12.0 for his birthday. How much money does he have now in his savings account?
LLemma 7B:
Reasoning: John spent $8. John had $37.3 in his savings account. John had $37.3 - $8 = <<37.3-8=29.3>>29.3 in his savings account. Later that day, his grandmother gives him $12.0 for his birthday. John had $29.3 + $12.0 = <<29.3+12.0=41.3>>41.3 in his savings account. ### Answer: 41.3
Expected answer: 41.3000000000000
Correct? Yes
Problem: In the original scenario, John had $37.3 in his savings. However, what if he had $40 instead, and he still went to the store and spent the same amount of $8. How much would he have left in his savings account then?
LLemma 7B:
Reasoning: John spent $8. John had $40 in his savings account. John had $40 - $8 = <<40-8=32>>32 in his savings account. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Mary bought a dress for $45 but got a $8 discount. She now wants to buy the same dress for her 1.77 twin sisters. How much will it cost her?
LLemma 7B:
Reasoning: Mary's sisters will each pay $45-$8 = <<45-8=37>>37. Mary's sisters will each pay $37*1.77 = <<37*1.77=65.99>>65.99. ### Answer: 65.99
Expected answer: 65.4900000000000
Correct? No
Problem: Harrison has $43 in his bank account. He then receives a gift from his grandmother of an amount equal to $38.32 plus the original amount he had in his account. After receiving the gift, how much money does Harrison have altogether?
LLemma 7B:
Reasoning: Harrison has $43 + $38.32 = <<43+38.32=81.32>>$81.32 in his account after receiving the gift. ### Answer: $81.32
Expected answer: 124.320000000000
Correct? No
Problem: In a relay race, Tom ran 8.4 miles, and Jerry ran 43.4 miles. Then, Spike took over and ran 31 miles more. What is the total miles that the team have ran?
LLemma 7B:
Reasoning: Tom ran 8.4 miles, and Jerry ran 43.4 miles. Spike took over and ran 31 miles more. <<8.4+43.4+31=92.8>> The team has ran 92.8 miles. ### Answer: 92.8
Expected answer: 82.8000000000000
Correct? No
Problem: David has 984.4 dollars and wants to save an equal amount every week for the next 23 weeks. How much money should he save each week?
LLemma 7B:
Reasoning: 984.4/23 = <<984.4/23=42.5>>42.5 dollars should be saved each week. ### Answer: 42.5
Expected answer: 42.8000000000000
Correct? Yes
Problem: In the previous problem, David decided to save 984.4 dollars over 23 weeks. But what if David actually only had 28 dollars to begin with? How much would he have to save each week then?
LLemma 7B:
Reasoning: 28/23 = <<28/23=1.226>>1.226 dollars would have to be saved each week. ### Answer: 1.226
Expected answer: 28/23
Correct? No
Problem: Zara decided to save some of her money for her summer trip. Every week, she saved $29. After 17 weeks, how much money did she save in total for her trip?
LLemma 7B:
Reasoning: Zara saved$29 for 17 weeks. Zara saved $29*17 = <<29*17=493>>493 for her trip. ### Answer: 493
Expected answer: 493
Correct? Yes
Problem: Following her original plan, Zara managed to save $29 each week for 17 weeks for her summer trip. Then, she unexpectedly received an extra $31 from her grandma. How much money does she now have in total for her trip?
LLemma 7B:
Reasoning: Zara saved $29 for 17 weeks. Zara saved $29*17 = <<29*17=493>>493 for her trip. Zara now has $493+$31 = <<493+31=524>>524 for her trip. ### Answer: 524
Expected answer: 524
Correct? Yes
Problem: Zara originally planned to save $29 each week for 17 weeks, but she had to adjust and only save $22 each week instead. How much money would she have saved at the end of the 17 weeks with her adjusted saving plan?
LLemma 7B:
Reasoning: Zara would have saved $22 for 17 weeks. Zara would have saved $22*17 = <<22*17=374>>374 with her adjusted saving plan. ### Answer: 374
Expected answer: 374
Correct? Yes
Problem: Samuel has a total of 176 liters of paint. He wants to distribute it evenly into 8 barrels. How many liters of paint will there be in each barrel?
LLemma 7B:
Reasoning: 176/8 = <<176/8=22>>22 liters of paint in each barrel. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: If Samuel decides to fill 43 barrels with the same quantity of paint as before, how many liters of paint will he need in total?
LLemma 7B:
Reasoning: 43*22 = <<43*22=926>>926 liters of paint in total. ### Answer: 926
Expected answer: 946
Correct? No
Problem: If Samuel had started with only 176 liters of paint and decided to distribute it evenly into 29 barrels instead of 43, how many liters of paint would there be in each barrel?
LLemma 7B:
Reasoning: 176/29 = <<176/29=6>>6 liters of paint in each barrel. ### Answer: 6
Expected answer: 176/29
Correct? No
Problem: Mark bought 29 shirts for his clothing business, with each shirt costing $17. But he got a $1 discount on the total cost. How much did he pay in total for the shirts?
LLemma 7B:
Reasoning: Mark paid $17×29=$<<17*29=493>>493 for the shirts. ### Answer: 493
Expected answer: 492
Correct? No
Problem: Sarah buys 9 books from a bookstore where each book costs $27.99. She also purchases a magazine for $9. What is the total cost of Sarah's purchase?
LLemma 7B:
Reasoning: Sarah buys 9 books. Each book costs $27.99. Sarah buys 9 x $27.99 = <<9*27.99=254.91>>$254.91 worth of books. Sarah also purchases a magazine for $9. The total cost of Sarah's purchase is $254.91 + $9 = <<254.91+9=263.91>>$263.91. ### Answer: 263.91
Expected answer: 260.910000000000
Correct? No
Problem: Susan has 11 dollars in her purse and she found 14 dollars in her desk draw. After adding the money she found to her purse, she then earned another 23 dollars from doing chores. How much money does she have now?
LLemma 7B:
Reasoning: Susan has 11+14 = <<11+14=25>>25 dollars in her purse and desk draw. After adding the money she found to her purse, she then earned another 23 dollars from doing chores. She has 25+23 = <<25+23=48>>48 dollars now. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: After counting her money, Susan then spent $12.18 on a new book. How much money does she have left after buying the book?
LLemma 7B:
Reasoning: Susan has 48-12.18 = <<48-12.18=35.82>>35.82 dollars left after buying the book. ### Answer: 35.82
Expected answer: 35.8200000000000
Correct? Yes
Problem: Let's revise Susan's story a bit. Suppose that instead of finding 14 dollars in her desk drawer, she only found 6 dollars. If she still earned another 23 dollars from chores, how much money would she have then?
LLemma 7B:
Reasoning: Susan has 11 dollars in her purse. She found 6 dollars in her desk draw. After adding the money she found to her purse, she then earned another 23 dollars from doing chores. She has 11+6 = <<11+6=17>>17 dollars now. ### Answer: 17
Expected answer: 40
Correct? No
Problem: Susan has $46 in her wallet. She spends $45 on a new toy robot. How much money does she currently have left in her wallet?
LLemma 7B:
Reasoning: Susan has $46-$45 = <<46-45=1>>1 dollar left in her wallet. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Susan had $46 in her wallet. After she spent $45 on a new toy robot, her mother noticed her sadness for having only $1 left and decided to give her the same amount as she initially had ($46). How much money does Susan have now?
LLemma 7B:
Reasoning: Susan has $46+$1 = <<46+1=47>>47 dollars now. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: Instead of spending $45 on a toy robot, what if Susan decided to save a bit more money and spent only $40 on a less expensive robot? How much money would she have left in her wallet now?
LLemma 7B:
Reasoning: Susan has $46-$40 = <<46-40=6>>6 dollars left in her wallet. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Alex has $35.79 saved in his piggy bank. His grandma gave him $8 for his birthday. How much does Alex have now after receiving his birthday money?
LLemma 7B:
Reasoning: Alex has $35.79 saved in his piggy bank. His grandma gave him $8 for his birthday. Alex has $35.79 +$8 = <<35.79+8=43.79>>$43.79 after receiving his birthday money. ### Answer:$43.79
Expected answer: 43.7900000000000
Correct? Yes
Problem: What if Alex initially had $45 in his piggy bank instead of $35.79, then received the same $8 from his grandma. How much money does he have now?
LLemma 7B:
Reasoning: Alex initially had $45 in his piggy bank instead of $35.79, then received the same $8 from his grandma. Alex has $45 + $8 = <<45+8=53>>$53 after receiving his birthday money. ### Answer: $53
Expected answer: 53
Correct? Yes
Problem: John has $37 in his bank account. If he receives an additional $8 from his mother, how much money does he now have in his account?
LLemma 7B:
Reasoning: John has $37 +$8 = <<37+8=45>>45 in his account now. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: John used $4 of his total money to pay for a bus ticket. How much money does he have left now?
LLemma 7B:
Reasoning: John has $4 of his total money left now. ### Answer: 4
Expected answer: 41
Correct? No
Problem: Jim has $43.59 in his savings account. He receives his pocket money of $2.2. How much money does he have now in his savings account?
LLemma 7B:
Reasoning: Jim has $43.59 in his savings account. He receives his pocket money of $2.2. Jim has $43.59 +$2.2 = <<43.59+2.2=45.79>>$45.79 in his savings account. ### Answer:$45.79
Expected answer: 45.7900000000000
Correct? Yes
Problem: After Jim adds his pocket money of $2.2 to his savings account total of $43.59, he decides to deposit an additional $25.2 that he earned from helping his neighbor with yard work. How much money does he have in his savings account now?
LLemma 7B:
Reasoning: After Jim adds his pocket money of $2.2 to his savings account total of $43.59, he decides to deposit an additional $25.2 that he earned from helping his neighbor with yard work. Jim has $43.59 + $2.2 + $25.2 = <<43.59+2.2+25.2=71.01>>$71.01 in his savings account now. ### Answer: $71.01
Expected answer: 70.9900000000000
Correct? No
Problem: After helping his neighbor with yard work, instead of starting with $43.59, Jim only had $29 in his savings account initially. After adding his pocket money of $2.2, how much money does he have in his savings account now?
LLemma 7B:
Reasoning: After helping his neighbor with yard work, instead of starting with $43.59, Jim only had $29 in his savings account initially. After adding his pocket money of $2.2, he has $29 + $2.2 = <<29+2.2=31.2>>$31.2 in his savings account now. ### Answer: $31.2
Expected answer: 31.2000000000000
Correct? Yes
Problem: John has $36.92 in his wallet. After his birthday, he gets an additional $18.42 from his grandmother. How much money does John have now?
LLemma 7B:
Reasoning: John has $36.92 + $18.42 = $<<36.92+18.42=55.34>>55.34 in his wallet. ### Answer: 55.34
Expected answer: 55.3400000000000
Correct? Yes
Problem: In the previous scenario, John had $36.92 in his wallet and received an additional $18.42 from his grandmother. But what if instead of getting $18.42, John only got $6 from his grandmother for his birthday. How much money does John have now?
LLemma 7B:
Reasoning: John has $36.92 + $6 = $<<36.92+6=42.92>>42.92 in his wallet. ### Answer: 42.92
Expected answer: 42.9200000000000
Correct? Yes
Problem: Sarah had $38.45 in her savings account. She added another $39 to it. Later, she received a gift of $44.5. How much money does Sarah now have in total?
LLemma 7B:
Reasoning: Sarah had $38.45 in her savings account. She added another $39 to it. Sarah now has $38.45+$39 = <<38.45+39=77.45>>77.45 in total. ### Answer: 77.45
Expected answer: 121.950000000000
Correct? No
Problem: Tom has a savings of $17.44. He found a $23.3 bill on the street. How much money does he now have in total?
LLemma 7B:
Reasoning: Tom has $17.44 + $23.3 = <<17.44+23.3=40.74>>40.74 in total. ### Answer: 40.74
Expected answer: 40.7400000000000
Correct? Yes
Problem: Tom decided to save a little more and added $1 to his total savings. How much money does he have now in total?
LLemma 7B:
Reasoning: Tom has $17.44 + $23.3 + $1 = <<17.44+23.3+1=41.74>>41.74 in total. ### Answer: 41.74
Expected answer: 41.7400000000000
Correct? Yes
Problem: After careful consideration, Tom realized he initially had $18, not $17.44. If he found the same $23.3 on the street, how much would he have in total now?
LLemma 7B:
Reasoning: Tom has $18 + $23.3 = <<18+23.3=41.3>>41.3 in total. ### Answer: 41.3
Expected answer: 41.3000000000000
Correct? Yes
Problem: If a car consumes 615 liters of gas every 41 hours, how many liters of gas will it consume in 30 hours?
LLemma 7B:
Reasoning: 615/41 = <<615/41=15>>15 liters of gas every hour. 15*30 = <<15*30=450>>450 liters of gas in 30 hours. ### Answer: 450
Expected answer: 450
Correct? Yes
Problem: Continuing from the previous problem, if a car consumes 615 liters of gas every 41 hours, and it has consumed gas for 30 hours. But because of a leak, it lost 46.33 liters of that gas. How many liters of gas remain in the car?
LLemma 7B:
Reasoning: 615/41 = <<615/41=15>>15 liters of gas every hour. 15*30 = <<15*30=450>>450 liters of gas in 30 hours. 450-46.33 = <<450-46.33=403.67>>403.67 liters of gas remain in the car. ### Answer: 403.67
Expected answer: 403.670000000000
Correct? Yes
Problem: Continuing from the previous problem, what if the car's fuel consumption rate was instead 615 liters every 23 hours? How many liters of gas would it consume in 30 hours at this new rate?
LLemma 7B:
Reasoning: 615/23 = <<615/23=26.5>>26.5 liters of gas every hour. 26.5*30 = <<26.5*30=795>>795 liters of gas in 30 hours. ### Answer: 795
Expected answer: 18450/23
Correct? No
Problem: Emma has $38 in her wallet. After buying a book she only had $32.6 left. How much did the book cost?
LLemma 7B:
Reasoning: Emma had $38-$32.6 = <<38-32.6=5.4>>5.4 left. The book cost $38-$5.4 = <<38-5.4=32.6>>32.6. ### Answer: 32.6
Expected answer: 5.40000000000000
Correct? No
Problem: Stacey spent 20 dollars on books and another 35 dollars on school supplies. Later in the day, she decided to buy a backpack that cost 41 dollars more than her total earlier expenses. How much money did Stacey spend in all?
LLemma 7B:
Reasoning: Stacey spent 20+35 = <<20+35=55>>55 dollars on books and school supplies. Stacey spent 55+41 = <<55+41=96>>96 dollars in all. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: After spending money on books, school supplies, and a backpack, Stacey decided to also buy a new pair of shoes which cost 26 dollars. How much money did she spend in total?
LLemma 7B:
Reasoning: Stacey spent 96+26 = <<96+26=122>>122 dollars in total. ### Answer: 122
Expected answer: 122
Correct? Yes
Problem: If instead of spending 41 dollars on a backpack, Stacey only spent 12 dollars, how much would her total spending be (including the cost of the books, school supplies, and the 12-dollar item)?
LLemma 7B:
Reasoning: Stacey spent 20+35 = <<20+35=55>>55 dollars on books and school supplies. Stacey spent 55+12 = <<55+12=67>>67 dollars in all. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: A car completes a journey of 176.0 miles in 20.0 hours. How many miles does the car travel per hour?
LLemma 7B:
Reasoning: 176.0/20.0 = <<176.0/20.0=8.8>>8.8 miles per hour. ### Answer: 8.8
Expected answer: 8.80000000000000
Correct? Yes
Problem: Kaden's piggy bank has $9.9. He then adds $30.3 to his piggy bank. How much money does Kaden have in his piggy bank now?
LLemma 7B:
Reasoning: Kaden's piggy bank has $9.9. He then adds $30.3 to his piggy bank. Kaden's piggy bank has $9.9 + $30.3 = <<9.9+30.3=39.2>>39.2. ### Answer: 39.2
Expected answer: 40.2000000000000
Correct? No
Problem: Joe had $42.9 in his wallet, but he spent $34. How much money does Joe have left in his wallet now?
LLemma 7B:
Reasoning: Joe spent $34. Joe has $42.9-$34 = <<42.9-34=8.9>>8.9 left in his wallet now. ### Answer: 8.9
Expected answer: 8.90000000000000
Correct? Yes
Problem: Following on from the previous problem, Joe found a toy he wanted to buy for $35.44. After spending $34, how much more money does he need in order to buy the toy?
LLemma 7B:
Reasoning: Joe needs $35.44-$34 = <<35.44-34=1.44>>1.44 more in order to buy the toy. ### Answer: 1.44
Expected answer: 26.5400000000000
Correct? No
Problem: Following on from the previous problem, suppose Joe originally had $43 in his wallet instead of $42.9. After spending $34, how much money does Joe have left in his wallet now?
LLemma 7B:
Reasoning: Joe spent $34. Joe has $43-$34 = <<43-34=9>>9 left in his wallet now. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: You bought a car for $303.5756 and you decided to pay it off in 19.51 monthly installments. After calculating, you find the amount for each monthly installment. If you add $41.35 to your monthly installments for car insurance, what is your total monthly payment for your car and insurance?
LLemma 7B:
Reasoning: You need to add $41.35 to your monthly installments for car insurance. You bought a car for $303.5756 and you decided to pay it off in 19.51 monthly installments. You need to find the amount for each monthly installment. ### Answer: $21.35
Expected answer: 56.9100000000000
Correct? No
Problem: John has $28.2 in his wallet. He received an additional $8 from his friend. How much money does he have now in total?
LLemma 7B:
Reasoning: John has $28.2 in his wallet. He received an additional $8 from his friend. John has $28.2+$8 = <<28.2+8=36.2>>36.2 in his wallet. ### Answer: 36.2
Expected answer: 36.2000000000000
Correct? Yes
Problem: After initially having $28.2 plus $8, John decides to count his money again and realizes he actually started with $35 and still received $8 from his friend. How much money does he have now in total?
LLemma 7B:
Reasoning: After initially having $28.2 plus $8, John decides to count his money again and realizes he actually started with $35 and still received $8 from his friend. John has $35+$8 = <<35+8=43>>43 in his wallet. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Lisa has 30.3 acres of farmland and she recently bought another plot of 5.9 acres. What is the total acreage of Lisa's farmland now?
LLemma 7B:
Reasoning: Lisa has 30.3+5.9 = <<30.3+5.9=36.2>>36.2 acres of farmland now. ### Answer: 36.2
Expected answer: 36.2000000000000
Correct? Yes
Problem: Lisa has a twin sister, Mona, who also has exactly the same amount of farmland as Lisa does. If Lisa has 30.3 acres of farmland and she recently bought another plot of 5.9 acres, how much total land do Lisa and Mona have combined now, considering that they both have the same amount of land?
LLemma 7B:
Lisa and Mona have 30.3+30.3+5.9 = <<30.3+30.3+5.9=66.5>>66.5 acres of land now. ### Answer: 66.5
Expected answer: 72.4000000000000
Correct? No
Problem: John saved $16 from his weekly allowance. On his birthday, his grandmother gave him $25.17 as a gift. How much money does John have in total?
LLemma 7B:
Reasoning: John has $16+25.17 = <<16+25.17=41.17>>41.17 in total. ### Answer: 41.17
Expected answer: 41.1700000000000
Correct? Yes
Problem: In addition to the money John saved from his allowance and his birthday gift, he also earned $20.9 from mowing the neighbor's lawn. How much money does John have in total now?
LLemma 7B:
Reasoning: John has $41.17+20.9 = <<41.17+20.9=62.07>>62.07 in total now. ### Answer: 62.07
Expected answer: 62.0700000000000
Correct? Yes
Problem: Joanna is saving money to buy a new bike. She decides to save $32.2 every week. After 17.38 weeks, how much money will she have saved?
LLemma 7B:
Reasoning: Joanna will have saved$32.2*17.38 = <<32.2*17.38=569.208>>569.208 after 17.38 weeks. ### Answer: 569.208
Expected answer: 559.636000000000
Correct? No
Problem: John has 48 dollars in his wallet. He bought a new book that cost him 18 dollars. How much money does he have left in his wallet now?
LLemma 7B:
Reasoning: John has 48-18 = <<48-18=30>>30 dollars left in his wallet now. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: John originally had 32 dollars in his wallet, not 48. After spending 18 dollars on a book, how much money does he have left in his wallet now?
LLemma 7B:
Reasoning: John has 32-18 = <<32-18=14>>14 dollars left in his wallet now. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: A student has $39.4 in his bank account initially. He earned $5 from selling used textbooks. How much money is now in his bank account?
LLemma 7B:
Reasoning: The student has $39.4 + $5 = <<39.4+5=44.4>>44.4 in his bank account now. ### Answer: 44.4
Expected answer: 44.4000000000000
Correct? Yes
Problem: I have $38, and then I bought a toy for $3. After that, I was given $40. How much money do I have in total now?
LLemma 7B:
Reasoning: I have $38+$3 = <<38+3=41>>41. I have $41+$40 = <<41+40=81>>81. ### Answer: 81
Expected answer: 75
Correct? No
Problem: Sally ran 38.5 miles in a week. On the next week, she decided to increase her distance by 2 miles. How many miles did she run in the next week?
LLemma 7B:
Reasoning: Sally ran 38.5+2 = <<38.5+2=40.5>>40.5 miles in the next week. ### Answer: 40.5
Expected answer: 40.5000000000000
Correct? Yes
Problem: If initially, instead of increasing her distance by 2 miles in the second week, Sally had decided to increase her mileage by 41 miles. How many miles would she have run in the second week?
LLemma 7B:
Reasoning: Sally ran 38.5+41 = <<38.5+41=89.5>>89.5 miles in the second week. ### Answer: 89.5
Expected answer: 79.5000000000000
Correct? No
Problem: A farmer buys pesticide for his farm. Each bottle of pesticide costs $16.01. If he buys 17 bottles, how much money does he spend?
LLemma 7B:
Reasoning: 17*16.01 = <<17*16.01=272.17>>272.17 ### Answer: 272.17
Expected answer: 272.170000000000
Correct? Yes
Problem: After buying the pesticide, the farmer receives a discount coupon that allows him to save $26. After applying the coupon, how much does he spend in total for the 17 bottles of pesticide?
LLemma 7B:
Reasoning: 17*16.01 - 26 = <<17*16.01-26=248.17>>248.17 ### Answer: 248.17
Expected answer: 246.170000000000
Correct? No
Problem: The farmer is considering a different pesticide that costs $23 per bottle. If the farmer were to buy 17 bottles of this other pesticide instead, how much would it cost him in total?
LLemma 7B:
Reasoning: 17*23 = <<17*23=391>>391 ### Answer: 391
Expected answer: 391
Correct? Yes
Problem: Jim spent $28 on groceries and then $44.99 on a new shirt. How much money did he spend in total?
LLemma 7B:
Reasoning: Jim spent $28 + $44.99 = <<28+44.99=73.99>>73.99 in total. ### Answer: 73.99
Expected answer: 72.9900000000000
Correct? No
Problem: John has $13.8 in his savings account. After doing some chores, his mom gives him additional $3. How much money does John have in his savings account now?
LLemma 7B:
Reasoning: John has $13.8 + $3 = <<13.8+3=16.8>>16.8 in his savings account now. ### Answer: 16.8
Expected answer: 16.8000000000000
Correct? Yes
Problem: Continuing from the previous scenarios, let's say John initially had $31 in his savings account instead of $13.8. After doing his chores, his mom gives him an additional $3. How much money would John have in his savings account then?
LLemma 7B:
Reasoning: John has $31 + $3 = <<31+3=34>>34 in his savings account now. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: John has $19 in his wallet and he finds $5 on the street. After adding this to his wallet, he discovers a forgotten envelope with $27.97 in it, which he also adds to his wallet. He then heads to a collector's flea market, where he buys 17 vintage comic books, each costing the total amount he currently has in his wallet. How much does he spend in total on the comic books?
LLemma 7B:
Reasoning: John has $19 +$5 = <<19+5=24>>24 in his wallet. He has $27.97 +$24 = <<27.97+24=51.97>>51.97 in his wallet after adding the forgotten envelope. He spends $51.97 on 17 comic books. Each comic book costs$51.97/17 = <<51.97/17=3.01>>3.01. He spends $3.01 x 17 = <<3.01*17=51.17>>51.17 in total on the comic books. ### Answer: 51.17
Expected answer: 883.490000000000
Correct? No
Problem: John has $35.6 in his wallet. After buying a chocolate bar for $32, he receives some money from his friend who owed him $46.3, which amount is aslo added to his wallet. Later, his grandmother gave him an extra $12.9. How much money does he have now in his wallet?
LLemma 7B:
Reasoning: John has $35.6 in his wallet. After buying a chocolate bar for $32, he receives some money from his friend who owed him $46.3, which amount is aslo added to his wallet. Later, his grandmother gave him an extra $12.9. John has $35.6 +$32 + $46.3 +$12.9 = <<35.6+32+46.3+12.9=128.8>>128.8 in his wallet. ### Answer: 128.8
Expected answer: 62.8000000000000
Correct? No
Problem: A car travels a total distance of 436.23179999999996 miles, and it used up 46.26 gallons of gas for the entire trip. What was the car's average mileage per gallon of gas used?
LLemma 7B:
Reasoning: 436.23179999999996/46.26 = <<436.23179999999996/46.26=9.45>>9.45 miles per gallon ### Answer: 9.45
Expected answer: 9.43000000000000
Correct? Yes
Problem: Following the previous problem about the car's mileage, if the car originally travelled a total of 436.23179999999996 miles with 17 gallons of gas instead of 46.26, what would have been the car's average mileage per gallon of gas used?
LLemma 7B:
Reasoning: 436.23179999999996/17 = <<436.23179999999996/17=25.42>>25.42 miles per gallon ### Answer: 25.42
Expected answer: 25.6606941176471
Correct? No
Problem: Peter has $41.21 saved from his birthday and just received an additional $28.27 from mowing lawns. How much money does he have in total now?
LLemma 7B:
Reasoning: Peter has $41.21 saved from his birthday and just received an additional $28.27 from mowing lawns. Peter has $41.21 + $28.27 = <<41.21+28.27=69.48>>69.48 in total now. ### Answer: 69.48
Expected answer: 69.4800000000000
Correct? Yes
Problem: Sammy runs at a speed of 6.4 mph. If he runs for 43 hours in total, how far does he travel?
LLemma 7B:
Reasoning: Sammy runs at a speed of 6.4 mph. Sammy runs for 43 hours in total. Sammy runs for 43 hours at a speed of 6.4 mph. Sammy runs for 43 hours at a speed of 6.4 mph = 43*6.4 = <<43*6.4=277.2>>277.2 miles. ### Answer: 277.2
Expected answer: 275.200000000000
Correct? No
Problem: John has 50 dollars. He spent 24 dollars on a video game. How much money does John have left?
LLemma 7B:
Reasoning: John has 50-24 = <<50-24=26>>26 dollars left. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If John initially had only 27 dollars instead of 50 dollars, and he still spent 24 dollars on a video game, how much money would he have left?
LLemma 7B:
Reasoning: John would have 27-24 = <<27-24=3>>3 dollars left. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: David earns $46.37 an hour. His friend Robert earns $19.96 an hour. For one shift of 14.28 hours, how much did they collectively earn if they worked the same amount of hours?
LLemma 7B:
Reasoning: Robert earns 19.96/46.37 = <<19.96/46.37=0.43>>0.43 of what David earns. David earns 46.37/14.28 = <<46.37/14.28=3.21>>3.21 hours of work. Robert earns 14.28*0.43 = <<14.28*0.43=6.00>>6.00 hours of work. David earns 3.21*46.37 = <<3.21*46.37=145.53>>145.53 Robert earns 6.00*19.96 = <<6.00*19.96=119.76>>119.76 Together they earn 145.53+119.76 = <<145.53+119.76=265.29>>265.29 ### Answer: 265.29
Expected answer: 947.192400000000
Correct? No
Problem: John has $6.3 in his piggy bank, and he finds a $39 bill on the street. How much money does he have now?
LLemma 7B:
Reasoning: John has $6.3 +$39 = <<6.3+39=45.3>>45.3 in his piggy bank now. ### Answer: 45.3
Expected answer: 45.3000000000000
Correct? Yes
Problem: John's twin brother Jacob, who also had $6.3 in his piggy bank and found a $39 bill on the street, decided to combine his money with John's. How much money do they have together now?
LLemma 7B:
Reasoning: John's money is $6.3 + $39 = <<6.3+39=45.3>>45.3 and Jacob's money is $6.3 + $39 = <<6.3+39=45.3>>45.3. Together, they have $45.3 + $45.3 = <<45.3+45.3=90.6>>90.6. ### Answer: 90.6
Expected answer: 90.6000000000000
Correct? Yes
Problem: John has $13 in his wallet. He then adds $33.88 more. How much money does John have in total now?
LLemma 7B:
Reasoning: John has $13 + $33.88 = <<13+33.88=46.88>>46.88 in total now. ### Answer: 46.88
Expected answer: 46.8800000000000
Correct? Yes
Problem: Roger had $47 in his wallet. After lunch, he only had $28.5 left. How much money did he spend on lunch?
LLemma 7B:
Reasoning: Roger spent $47-$28.5 = <<47-28.5=18.5>>18.5. ### Answer: 18.5
Expected answer: 18.5000000000000
Correct? Yes
Problem: Roger decided to convert the amount of money he spent on lunch to another currency where the exchange rate is $2.47 per dollar. How much would his lunch cost in this new currency?
LLemma 7B:
Reasoning: Roger spent $18.5*$2.47 = <<18.5*2.47=44.925>>44.925 in this new currency. ### Answer: 44.925
Expected answer: 45.6950000000000
Correct? No
Problem: Roger initially thought he had $45 in his wallet, not $47. Given this, how much money did he actually spend on lunch?
LLemma 7B:
Reasoning: Roger spent $45-$28.5 = <<45-28.5=16.5>>16.5. ### Answer: 16.5
Expected answer: 16.5000000000000
Correct? Yes
Problem: Jack has $29 already, and then his grandma gives him another $10.28 for his birthday. How much money does Jack have now?
LLemma 7B:
Reasoning: Jack has $29+$10.28 = <<29+10.28=39.28>>$39.28. ### Answer:$39.28
Expected answer: 39.2800000000000
Correct? Yes
Problem: Suppose instead of giving Jack $30 on his birthday instead of $10.28. Now, how much money does Jack have before he goes to the toy store?
LLemma 7B:
Reasoning: Jack has $29+$30 = <<29+30=59>>$59. ### Answer:$59
Expected answer: 59
Correct? No
Problem: John had $18.4 in his wallet, but he spent $3.73 on a candy bar. Later that day, his mom gave him $33.4. After that, he spent $28 on a new video game. How much money does he have left?
LLemma 7B:
Reasoning: John had $18.4 in his wallet. He spent $3.73 on a candy bar. John had $18.4 - $3.73 = <<18.4-3.73=14.67>>14.67 in his wallet. His mom gave him $33.4. John had $18.4 - $3.73 + $33.4 = <<18.4-3.73+33.4=49.17>>49.17 in his wallet. He spent $28 on a new video game. John had $49.17 - $28 = <<49.17-28=21.17>>21.17 in his wallet. ### Answer: 21.17
Expected answer: 20.0700000000000
Correct? No
Problem: Joseph paid $721.11 for 39 movie tickets. How much does each movie ticket cost?
LLemma 7B:
Reasoning: Each movie ticket cost 721.11/39 = <<721.11/39=18.23>>18.23. ### Answer: 18.23
Expected answer: 18.4900000000000
Correct? No
Problem: A customer went shopping and spent $11.01 on each of the 34.2 pounds of fruits he bought. He also spent an extra $7 on snacks. How much total money did he spend?
LLemma 7B:
Reasoning: The customer spent $11.01 on each of the 34.2 pounds of fruits. He also spent an extra $7 on snacks. The customer spent $11.01 x 34.2 + $7 = $389.97 + $7 = $396.97 on fruits and snacks. ### Answer: $396.97
Expected answer: 383.542000000000
Correct? No
Problem: A car travels at a constant speed of 48 km per hour. How far will the car have travelled after 3.6 hours?
LLemma 7B:
Reasoning: 48 km/hour * 3.6 hours = <<48*3.6=172.8>>172.8 km ### Answer: 172.8
Expected answer: 172.800000000000
Correct? Yes
Problem: Following the previous scenario, after traveling for 3.6 hours, the car continues to travel for another 30.0 km. What is the total distance traveled by the car?
LLemma 7B:
Reasoning: 172.8 km + 30.0 km = <<172.8+30.0=202.8>>202.8 km ### Answer: 202.8
Expected answer: 202.800000000000
Correct? Yes
Problem: Following the previous scenario, suppose the car had traveled at a speed of 46 km per hour instead of 48 km. How far would the car have traveled after 3.6 hours?
LLemma 7B:
Reasoning: 46 km/hour * 3.6 hours = <<46*3.6=160.8>>160.8 km ### Answer: 160.8
Expected answer: 165.600000000000
Correct? No
Problem: A cyclist pedals for 50.0 kilometers and then takes a break, having covered 38.4 kilometers before stopping. How far did the cyclist pedal after resuming from the break?
LLemma 7B:
Reasoning: The cyclist pedaled 50.0 - 38.4 = <<50.0-38.4=11.6>>11.6 kilometers after resuming from the break. ### Answer: 11.6
Expected answer: 11.6000000000000
Correct? Yes
Problem: Based on the previous problem where a cyclist pedaled a certain distance after a break, assume now the cyclist repeats the same cycle for 7 days. How much distance, in kilometers, does the cyclist cover after resuming from the break over these 7 days?
LLemma 7B:
Reasoning: The cyclist covers 11.6 * 7 = <<11.6*7=80.8>>80.8 kilometers after resuming from the break over these 7 days. ### Answer: 80.8
Expected answer: 81.2000000000000
Correct? No
Problem: Based on the previous problem, now assume that on each of these 7 days, the cyclist pedals for 50.0 kilometers total, but now takes a break after covering 40 kilometers. How much distance, in kilometers, does the cyclist cover after resuming from the break each day?
LLemma 7B:
Reasoning: The cyclist covers 50.0 - 40.0 = <<50.0-40.0=10.0>>10.0 kilometers after resuming from the break each day. ### Answer: 10.0
Expected answer: 10.0000000000000
Correct? Yes
Problem: A delivery driver travels 67.66 miles in 17 hours. How far does he drive in one hour?
LLemma 7B:
Reasoning: 67.66/17 = <<67.66/17=4>>4 miles in one hour. ### Answer: 4
Expected answer: 3.98000000000000
Correct? No
Problem: Maria has $19 saved up. She later receives $43 from her birthday. How much money will she have left after buying a book that costs $40?
LLemma 7B:
Reasoning: Maria has $19 + $43 = <<19+43=62>>62 saved up. She will have $62 - $40 = <<62-40=22>>22 left after buying a book that costs $40. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Suppose initially Maria had saved up $19. Then, instead of receiving $43 from her birthday, she only received $28. After buying the same book that costs $40, how much money will she have left?
LLemma 7B:
Reasoning: Maria has $19 + $28 = <<19+28=47>>47 saved up. She will have $47 - $40 = <<47-40=7>>7 left after buying a book that costs $40. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Mia has $41 saved from her birthday. She babysat for a neighbour and earned an additional $24.7. How much money does she have now in total?
LLemma 7B:
Reasoning: Mia has $41 saved from her birthday. She babysat for a neighbour and earned an additional $24.7. Mia has $41+$24.7 = <<41+24.7=65.7>>65.7 in total. ### Answer: 65.7
Expected answer: 65.7000000000000
Correct? Yes
Problem: Mia has $41 saved from her birthday. She babysat for a neighbour and earned an additional $24.7. After gathering her savings, she decided to buy a new book that cost $38.6. How much money does she have left after buying the book?
LLemma 7B:
Reasoning: Mia has $41 saved from her birthday. She babysat for a neighbour and earned an additional $24.7. After gathering her savings, she decided to buy a new book that cost $38.6. Mia has $41+$24.7-$38.6 = <<41+24.7-38.6=10.1>>10.1 in total. ### Answer: 10.1
Expected answer: 27.1000000000000
Correct? No
Problem: Instead of $41 from her birthday, suppose Mia had only managed to save $35. Including her earnings of $24.7 from babysitting, how much money does she now have in total?
LLemma 7B:
Reasoning: Instead of $41 from her birthday, suppose Mia had only managed to save $35. Including her earnings of $24.7 from babysitting, how much money does she now have in total? Mia has $35+$24.7 = <<35+24.7=59.7>>59.7 in total. ### Answer: 59.7
Expected answer: 59.7000000000000
Correct? Yes
Problem: John spent 12 dollars on lunch and an additional 5 dollars on a dessert. After lunch, he went to a clothing store and bought a shirt for $26.00. How much total money did John spend?
LLemma 7B:
Reasoning: John spent 12+5 = <<12+5=17>>17 dollars on lunch and a dessert. John spent 26+17 = <<26+17=43>>43 dollars on lunch and a dessert and a shirt. ### Answer: 43
Expected answer: 43.0000000000000
Correct? Yes
Problem: In addition to his other expenses, John decided to buy twenty raffle tickets for a charity event. Each ticket cost the same as the total amount of money he had spent earlier. How much money did John spend on the raffle tickets?
LLemma 7B:
Reasoning: John spent 43 dollars on lunch and a dessert and a shirt. John spent 20*43 = <<20*43=860>>860 dollars on the raffle tickets. ### Answer: 860
Expected answer: 860.000000000000
Correct? Yes
Problem: John spent 12 dollars on lunch and an additional 5 dollars on a dessert. After lunch, he went to a clothing store and was contemplating buying a shirt. However, instead of the $26.00 shirt he bought previously, he decided to buy a more expensive shirt that costs $49. What would be the total amount of money spent in this scenario?
LLemma 7B:
Reasoning: John spent 12+5 = <<12+5=17>>17 dollars on lunch and a dessert. John spent 49+17 = <<49+17=66>>66 dollars on lunch and a dessert and a shirt. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Laura deposited $23 into her bank account on Monday. On Tuesday, she deposited an additional $44.5. How much money did Laura deposit in total over those two days?
LLemma 7B:
Reasoning: Laura deposited $23 + $44.5 = <<23+44.5=67.5>>$67.5 on Tuesday. Laura deposited $23 + $67.5 = <<23+67.5=90.5>>$90.5 in total over those two days. ### Answer: 90.5
Expected answer: 67.5000000000000
Correct? No
Problem: Peter has 11 dimes in his pocket. If each dime is worth $1, how much money does Peter have in total?
LLemma 7B:
Reasoning: Peter has 11 dimes. Each dime is worth$1. Peter has 11 x $1 =$11 in total. ### Answer: $11
Expected answer: 11
Correct? Yes
Problem: Instead of having 11 dimes in his pocket, Peter actually has 11 dozen dimes. If each dime is worth $1, how much money does Peter now have in total?
LLemma 7B:
Reasoning: Peter has 11 dozen dimes. Each dime is worth $1. Peter has 11 x 12 x $1 = $132 in total. ### Answer: $132
Expected answer: 132
Correct? Yes
Problem: John has saved $43.36 each week for 13 weeks. How much money has he saved in total?
LLemma 7B:
Reasoning: John has saved$43.36*13 = <<43.36*13=561.36>>$561.36 in total. ### Answer:$561.36
Expected answer: 563.680000000000
Correct? No
Problem: Jenna has 29 quarters in her piggy bank. If each quarter is worth 3.0 dimes, what is the total amount of money Jenna has in her piggy bank in terms of dimes?
LLemma 7B:
Reasoning: 29 quarters is equal to 29*3 = <<29*3=87>>87 dimes. Jenna has 87 dimes in her piggy bank. ### Answer: 87
Expected answer: 87.0000000000000
Correct? Yes
Problem: Peter divided his $85 among 5 of his friends. How much money did each friend receive?
LLemma 7B:
Peter divided his$85 among 5 of his friends. Each friend received $85/5 = <<85/5=17>>17. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Mandy has saved up $29.7 from her part-time job. Her father gave her an additional $12.6. How much money does she have in total now?
LLemma 7B:
Reasoning: Mandy has saved up $29.7 from her part-time job. Her father gave her an additional $12.6. Mandy has saved up $29.7 + $12.6 = <<29.7+12.6=42.3>>$42.3 from her part-time job. Mandy has saved up $42.3 from her part-time job. Her father gave her an additional $12.6. Mandy has saved up $42.3 + $12.6 = <<42.3+12.6=54.9>>$54.9 from her part-time job. ### Answer: 54.9
Expected answer: 42.3000000000000
Correct? No
Problem: John has 46 dollars in his savings account. His grandmother gave him 6.57 dollars for completing some chores around her house. How much money does John have now?
LLemma 7B:
Reasoning: John has 46+6.57 = <<46+6.57=52.57>>52.57 dollars now. ### Answer: 52.57
Expected answer: 52.5700000000000
Correct? Yes
Problem: John used 38 dollars out of his total savings to purchase a new video game. How much money does John now have left in his savings?
LLemma 7B:
Reasoning: John has 38 dollars left in his savings. ### Answer: 38
Expected answer: 14.5700000000000
Correct? No
Problem: If a bakery makes 10 loaves of bread every hour and the oven is working continuously for 36 hours, how many loaves of bread are made?
LLemma 7B:
Reasoning: 10 loaves of bread are made every hour. 36 hours = <<36/60=0.6>>0.6 days. 0.6 days = <<0.6*24=14.4>>14.4 hours. 10 loaves of bread are made every hour. 14.4 hours = <<14.4*10=144>>144 loaves of bread. ### Answer: 144
Expected answer: 360
Correct? No
Problem: John has saved up $30.02 in his piggy bank. His grandmother gave him $38.9 for his birthday. How much money does he have now in total?
LLemma 7B:
Reasoning: John has $30.02 + $38.9 = <<30.02+38.9=68.92>>68.92 in his piggy bank. ### Answer: 68.92
Expected answer: 68.9200000000000
Correct? Yes
Problem: John has saved up $30.02 in his piggy bank. His grandmother gave him $38.9 for his birthday, so now he has a certain amount of money. If he manages to save up six times the amount he has now, how much money will he have in total?
LLemma 7B:
Reasoning: John has $30.02 + $38.9 = <<30.02+38.9=68.92>>68.92 in his piggy bank. John has $68.92 + $68.92 + $68.92 + $68.92 + $68.92 + $68.92 = <<68.92*6=413.52>>413.52 in total. ### Answer: 413.52
Expected answer: 413.520000000000
Correct? Yes
Problem: John originally had $30.02 saved up in his piggy bank, but instead of his grandmother giving him $38.9 for his birthday, she gave him $13. How much money does John have now in his piggy bank?
LLemma 7B:
Reasoning: John has $30.02 - $13 = <<30.02-13=17.02>>17.02 in his piggy bank. ### Answer: 17.02
Expected answer: 43.0200000000000
Correct? No
Problem: You already finished a 23.0-kilometer route. If you continue for another 17.2 kilometers, what will be your total travel distance?
LLemma 7B:
Reasoning: You already finished a 23.0-kilometer route. If you continue for another 17.2 kilometers, your total travel distance will be 23.0+17.2 = <<23.0+17.2=40.2>>40.2 kilometers. ### Answer: 40.2
Expected answer: 40.2000000000000
Correct? Yes
Problem: You already finished a 23.0-kilometer route. If you continue for another 17.2 kilometers, what will be your total travel distance? Afterward, if you have a 48.2-kilometer course to finish, how many more kilometers do you need to travel to complete the course?
LLemma 7B:
Reasoning: You already finished a 23.0-kilometer route. If you continue for another 17.2 kilometers, your total travel distance will be 23.0+17.2 = <<23.0+17.2=40.2>>40.2 kilometers. Afterward, if you have a 48.2-kilometer course to finish, you need to travel 48.2-40.2 = <<48.2-40.2=8>>8 more kilometers to complete the course. ### Answer: 8
Expected answer: 8.00000000000000
Correct? Yes
Problem: You already finished a 23.0-kilometer route. What if instead you had a longer route that was 48 kilometers before added to your already traveled distance of 23 kilometers, what would your total travel distance have been in that scenario?
LLemma 7B:
Reasoning: You already finished a 23.0-kilometer route. What if instead you had a longer route that was 48 kilometers before added to your already traveled distance of 23 kilometers, your total travel distance would be 23.0+48 = <<23.0+48=71>>71 kilometers. ### Answer: 71
Expected answer: 71.0000000000000
Correct? Yes
Problem: Bob is driving a car at a speed of 8.0 miles per hour. If he drives for 3.9 hours, how many miles will he have driven?
LLemma 7B:
Reasoning: Bob will have driven 8.0*3.9 = <<8.0*3.9=31.2>>31.2 miles. ### Answer: 31.2
Expected answer: 31.2000000000000
Correct? Yes
Problem: Bob is driving a car at a speed of 8.0 miles per hour. If he drives for 3.9 hours, he will have driven a certain number of miles. After driving for a while, he stops for a break, during which his car cools down by 21 miles of equivalent energy consumption. What's the equivalent distance for the energy remaining in his car?
LLemma 7B:
Reasoning: Bob will have driven 8.0*3.9 = <<8.0*3.9=31.2>>31.2 miles. The equivalent distance for the energy remaining in his car is 31.2-21 = <<31.2-21=10.2>>10.2 miles. ### Answer: 10.2
Expected answer: 10.2000000000000
Correct? Yes
Problem: Initially, Bob was driving a car at a speed of 8.0 miles per hour for 3.9 hours. Now, consider that instead of driving for 3.9 hours, he drove for 26 hours. How many miles would he have driven then?
LLemma 7B:
Reasoning: Bob would have driven 8.0*26 = <<8.0*26=208>>208 miles. ### Answer: 208
Expected answer: 208.000000000000
Correct? Yes
Problem: A train travels at a speed of 47.1 miles per hour. How far will it travel in 8 hours?
LLemma 7B:
Reasoning: 47.1 x 8 = <<47.1*8=376.8>>376.8 miles ### Answer: 376.8
Expected answer: 376.800000000000
Correct? Yes
Problem: After the train has travelled for 8 hours at a speed of 47.1 miles per hour, it suddenly has to take a detour that reduces the total distance travelled by 21.2 miles. What is the final distance travelled by the train?
LLemma 7B:
Reasoning: 376.8 - 21.2 = <<376.8-21.2=355.6>>355.6 miles ### Answer: 355.6
Expected answer: 355.600000000000
Correct? Yes
Problem: What if the train had to travel for 16 hours instead of 8 at the same speed of 47.1 miles per hour? How far would it travel then?
LLemma 7B:
Reasoning: 47.1 x 16 = <<47.1*16=753.6>>753.6 miles ### Answer: 753.6
Expected answer: 753.600000000000
Correct? Yes
Problem: In a certain online video game, you start with 18 health points. An enemy hits you and you lose 3.4 health points. For every remaining health point, your character's strength level increases by a 46 points multiplier. How many strength levels will your character have after the enemy hit?
LLemma 7B:
Reasoning: 18-3.4 = <<18-3.4=14.6>>14.6 health points remain. 14.6/1 = <<14.6/1=14.6>>14.6 strength levels increase. ### Answer: 14.6
Expected answer: 671.600000000000
Correct? No
Problem: John had $29.33 in his wallet. After spending $7.3 out of $37 he had in his bank account, he decided to put the remaining money from his bank account into his wallet. How much money did he have in his wallet then?
LLemma 7B:
Reasoning: John had $29.33 in his wallet. After spending $7.3 out of $37 he had in his bank account, he decided to put the remaining money from his bank account into his wallet. John had $29.33 in his wallet. After spending $7.3 out of $37 he had in his bank account, he decided to put the remaining money from his bank account into his wallet. ### Answer: 29.33
Expected answer: 59.0300000000000
Correct? No
Problem: Jenny had $48.6 in her savings account. On her birthday, she received $26 more. After a few days, she spent $22 on a new book. How much money does Jenny have now in her savings account?
LLemma 7B:
Reasoning: Jenny had $48.6 in her savings account. On her birthday, she received $26 more. Jenny had $48.6 +$26 = <<48.6+26=74.6>>74.6 in her savings account after her birthday. After a few days, she spent $22 on a new book. Jenny had $74.6 - $22 = <<74.6-22=52.6>>52.6 in her savings account after a few days. ### Answer: 52.6
Expected answer: 52.6000000000000
Correct? Yes
Problem: Jenny later decided to purchase a video game for $42 from her savings account. How much money does she have left in her account after buying the video game?
LLemma 7B:
Reasoning: Jenny had $52.6 in her savings account. She spent $42 on a video game. Jenny had $52.6 - $42 = <<52.6-42=10.6>>10.6 in her savings account after buying the video game. ### Answer: 10.6
Expected answer: 10.6000000000000
Correct? Yes
Problem: What if on Jenny's birthday she received $27 instead of $26 and then she still spent $22 on a new book. How much money does she have now in her savings account in that case?
LLemma 7B:
Reasoning: Jenny had $48.6 in her savings account. On her birthday, she received $27 more. Jenny had $48.6 + $27 = <<48.6+27=75.6>>75.6 in her savings account after her birthday. After a few days, she spent $22 on a new book. Jenny had $75.6 - $22 = <<75.6-22=53.6>>53.6 in her savings account after a few days. ### Answer: 53.6
Expected answer: 53.6000000000000
Correct? Yes
Problem: A car travels 46.72 miles per hour. After 11.62 hours of driving, the car's gas tank indicates that an additional 41 miles can be covered before the gas runs out. How many miles can the car still travel in total?
LLemma 7B:
Reasoning: 46.72/11.62 = <<46.72/11.62=4>>4 miles per hour. 4*41 = <<4*41=164>>164 miles can be covered before the gas runs out. 46.72*11.62 = <<46.72*11.62=539.12>>539.12 miles can be covered before the gas runs out. 46.72*11.62+164 = <<46.72*11.62+164=1103.12>>1103.12 miles can be covered before the gas runs out. ### Answer: 1103.12
Expected answer: 583.886400000000
Correct? No
Problem: Jerry has $23.7 in his bank account and his mom gives him an additional $7.56. After buying a snack for $4.5, how much money does Jerry have left in his account?
LLemma 7B:
Reasoning: Jerry has $23.7 + $7.56 = <<23.7+7.56=31.26>>31.26 in his account. Jerry spent $4.5 for a snack. Jerry has $31.26 - $4.5 = <<31.26-4.5=26.76>>26.76 left in his account. ### Answer: 26.76
Expected answer: 26.7600000000000
Correct? Yes
Problem: Using the money left in Jerry's bank account after buying a snack, he decides to buy a book. If the book costs $36, how much more money does he need to buy the book?
LLemma 7B:
Reasoning: Jerry has $26.76 - $36 = <<26.76-36= -10.24>>-10.24 left in his account. Jerry needs $36 - $26.76 = <<36-26.76=9.24>>9.24 more money to buy the book. ### Answer: 9.24
Expected answer: 9.24000000000000
Correct? Yes
Problem: In the previous situation, suppose Jerry had initially $19 in his bank account instead of $23.7. After his mom gives him $7.56 and he buys a snack for $4.5, how much money does he have left in his bank account now?
LLemma 7B:
Reasoning: Jerry has $19 + $7.56 = <<19+7.56=26.56>>26.56 in his account. Jerry spent $4.5 for a snack. Jerry has $26.56 - $4.5 = <<26.56-4.5=22.06>>22.06 left in his account. ### Answer: 22.06
Expected answer: 22.0600000000000
Correct? Yes
Problem: You found 3 rare coins at your grandmother's house. Each coin can be sold for 10 dollars. After selling them, you pay 5.1 dollars for auction fees. How much money do you have left after paying the auction fees?
LLemma 7B:
Reasoning: You have 3 coins. Each coin is worth 10 dollars. You have 3*10 = <<3*10=30>>30 dollars worth of coins. You pay 5.1 dollars for auction fees. You have 30-5.1 = <<30-5.1=24.9>>24.9 dollars left after paying the auction fees. ### Answer: 24.9
Expected answer: 24.9000000000000
Correct? Yes
Problem: In the previous scenario, you discovered that you'd actually found 25 of these rare coins in your grandmother's house, not just 3. Each coin can still be sold for 10 dollars and the auction fees remain at 5.1 dollars. How much money will you have left after paying the auction fees?
LLemma 7B:
Reasoning: You have 25 coins. Each coin is worth 10 dollars. You have 25*10 = <<25*10=250>>250 dollars worth of coins. You pay 5.1 dollars for auction fees. You have 250-5.1 = <<250-5.1=244.9>>244.9 dollars left after paying the auction fees. ### Answer: 244.9
Expected answer: 244.900000000000
Correct? Yes
Problem: Maria saved $20 last week. This week, she saved an additional $22.88. How much money has Maria saved in total?
LLemma 7B:
Reasoning: Maria saved $20 + $22.88 = <<20+22.88=42.88>>$42.88 in total. ### Answer: $42.88
Expected answer: 42.8800000000000
Correct? Yes
Problem: In the previous problem, Maria saved $20 last week. Instead of saving an additional $22.88 this week, she was only able to save $17. Now, how much money has Maria saved in total?
LLemma 7B:
Reasoning: Maria saved $20 + $17 = <<20+17=37>>$37 in total. ### Answer: $37
Expected answer: 37
Correct? Yes
Problem: Jake has stopped into a boutique where shirts are priced at $33 each. He buys 2.4 times this amount in clothing. How much did he spend?
LLemma 7B:
Reasoning: Jake spent 2.4 * 33 = <<2.4*33=81>>81 dollars. ### Answer: 81
Expected answer: 79.2000000000000
Correct? No
Problem: Sarah has $36.4 in her savings account. She earns $19.0 by helping her neighbor with gardening. After adding this money to her account, she receives a surprise gift of $25 from her grandmother. How much money does she have now?
LLemma 7B:
Reasoning: Sarah has $36.4 + $19.0 = <<36.4+19.0=55.4>>55.4 in her savings account. She has $55.4 + $25.0 = <<55.4+25.0=80.4>>80.4 in her savings account. ### Answer: 80.4
Expected answer: 80.4000000000000
Correct? Yes
Problem: Suppose Sarah initially had $36.4 instead of $19.0 in her savings account. After her neighbor gave her an additional $19.0 for her help in the garden, and her grandmother gifted her $36, how much money does she now have in her account?
LLemma 7B:
Reasoning: Sarah has $36.4 + $19.0 = <<36.4+19.0=55.4>>55.4 in her savings account. She has $55.4 + $19.0 + $36.0 = <<55.4+19.0+36.0=100.4>>100.4 in her savings account. ### Answer: 100.4
Expected answer: 91.4000000000000
Correct? No
Problem: Jenny has saved $18 in her piggy bank and found another $40.44 under her bed. She also earned $48 from selling lemonade during summer. How much money does Jenny have in total?
LLemma 7B:
Reasoning: Jenny has saved $18 + $40.44 = <<18+40.44=58.44>>58.44 in her piggy bank. Jenny has found $40.44 under her bed. Jenny has earned $48 from selling lemonade during summer. Jenny has saved $18 + $40.44 + $48 = <<18+40.44+48=106.44>>106.44 in total. ### Answer: 106.44
Expected answer: 106.440000000000
Correct? Yes
Problem: Jenny realized that she actually found $49 under her bed instead of $40.44. Keeping in mind that she still has saved $18 in her piggy bank and earned $48 from selling lemonade during summer, how much money does Jenny now have in total?
LLemma 7B:
Reasoning: Jenny has saved $18 + $49 = <<18+49=67>>67 in her piggy bank. Jenny has earned $48 from selling lemonade during summer. Jenny has saved $18 + $49 + $48 = <<18+49+48=115>>115 in total. ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: Sarah has earned $38 per day over her first job. After several months, she managed to save up $24.71 for every $1 she earned. Additionally, she has $11.6 in her piggy bank from before she started working. How much money does she have in total?
LLemma 7B:
Reasoning: Sarah has $38+24.71=<<38+24.71=62.71>>62.71 in her piggy bank. Sarah has $38+24.71+11.6=<<38+24.71+11.6=64.31>>64.31 in total. ### Answer: 64.31
Expected answer: 950.580000000000
Correct? No
Problem: A car travels at a constant speed of 41.8 miles per hour for 23 hours. How many miles did the car travel?
LLemma 7B:
Reasoning: 41.8 x 23 = <<41.8*23=962.4>>962.4 miles ### Answer: 962.4
Expected answer: 961.400000000000
Correct? No
Problem: A farmer has a cow that produces 35.7 liters of milk every day. How much milk does the cow produce in 28 days?
LLemma 7B:
Reasoning: 35.7 x 28 = <<35.7*28=999.6>>999.6 liters ### Answer: 999.6
Expected answer: 999.600000000000
Correct? Yes
Problem: After producing milk for 28 days, the farmer sells 20 liters to a local cheese producer. How much milk does he have left?
LLemma 7B:
Reasoning: 999.6 - 20 = <<999.6-20=979.6>>979.6 liters ### Answer: 979.6
Expected answer: 979.600000000000
Correct? Yes
Problem: If the cow produced 19 liters of milk a day, instead of 35.7, how much would the cow produce in 28 days?
LLemma 7B:
Reasoning: 19 x 28 = <<19*28=532>>532 liters ### Answer: 532
Expected answer: 532
Correct? Yes
Problem: Mason had saved up $34 from his previous week's allowance. This week, he earned an extra $31.4 by doing some extra house chores. How much money does Mason have now in total?
LLemma 7B:
Reasoning: Mason has $34+$31.4 = <<34+31.4=65.4>>65.4 in total. ### Answer: 65.4
Expected answer: 65.4000000000000
Correct? Yes
Problem: Mason had saved up $34 from his previous week's allowance. This week, he earned an extra $31.4 by doing some extra house chores. After counting this, his grandma gave him another $27.4 as a gift. How much money does Mason have now in total?
LLemma 7B:
Reasoning: Mason has $34+$31.4+$27.4 = <<34+31.4+27.4=93>>93 in total. ### Answer: 93
Expected answer: 92.8000000000000
Correct? No
Problem: Rachel had 48 dollars. She spent 5.5 dollars on a new toy. How much money does Rachel have left?
LLemma 7B:
Reasoning: Rachel has 48-5.5 = <<48-5.5=42.5>>42.5 dollars left. ### Answer: 42.5
Expected answer: 42.5000000000000
Correct? Yes
Problem: Following her purchase, Rachel's mom gave her an additional 23 dollars. How much money does Rachel now have?
LLemma 7B:
Rachel now has 42.5+23 = <<42.5+23=65.5>>65.5 dollars. ### Answer: 65.5
Expected answer: 65.5000000000000
Correct? Yes
Problem: If the toy that Rachel bought originally cost 45 dollars instead of 5.5 dollars, how much money would Rachel have left after her purchase?
LLemma 7B:
Reasoning: Rachel would have 45-42.5 = <<45-42.5=2.5>>2.5 dollars left. ### Answer: 2.5
Expected answer: 3
Correct? No
Problem: A cyclist travels 506 kilometers in 11 days. How many kilometers does the cyclist travel each day?
LLemma 7B:
Reasoning: 506/11 = <<506/11=45>>45 kilometers The cyclist travels 45 kilometers each day. ### Answer: 45
Expected answer: 46
Correct? No