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?
Qwen2-Math 7B:
Reasoning: Maria drove 11.0 miles per hour for 6.7 hours, so she covered 11.0*6.7 = <<11.0*6.7=73.7>>73.7 miles. Maria then drove an additional 4.3 miles, so she covered a total of 73.7+4.3 = <<73.7+4.3=78>>78 miles. ### Answer: 78
Expected answer: 78.0000000000000
Correct? Yes
Problem: In the previous problem, suppose Maria was actually driving at an average speed of 11.0 miles per hour for 19 hours before she stopped for a break. After the break, she immediately continued for another 4.3 miles. What would then be the total distance in miles that Maria covered?
Qwen2-Math 7B:
Reasoning: Maria drove 11.0 miles per hour for 19 hours, so she covered 11.0*19 = <<11.0*19=209>>209 miles. Maria then drove an additional 4.3 miles, so she covered a total of 209+4.3 = <<209+4.3=213.3>>213.3 miles. ### Answer: 213.3
Expected answer: 213.300000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John had 1 dollar and multiplied it by 17, so he now has 1*17 = <<1*17=17>>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?
Qwen2-Math 7B:
Reasoning: John had 3 dollars and multiplied it by 17, so he now has 3*17 = <<3*17=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?
Qwen2-Math 7B:
Reasoning: You have $24.49 + $16 = <<24.49+16=40.49>>40.49 in your wallet. You have $40.49 + $47 = <<40.49+47=87.49>>87.49 from your parent. You have $87.49 + $25.93 = <<87.49+25.93=113.42>>113.42 in total. ### Answer: 113.42
Expected answer: 113.420000000000
Correct? Yes
Problem: In the previous scenario, instead of finding a $16 bill on the street, you found a $23 bill. How much money do you have in total now (considering the $47 you receive from your parent and the $25.93 in your savings account)?
Qwen2-Math 7B:
Reasoning: You have $24.49 + $23 = <<24.49+23=47.49>>47.49 in your wallet. You have $47.49 + $47 = <<47.49+47=94.49>>94.49 from your parent. You have $94.49 + $25.93 = <<94.49+25.93=120.42>>120.42 in total. ### Answer: 120.42
Expected answer: 120.420000000000
Correct? Yes
Problem: Danny had $49 saved up. He received $8 as a gift from his grandpa. How much money does Danny have now?
Qwen2-Math 7B:
Reasoning: Danny had $49. He received $8 as a gift from his grandpa. So, Danny has $49+$8 = <<49+8=57>>57 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?
Qwen2-Math 7B:
Reasoning: Danny had $57. He found $45. So, Danny has $57+$45 = <<57+45=102>>102 now. ### 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?
Qwen2-Math 7B:
Reasoning: Danny had $49. He received $17 as a gift from his grandpa. So, Danny has $49+$17 = <<49+17=66>>66 now. ### Answer: 66
Expected answer: 66
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The car travels 775.644/43.6 = <<775.644/43.6=17.79>>17.79 miles per gallon of fuel. ### Answer: 17.79
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?
Qwen2-Math 7B:
Reasoning: The car is falling short by 27 - 17.79 = <<27-17.79=9.21>>9.21 miles per gallon. ### Answer: 9.21
Expected answer: 9.21000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: If the car had 49 gallons of fuel, it would travel 775.644/49 = <<775.644/49=15.83>>15.83 miles per gallon of fuel. ### Answer: 15.83
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?
Qwen2-Math 7B:
Reasoning: Eva's garden is now 3+22.6 = <<3+22.6=25.6>>25.6 meters long. The area of Eva's garden is now 3*25.6 = <<3*25.6=76.8>>76.8 square meters. ### Answer: 76.8
Expected answer: 76.8000000000000
Correct? Yes
Problem: Now suppose that Eva decides to make her garden even bigger. She alters her plan, and now the first width of her garden is going to be 16 meters instead of 3 meters. After extending it by 22.6 meters just as before, she again stretches the garden out until it 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?
Qwen2-Math 7B:
Reasoning: Eva's garden is now 16+22.6 = <<16+22.6=38.6>>38.6 meters long. The area of Eva's garden is now 16*38.6 = <<16*38.6=617.6>>617.6 square meters. ### Answer: 617.6
Expected answer: 617.600000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The cyclist has to ride 8.9*19 = <<8.9*19=169.1>>169.1 miles for the race. The cyclist has to ride 169.1+38 = <<169.1+38=207.1>>207.1 miles in total. ### Answer: 207.1
Expected answer: 207.100000000000
Correct? Yes
Problem: In the previous cycling competition, the cyclist had to travel 41 miles each day for 19 days and received a bonus of 38 miles. How many miles in total did he have to travel for that race?
Qwen2-Math 7B:
Reasoning: The cyclist had to travel 41*19 = <<41*19=779>>779 miles each day. The cyclist had to travel 779+38 = <<779+38=817>>817 miles in total. ### Answer: 817
Expected answer: 817
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Bob travels 6.1 miles to the grocery store and 6.1 miles back home, so his total trip is 6.1+6.1 = <<6.1+6.1=12.2>>12.2 miles. Bob makes this trip 3 times a week, so he travels 12.2*3 = <<12.2*3=36.6>>36.6 miles in total. ### Answer: 36.6
Expected answer: 36.6000000000000
Correct? Yes
Problem: In addition to his trips to the grocery store, Bob also drives an extra 36 miles each week to visit his grandmother. Taking into account his trips to the grocery store and his visits to his grandmother, how many miles does Bob drive in total every week?
Qwen2-Math 7B:
Reasoning: Bob travels 36.6 miles to the grocery store and 36 miles to his grandmother, so he travels 36.6+36 = <<36.6+36=72.6>>72.6 miles in total every week. ### Answer: 72.6
Expected answer: 72.6000000000000
Correct? Yes
Problem: In a different scenario, Bob's grandmother lives 36 miles away, instead of the original distance. If Bob were still to visit her and return home three times a week, how many miles would he be driving in total just for these visits?
Qwen2-Math 7B:
Reasoning: Bob travels 36 miles to his grandmother's house and 36 miles back home, so his total trip is 36+36 = <<36+36=72>>72 miles. Bob makes this trip 3 times a week, so he travels 72*3 = <<72*3=216>>216 miles in total. ### Answer: 216
Expected answer: 216.000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: You will spend $863.2/33.2 = <<863.2/33.2=26>>26 each day. ### Answer: 26
Expected answer: 26.0000000000000
Correct? Yes
Problem: Following up on the previous scenario: suppose instead of spending your savings over 33.2 days, you decided to stretch the same amount over 47 days. How much would you have to spend each day now to keep within the same budget of $863.2?
Qwen2-Math 7B:
Reasoning: You would have to spend $863.2/47 = <<863.2/47=18.38>>18.38 each day. ### Answer: 18.38
Expected answer: 18.3659574468085
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Maria saved $32.5 + $34 = <<32.5+34=66.5>>$66.5 in total. Maria spent $7 + $7 = <<7+7=14>>$14 in total. Maria has $66.5 - $14 = <<66.5-14=52.5>>$52.5 left. ### Answer: 52.5
Expected answer: 52.5000000000000
Correct? Yes
Problem: After calculating the money left, Maria found an old wallet containing $38. How much money does Maria total have now?
Qwen2-Math 7B:
Maria now has $52.5 + $38 = <<52.5+38=90.5>>$90.5 in total. ### Answer: 90.5
Expected answer: 90.5000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The total cost of the fuel for the trip is $22.49 * 38.04 = <<22.49*38.04=855.9996>>$855.9996. ### Answer: $855.9996
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?
Qwen2-Math 7B:
Reasoning: You will earn $13 for 1 hour of work. ### 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?
Qwen2-Math 7B:
Reasoning: You earned $13 from your job and had $7 in individual donations. So, you had $13 - $7 = <<13-7=6>>6 dollars after subtracting 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?
Qwen2-Math 7B:
Reasoning: You would earn $4 for 1 hour of work. ### 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?
Qwen2-Math 7B:
Reasoning: The vehicle travels 367.8 miles on 15 gallons of gas. To find the number of miles the vehicle travels per gallon of gas, we divide the total number of miles by the number of gallons. 367.8 miles / 15 gallons = <<367.8/15=24.52>>24.52 miles per gallon. ### Answer: 24.52
Expected answer: 24.5200000000000
Correct? Yes
Problem: After finding the distance the vehicle travels per gallon of gas, if the number of miles it can travel per gallon is squared, what would be the resulting number?
Qwen2-Math 7B:
Reasoning: The vehicle travels 24.52 miles per gallon of gas. To find the resulting number, we square the number of miles the vehicle travels per gallon of gas. 24.52 miles per gallon * 24.52 miles per gallon = <<24.52*24.52=601.2304>>601.2304. ### Answer: 601.2304
Expected answer: 601.230400000000
Correct? Yes
Problem: If the vehicle's gas tank held 20 gallons instead of 15 gallons, but it still traveled 367.8 miles on a full tank, how many miles would the vehicle travel per gallon of gas now?
Qwen2-Math 7B:
Reasoning: The vehicle travels 367.8 miles on 20 gallons of gas. To find the number of miles the vehicle travels per gallon of gas, we divide the total number of miles by the number of gallons. 367.8 miles / 20 gallons = <<367.8/20=18.39>>18.39 miles per gallon. ### Answer: 18.39
Expected answer: 18.3900000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John has $16.9 + $19.0 + $3.0 = <<16.9+19.0+3.0=38.9>>$38.9. John has $38.9 now. ### Answer: $38.9
Expected answer: 38.9000000000000
Correct? Yes
Problem: After counting his money, John decides to deposit the money into his bank account. In the bank, he remembers that he already has $31.4 in his account. After depositing all of his money, how much does John have in his bank account?
Qwen2-Math 7B:
Reasoning: John has $38.9 + $31.4 = <<38.9+31.4=70.3>>$70.3. John has $70.3 in his bank account. ### Answer: $70.3
Expected answer: 70.3000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The drone can travel 7.8*24 = <<7.8*24=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?
Qwen2-Math 7B:
Reasoning: The drone can travel 7.8*24 = <<7.8*24=187.2>>187.2 km in 24 hours. After flying for 24 hours, the drone continues to fly an additional 31 km. The total distance traveled by the drone is 187.2 + 31 = <<187.2+31=218.2>>218.2 km. ### 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?
Qwen2-Math 7B:
Reasoning: The drone can travel 7.8*30 = <<7.8*30=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?
Qwen2-Math 7B:
Reasoning: Emily now has $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?
Qwen2-Math 7B:
Reasoning: Emily now has $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?
Qwen2-Math 7B:
Reasoning: Emily now has $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?
Qwen2-Math 7B:
Reasoning: James 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?
Qwen2-Math 7B:
Reasoning: John spent $8 from his savings account, so he has $37.3 - $8 = <<37.3-8=29.3>>$29.3 left 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?
Qwen2-Math 7B:
Reasoning: John spent $8 from his savings account, so he has $37.3 - $8 = <<37.3-8=29.3>>$29.3 left in his savings account. Later that day, his grandmother gives him $12.0 for his birthday, so he has $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?
Qwen2-Math 7B:
Reasoning: If John had $40 and spent $8, he would have $40 - $8 = <<40-8=32>>$32 left 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?
Qwen2-Math 7B:
Reasoning: Mary bought a dress for $45 but got a $8 discount. So, Mary paid $45-$8 = <<45-8=37>>37. Mary wants to buy the same dress for her 1.77 twin sisters. So, it will cost her $37*1.77 = <<37*1.77=65.49>>65.49. ### Answer: 65.49
Expected answer: 65.4900000000000
Correct? Yes
Problem: Suppose Mary originally found the dress for $31 but still got an $8 discount. If she still wants to buy the same dress for her 1.77 twin sisters, how much would it cost her now?
Qwen2-Math 7B:
Reasoning: Mary originally found the dress for $31 but got an $8 discount. So, Mary paid $31-$8 = <<31-8=23>>23. Mary still wants to buy the same dress for her 1.77 twin sisters. So, it will cost her $23*1.77 = <<23*1.77=40.71>>40.71. ### Answer: 40.71
Expected answer: 40.7100000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Harrison received a gift of $38.32 + $43 = <<38.32+43=81.32>>81.32. Harrison now has $43 + $81.32 = <<43+81.32=124.32>>124.32. ### Answer: 124.32
Expected answer: 124.320000000000
Correct? Yes
Problem: Suppose Harrison only had $43 in his bank account and he received another cash gift from his relatives which is $38.32 more than the original amount he had. If his grandmother didn't give him an extra $43, how much money does he have in his account now?
Qwen2-Math 7B:
Reasoning: Harrison received a gift of $38.32 + $43 = <<38.32+43=81.32>>81.32. Harrison now has $43 + $81.32 = <<43+81.32=124.32>>124.32. ### Answer: 124.32
Expected answer: 124.320000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Tom ran 8.4 miles, Jerry ran 43.4 miles, and Spike ran 31 miles more than Jerry. Spike ran 43.4+31 = <<43.4+31=74.4>>74.4 miles. The team ran 8.4+43.4+74.4 = <<8.4+43.4+74.4=126.2>>126.2 miles in total. ### Answer: 126.2
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?
Qwen2-Math 7B:
Reasoning: David should save 984.4/23 = <<984.4/23=42.8>>42.8 dollars each week. ### Answer: 42.8
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?
Qwen2-Math 7B:
Reasoning: David would have to save 28/23 = <<28/23=1.217391304347826>>1.217391304347826 dollars each week. ### Answer: 1.217391304347826
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?
Qwen2-Math 7B:
Reasoning: Zara saved $29 for 17 weeks, so she saved $29*17 = <<29*17=493>>493 in total 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?
Qwen2-Math 7B:
Reasoning: Zara saved $29 for 17 weeks, so she saved $29*17 = <<29*17=493>>493 in total for her trip. Then, she received an extra $31 from her grandma, so she now has $493+31 = <<493+31=524>>524 in total 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?
Qwen2-Math 7B:
Reasoning: With the adjusted saving plan, Zara would have saved $22 each week for 17 weeks, so she would have saved $22*17 = <<22*17=374>>374 in total for her trip. ### 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?
Qwen2-Math 7B:
Reasoning: Samuel will have 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?
Qwen2-Math 7B:
Reasoning: Samuel will need 43*22 = <<43*22=946>>946 liters of paint in total. ### Answer: 946
Expected answer: 946
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Samuel will have 176/29 = <<176/29=6.068965517241379>>6.068965517241379 liters of paint in each barrel. ### Answer: 6.068965517241379
Expected answer: 176/29
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The total cost of the shirts before the discount is 29*17 = <<29*17=493>>493 dollars. After the discount, Mark paid 493-1 = <<493-1=492>>492 dollars in total for the shirts. ### Answer: 492
Expected answer: 492
Correct? Yes
Problem: Following the previous situation, after buying the shirts, Mark decided to also purchase a tie which cost him $6.62. How much did he end up spending in total for the shirts and the tie?
Qwen2-Math 7B:
Reasoning: Mark spent 492+6.62 = <<492+6.62=498.62>>498.62 dollars in total for the shirts and the tie. ### Answer: 498.62
Expected answer: 498.620000000000
Correct? Yes
Problem: Going back to the initial scenario, suppose the number of shirts Mark bought was 39 instead of 29, with each shirt still costing $17. He still received a $1 discount on the total cost. How much did he pay in total for the shirts now?
Qwen2-Math 7B:
Reasoning: The total cost of the shirts before the discount is 39*17 = <<39*17=663>>663 dollars. After the discount, Mark paid 663-1 = <<663-1=662>>662 dollars in total for the shirts. ### Answer: 662
Expected answer: 662
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The total cost of the books is 9 * $27.99 = <<9*27.99=251.91>>$251.91. The total cost of Sarah's purchase is $251.91 + $9 = <<251.91+9=260.91>>$260.91. ### Answer: $260.91
Expected answer: 260.910000000000
Correct? Yes
Problem: After Sarah's purchase of books and the magazine, she decided to buy a board game which costs $30.3. What is the final total cost of Sarah's purchases?
Qwen2-Math 7B:
Reasoning: The final total cost of Sarah's purchases is $260.91 + $30.3 = <<260.91+30.3=291.21>>$291.21. ### Answer: $291.21
Expected answer: 291.210000000000
Correct? Yes
Problem: Suppose that instead of the books costing $27.99 each, they actually cost $50 each. Now, how much will the total cost be for the 9 books and the magazine?
Qwen2-Math 7B:
Reasoning: The total cost of the books is 9 * $50 = <<9*50=450>>$450. The total cost of Sarah's purchase is $450 + $9 = <<450+9=459>>$459. ### Answer: $459
Expected answer: 459
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Susan has 11+14 = <<11+14=25>>25 dollars in her purse after adding the money she found. Susan has 25+23 = <<25+23=48>>48 dollars now after earning more money from doing chores. ### 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Susan has 11+6 = <<11+6=17>>17 dollars in her purse after adding the money she found. Susan has 17+23 = <<17+23=40>>40 dollars now after earning more money from doing chores. ### Answer: 40
Expected answer: 40
Correct? Yes
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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Susan had $46-$45 = <<46-45=1>>1 dollar left after buying the toy robot. Her mother gave her $46, so now she has $1+$46 = <<1+46=47>>47 dollars. ### 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Alex has $35.79 + $8 = <<35.79+8=43.79>>43.79 now 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?
Qwen2-Math 7B:
Reasoning: Alex has $45 + $8 = <<45+8=53>>53 now 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?
Qwen2-Math 7B:
Reasoning: John now has $37+8 = <<37+8=45>>45 in his bank account. ### 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?
Qwen2-Math 7B:
Reasoning: John now has $45-4 = <<45-4=41>>41 in his bank account. ### Answer: 41
Expected answer: 41
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: Jim has $45.79 + $25.2 = <<45.79+25.2=70.99>>70.99 in his savings account. ### Answer: 70.99
Expected answer: 70.9900000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jim has $29 + $2.2 = <<29+2.2=31.2>>31.2 in his savings account. ### 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?
Qwen2-Math 7B:
Reasoning: John has $36.92 + $18.42 = <<36.92+18.42=55.34>>$55.34 now. ### 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?
Qwen2-Math 7B:
Reasoning: John has $36.92 + $6 = <<36.92+6=42.92>>$42.92 now. ### 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?
Qwen2-Math 7B:
Reasoning: Sarah had $38.45 in her savings account. She added another $39 to it, so she had $38.45 + $39 = <<38.45+39=77.45>>$77.45. Later, she received a gift of $44.5, so she had $77.45 + $44.5 = <<77.45+44.5=121.95>>$121.95. ### Answer: 121.95
Expected answer: 121.950000000000
Correct? Yes
Problem: Sarah decided to not deposit $39 but only a total of $31 to add to her existing savings of $38.45. If she still received the gift of $44.5, how much money does she now have in total?
Qwen2-Math 7B:
Reasoning: Sarah had $38.45 in her savings account. She added $31 to it, so she had $38.45 + $31 = <<38.45+31=69.45>>$69.45. Later, she received a gift of $44.5, so she had $69.45 + $44.5 = <<69.45+44.5=113.95>>$113.95. ### Answer: 113.95
Expected answer: 113.950000000000
Correct? Yes
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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Tom has $40.74 + $1 = <<40.74+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?
Qwen2-Math 7B:
Reasoning: Tom now 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?
Qwen2-Math 7B:
Reasoning: The car consumes 615/41 = <<615/41=15>>15 liters of gas every hour. In 30 hours, the car will consume 15*30 = <<15*30=450>>450 liters of gas. ### 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?
Qwen2-Math 7B:
Reasoning: The car consumed 450 liters of gas in 30 hours. But because of a leak, it lost 46.33 liters of that gas. So, the car has 450-46.33 = <<450-46.33=403.67>>403.67 liters of gas remaining. ### 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?
Qwen2-Math 7B:
Reasoning: The car consumes 615/23 = <<615/23=26.739130434782608>>26.739130434782608 liters of gas every hour. In 30 hours, the car will consume 26.739130434782608*30 = <<26.739130434782608*30=802.1739130434782>>802.1739130434782 liters of gas. ### Answer: 802.1739130434782
Expected answer: 18450/23
Correct? Yes
Problem: Emma has $38 in her wallet. After buying a book she only had $32.6 left. How much did the book cost?
Qwen2-Math 7B:
Reasoning: Emma had $38 - $32.6 = <<38-32.6=5.4>>5.4 left after buying the book. 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?
Qwen2-Math 7B:
Reasoning: Stacey spent 20+35 = <<20+35=55>>55 dollars on books and school supplies. The backpack cost 55+41 = <<55+41=96>>96 dollars. Stacey spent 55+96 = <<55+96=151>>151 dollars in all. ### Answer: 151
Expected answer: 96
Correct? No
Problem: A car completes a journey of 176.0 miles in 20.0 hours. How many miles does the car travel per hour?
Qwen2-Math 7B:
Reasoning: The car travels 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?
Qwen2-Math 7B:
Reasoning: Kaden has $9.9 + $30.3 = <<9.9+30.3=40.2>>$40.2 in his piggy bank now. ### Answer: 40.2
Expected answer: 40.2000000000000
Correct? Yes
Problem: Kaden thought back and realized he actually started with $13 in his piggy bank instead of $9.9 before adding the $30.3. How much money would he have had in his piggy bank then?
Qwen2-Math 7B:
Reasoning: Kaden would have had $13 + $30.3 = <<13+30.3=43.3>>$43.3 in his piggy bank. ### Answer: 43.3
Expected answer: 43.3000000000000
Correct? Yes
Problem: Joe had $42.9 in his wallet, but he spent $34. How much money does Joe have left in his wallet now?
Qwen2-Math 7B:
Reasoning: Joe has $42.9-$34 = <<42.9-34=8.9>>8.9 left in his wallet. ### 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Joe has $43-$34 = <<43-34=9>>9 left in his wallet. ### 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?
Qwen2-Math 7B:
Reasoning: The monthly installment for the car is $303.5756/19.51 = <<303.5756/19.51=15.57>>15.57. The total monthly payment for the car and insurance is $15.57 + $41.35 = <<15.57+41.35=56.92>>56.92. ### Answer: 56.92
Expected answer: 56.9100000000000
Correct? Yes
Problem: In addition to your monthly car payment and insurance, you also budget $7.4 each month for car maintenance. What, then, would be your total monthly expense related to your car taking into account payment for the car itself, insurance, and maintenance?
Qwen2-Math 7B:
Reasoning: The total monthly expense related to your car is $56.92 (car payment and insurance) + $7.4 (maintenance) = <<56.92+7.4=64.32>>64.32. ### Answer: 64.32
Expected answer: 64.3100000000000
Correct? Yes
Problem: What if instead of $303.5756, the total cost of your car was only $41, and you decided to pay it off in 19.51 equal monthly installments. If you still add $41.35 for your monthly car insurance, how much would be your total monthly spending for your car payment and insurance then?
Qwen2-Math 7B:
Reasoning: The monthly installment for the car is $41/19.51 = <<41/19.51=2.10>>2.10. The total monthly payment for the car and insurance is $2.10 + $41.35 = <<2.10+41.35=43.45>>43.45. ### Answer: 43.45
Expected answer: 43.4514864172219
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John has $28.2 + $8 = <<28.2+8=36.2>>$36.2 in total. ### 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?
Qwen2-Math 7B:
Reasoning: John has $35 + $8 = <<35+8=43>>$43 in total. ### 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Lisa has 30.3+5.9 = <<30.3+5.9=36.2>>36.2 acres of farmland now. Mona has the same amount of farmland as Lisa, so she also has 36.2 acres. Together, Lisa and Mona have 36.2+36.2 = <<36.2+36.2=72.4>>72.4 acres of farmland. ### Answer: 72.4
Expected answer: 72.4000000000000
Correct? Yes
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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: John has $41.17 + $20.9 = <<41.17+20.9=62.07>>62.07 in total. ### 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?
Qwen2-Math 7B:
Reasoning: Joanna will have saved 32.2*17.38 = <<32.2*17.38=560.096>>$560.096. ### Answer: 560.096
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?
Qwen2-Math 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: The student has $39.4 + $5 = <<39.4+5=44.4>>44.4 in his bank account. ### 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?
Qwen2-Math 7B:
Reasoning: After buying the toy, you had $38 - $3 = <<38-3=35>>35. After being given $40, you had $35 + $40 = <<35+40=75>>75. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: If originally, I had $46 instead of $38 and after I bought the same toy for $3, then I was given the exact same amount of $40. How much money do I have in total now?
Qwen2-Math 7B:
Reasoning: After buying the toy, you had $46 - $3 = <<46-3=43>>43. After being given $40, you had $43 + $40 = <<43+40=83>>83. ### Answer: 83
Expected answer: 83
Correct? Yes
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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Sally would have run 38.5+41 = <<38.5+41=79.5>>79.5 miles in the second week. ### Answer: 79.5
Expected answer: 79.5000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The farmer spends 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?
Qwen2-Math 7B:
Reasoning: The farmer spends $272.17 - $26 = <<272.17-26=246.17>>$246.17 after applying the coupon. ### Answer: $246.17
Expected answer: 246.170000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The cost for 17 bottles of the other pesticide would be 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?
Qwen2-Math 7B:
Reasoning: Jim spent $28 + $44.99 = <<28+44.99=72.99>>$72.99 in total. ### Answer: $72.99
Expected answer: 72.9900000000000
Correct? Yes
Problem: Jim spent $28 on groceries and then $44.99 on a new shirt. Later, he decided to buy a book for $18.16. How much money did he spend in total?
Qwen2-Math 7B:
Reasoning: Jim spent $28 + $44.99 + $18.16 = <<28+44.99+18.16=91.15>>$91.15 in total. ### Answer: $91.15
Expected answer: 91.1500000000000
Correct? Yes
Problem: In the first shopping trip, Jim spent $28 on groceries and then $44.99 on a new shirt. On a later trip, he spent $28 on groceries again, but this time he bought a different shirt for $41. How much money did he spend in total on the second trip?
Qwen2-Math 7B:
Reasoning: On the second trip, Jim spent $28 + $41 = <<28+41=69>>$69 on groceries and a shirt. ### Answer: $69
Expected answer: 69
Correct? Yes
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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: John would have $31 + $3 = <<31+3=34>>$34 in his savings account. ### 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?
Qwen2-Math 7B:
Reasoning: John has $19 + $5 = <<19+5=24>>24 in his wallet after finding $5. After adding the forgotten envelope, he has $24 + $27.97 = <<24+27.97=51.97>>51.97. He buys 17 comic books at $51.97 each, spending $51.97 * 17 = <<51.97*17=883.49>>883.49 in total. ### Answer: 883.49
Expected answer: 883.490000000000
Correct? Yes
Problem: Consider the same situation as before, but this time, John initially has $4 in his wallet instead of $19 and again he finds $5 on the street. After adding this to his wallet, he again discovers a forgotten envelope with $27.97 in it, which he also adds to his wallet. He then heads to the same collector's flea market. If he still purchases 17 vintage comic books, each at the new total amount in his wallet, how much does he spend this time on the comic books?
Qwen2-Math 7B:
Reasoning: John has $4 + $5 = <<4+5=9>>9 in his wallet after finding $5. After adding the forgotten envelope, he has $9 + $27.97 = <<9+27.97=36.97>>36.97. He buys 17 comic books at $36.97 each, spending $36.97 * 17 = <<36.97*17=628.49>>628.49 in total. ### Answer: 628.49
Expected answer: 628.490000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John has $35.6 - $32 = <<35.6-32=3.6>>3.6 left after buying the chocolate bar. John receives $46.3 from his friend, so he has $3.6 + $46.3 = <<3.6+46.3=49.9>>49.9 in his wallet. John's grandmother gives him an extra $12.9, so he has $49.9 + $12.9 = <<49.9+12.9=62.8>>62.8 in his wallet. ### Answer: 62.8
Expected answer: 62.8000000000000
Correct? Yes
Problem: Previously, John had $35.6 in his wallet and spent $32 on a chocolate bar. But what if instead, John had initially the same amount of money but decided to buy a different item that only cost $7. After these expenses, he received the same amount of $46.3 from his friend and $12.9 from his grandmother as in the previous situation. How much money does he have in his wallet in this scenario?
Qwen2-Math 7B:
Reasoning: John has $35.6 - $7 = <<35.6-7=28.6>>28.6 left after buying the different item. John receives $46.3 from his friend, so he has $28.6 + $46.3 = <<28.6+46.3=74.9>>74.9 in his wallet. John's grandmother gives him an extra $12.9, so he has $74.9 + $12.9 = <<74.9+12.9=87.8>>87.8 in his wallet. ### Answer: 87.8
Expected answer: 87.8000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The car's average mileage per gallon of gas used is 436.23179999999996/46.26 = <<436.23179999999996/46.26=9.43>>9.43 miles per gallon. ### Answer: 9.43
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?
Qwen2-Math 7B:
Reasoning: The car's average mileage per gallon of gas used is 436.23179999999996/17 = <<436.23179999999996/17=25.66>>25.66 miles per gallon. ### Answer: 25.66
Expected answer: 25.6606941176471
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: Sammy travels 6.4 * 43 = <<6.4*43=275.2>>275.2 miles in total. ### Answer: 275.2
Expected answer: 275.200000000000
Correct? Yes
Problem: After running for 43 hours at a speed of 6.4 mph, Sammy finds that his GPS unit was not fully calibrated and may overstate his distance by about 10 miles. What would be the revised distance he traveled according to the GPS?
Qwen2-Math 7B:
Reasoning: The revised distance is 275.2 - 10 = <<275.2-10=265.2>>265.2 miles. ### Answer: 265.2
Expected answer: 265.200000000000
Correct? Yes
Problem: If Sammy had only run for 2 hours instead of 43 at a speed of 6.4 mph, how far would he have travelled?
Qwen2-Math 7B:
Reasoning: Sammy would have travelled 6.4 * 2 = <<6.4*2=12.8>>12.8 miles in total. ### Answer: 12.8
Expected answer: 12.8000000000000
Correct? Yes
Problem: John has 50 dollars. He spent 24 dollars on a video game. How much money does John have left?
Qwen2-Math 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: David earns $46.37 * 14.28 = <<46.37*14.28=660.00>>$660.00. Robert earns $19.96 * 14.28 = <<19.96*14.28=284.00>>$284.00. Together, they earned $660.00 + $284.00 = <<660.00+284.00=944.00>>$944.00. ### Answer: 944.00
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?
Qwen2-Math 7B:
Reasoning: John has $6.3 + $39 = <<6.3+39=45.3>>$45.3. John has $45.3 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?
Qwen2-Math 7B:
Reasoning: John has $45.3 and Jacob has $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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Roger spent $47-$28.5 = <<47-28.5=18.5>>18.5 on lunch. ### 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?
Qwen2-Math 7B:
Reasoning: Roger's lunch cost in the new currency is $18.5 * 2.47 = <<18.5*2.47=45.895>>45.895. ### Answer: 45.895
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?
Qwen2-Math 7B:
Reasoning: Roger spent $45-$28.5 = <<45-28.5=16.5>>16.5 on lunch. ### 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?
Qwen2-Math 7B:
Reasoning: Jack has $29 + $10.28 = <<29+10.28=39.28>>$39.28 now. ### 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?
Qwen2-Math 7B:
Reasoning: Jack has $29 + $30 = <<29+30=59>>$59 now. ### Answer: 59
Expected answer: 59
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John had $18.4 - $3.73 = <<18.4-3.73=14.67>>14.67 left after buying the candy bar. John had $14.67 + $33.4 = <<14.67+33.4=48.07>>48.07 after his mom gave him money. John had $48.07 - $28 = <<48.07-28=20.07>>20.07 left after buying the video game. ### Answer: 20.07
Expected answer: 20.0700000000000
Correct? Yes
Problem: John originally had $18.4 in his wallet, but instead of spending $3.73 on a candy bar, what if he spent $9? Then his mom gave him $33.4 and he later spent $28 on a new video game. How much money does he have left now?
Qwen2-Math 7B:
Reasoning: John had $18.4 - $9 = <<18.4-9=9.4>>9.4 left after spending $9 on a candy bar. John had $9.4 + $33.4 = <<9.4+33.4=42.8>>42.8 after his mom gave him money. John had $42.8 - $28 = <<42.8-28=14.8>>14.8 left after buying the video game. ### Answer: 14.8
Expected answer: 14.8000000000000
Correct? Yes
Problem: Joseph paid $721.11 for 39 movie tickets. How much does each movie ticket cost?
Qwen2-Math 7B:
Reasoning: Each movie ticket costs $721.11/39 = <<721.11/39=18.50>>$18.50. ### Answer: $18.50
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?
Qwen2-Math 7B:
Reasoning: The customer spent 11.01*34.2 = <<11.01*34.2=377.22>>377.22 dollars on fruits. The customer spent an extra 7 dollars on snacks. The customer spent 377.22+7 = <<377.22+7=384.22>>384.22 dollars in total. ### Answer: 384.22
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?
Qwen2-Math 7B:
Reasoning: The car travels 48 km in 1 hour. In 3.6 hours, the car will have travelled 48*3.6 = <<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?
Qwen2-Math 7B:
Reasoning: The car traveled 172.8 km in 3.6 hours. After traveling an additional 30.0 km, the total distance traveled by the car is 172.8+30.0 = <<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?
Qwen2-Math 7B:
Reasoning: The car travels 46 km in 1 hour. In 3.6 hours, the car will have traveled 46*3.6 = <<46*3.6=165.6>>165.6 km. ### Answer: 165.6
Expected answer: 165.600000000000
Correct? Yes
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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: The cyclist covers 11.6 kilometers after resuming from the break each day. Over 7 days, the cyclist covers 11.6 * 7 = <<11.6*7=81.2>>81.2 kilometers. ### Answer: 81.2
Expected answer: 81.2000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The cyclist pedals 50.0 - 40 = <<50.0-40=10>>10 kilometers after resuming from the break each day. ### Answer: 10
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?
Qwen2-Math 7B:
Reasoning: The driver travels 67.66/17 = <<67.66/17=3.98>>3.98 miles in one hour. ### Answer: 3.98
Expected answer: 3.98000000000000
Correct? Yes
Problem: The delivery driver now realizes that his shift was 18 hours long, not 17 hours, for the 67.66-mile long journey. How far does he now calculate his average distance driven per hour?
Qwen2-Math 7B:
Reasoning: The driver now travels 67.66/18 = <<67.66/18=3.76>>3.76 miles in one hour. ### Answer: 3.76
Expected answer: 3.75888888888889
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Maria has $19 + $43 = <<19+43=62>>62 dollars after receiving the birthday money. Maria will have $62 - $40 = <<62-40=22>>22 dollars left after buying the book. ### 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?
Qwen2-Math 7B:
Reasoning: Maria has $19 + $28 = <<19+28=47>>47 dollars after receiving the birthday money. Maria will have $47 - $40 = <<47-40=7>>7 dollars left after buying the book. ### 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?
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: Mia has $41 + $24.7 = $65.7 in total. After buying the book, she has $65.7 - $38.6 = <<65.7-38.6=27.1>>$27.1 left. ### Answer: $27.1
Expected answer: 27.1000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: John spent 12+5 = <<12+5=17>>17 dollars on lunch and dessert. John spent 17+26 = <<17+26=43>>43 dollars in total. ### 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?
Qwen2-Math 7B:
Reasoning: John spent 43 dollars on raffle tickets. ### Answer: 43
Expected answer: 860.000000000000
Correct? No
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?
Qwen2-Math 7B:
Reasoning: John spent 12+5 = <<12+5=17>>17 dollars on lunch and dessert. John spent 17+49 = <<17+49=66>>66 dollars in total. ### 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?
Qwen2-Math 7B:
Reasoning: Laura deposited $23 on Monday and $44.5 on Tuesday. Laura deposited $23+$44.5 = <<23+44.5=67.5>>$67.5 in total over those two days. ### Answer: $67.5
Expected answer: 67.5000000000000
Correct? Yes
Problem: After depositing a total of $23 + $44.5 over two days, Laura decided to take out $9 for lunch. How much money does she have left in her account now?
Qwen2-Math 7B:
Reasoning: Laura deposited a total of $23 + $44.5 = <<23+44.5=67.5>>$67.5 over two days. Laura took out $9 for lunch. Laura has $67.5-$9 = <<67.5-9=58.5>>$58.5 left in her account now. ### Answer: $58.5
Expected answer: 58.5000000000000
Correct? Yes
Problem: Consider that initially, instead of depositing $23, Laura had only deposited $4 to her bank account on Monday, but still went ahead to deposit an additional $44.5 on Tuesday. How much money did she deposit in total over those two days?
Qwen2-Math 7B:
Reasoning: Laura deposited $4 on Monday and $44.5 on Tuesday. Laura deposited $4+$44.5 = <<4+44.5=48.5>>$48.5 in total over those two days. ### Answer: $48.5
Expected answer: 48.5000000000000
Correct? Yes
Problem: Peter has 11 dimes in his pocket. If each dime is worth $1, how much money does Peter have in total?
Qwen2-Math 7B:
Reasoning: Peter has 11 dimes, and each dime is worth $1. Peter has 11 * $1 = <<11*1=11>>$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?
Qwen2-Math 7B:
Reasoning: Peter has 11 dozen dimes, and each dozen is worth 12 dimes. Peter has 11 * 12 = <<11*12=132>>132 dimes. Peter has 132 * $1 = <<132*1=132>>$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?
Qwen2-Math 7B:
Reasoning: John has saved $43.36 * 13 = <<43.36*13=563.68>>$563.68 in total. ### Answer: $563.68
Expected answer: 563.680000000000
Correct? Yes
Problem: After saving $43.36 each week for 13 weeks, John received a surprise gift of $9.6 from his grandmother. How much money does he have in total now?
Qwen2-Math 7B:
Reasoning: John has $563.68 + $9.6 = <<563.68+9.6=573.28>>$573.28 in total now. ### Answer: $573.28
Expected answer: 573.280000000000
Correct? Yes
Problem: Instead of saving $43.36 each week, suppose John has been saving only $23 each week for the same duration of 13 weeks. How much money would he have saved by the end of this period?
Qwen2-Math 7B:
Reasoning: John would have saved $23 * 13 = <<23*13=299>>$299 in total. ### Answer: $299
Expected answer: 299
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Each quarter is worth 3.0 dimes, so 29 quarters are worth 29*3.0 = <<29*3.0=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?
Qwen2-Math 7B:
Reasoning: Peter divided his $85 among 5 friends, so each friend received $85/5 = <<85/5=17>>17. Each friend received $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?
Qwen2-Math 7B:
Reasoning: Mandy has $29.7 + $12.6 = <<29.7+12.6=42.3>>42.3 in total now. ### Answer: 42.3
Expected answer: 42.3000000000000
Correct? Yes
Problem: Mandy decided to buy a book that cost $19.79. How much money does she have left after buying the book?
Qwen2-Math 7B:
Reasoning: Mandy has $42.3 - $19.79 = <<42.3-19.79=22.51>>22.51 left after buying the book. ### Answer: 22.51
Expected answer: 22.5100000000000
Correct? Yes
Problem: Mandy's father decided to be more generous and instead gave her $31. How much money would she have in total then?
Qwen2-Math 7B:
Reasoning: Mandy would have $29.7 + $31 = <<29.7+31=60.7>>60.7 in total. ### Answer: 60.7
Expected answer: 60.7000000000000
Correct? Yes
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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: John has 52.57-38 = <<52.57-38=14.57>>14.57 dollars left in his savings. ### Answer: 14.57
Expected answer: 14.5700000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The bakery makes 10 loaves of bread every hour. In 36 hours, the bakery makes 10*36 = <<10*36=360>>360 loaves of bread. ### Answer: 360
Expected answer: 360
Correct? Yes
Problem: In the previous situation, where the bakery made 10 loaves of bread every hour for continuous 36 hours, if they decided to donate 45 loaves to a local food bank, how many loaves of bread would they have left?
Qwen2-Math 7B:
Reasoning: The bakery made 10*36 = <<10*36=360>>360 loaves of bread in 36 hours. After donating 45 loaves, the bakery would have 360-45 = <<360-45=315>>315 loaves of bread left. ### Answer: 315
Expected answer: 315
Correct? Yes
Problem: In the earlier situation, where the bakery made loaves of bread continuously for 36 hours and each hour they created 10 loaves, what if they improved their efficiency such that they now made 21 loaves every hour? How many loaves of bread would they produce in 36 hours with this increased efficiency?
Qwen2-Math 7B:
Reasoning: The bakery now makes 21 loaves of bread every hour. In 36 hours, the bakery makes 21*36 = <<21*36=756>>756 loaves of bread. ### Answer: 756
Expected answer: 756
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John has $30.02 + $38.9 = <<30.02+38.9=68.92>>$68.92 in total. ### 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?
Qwen2-Math 7B:
Reasoning: John has $30.02 + $38.9 = $68.92 in total. If he saves up six times the amount he has now, he will have 6 * $68.92 = <<6*68.92=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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: If you already finished 23.0 kilometers and 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?
Qwen2-Math 7B:
Reasoning: If you already finished 23.0 kilometers and 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: 40.2, 8
Expected answer: 8.00000000000000
Correct? No
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?
Qwen2-Math 7B:
Reasoning: If you had a longer route that was 48 kilometers before added to your already traveled distance of 23 kilometers, your total travel distance would have been 23+48 = <<23+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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: The car cools down by 21 miles of equivalent energy consumption, so 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: The train will travel 47.1*8 = <<47.1*8=376.8>>376.8 miles in 8 hours. ### 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?
Qwen2-Math 7B:
Reasoning: The final distance travelled by the train is 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?
Qwen2-Math 7B:
Reasoning: The train would travel 47.1*16 = <<47.1*16=753.6>>753.6 miles in 16 hours. ### 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?
Qwen2-Math 7B:
Reasoning: You have 18-3.4 = <<18-3.4=14.6>>14.6 health points remaining. Your character's strength level is 14.6*46 = <<14.6*46=671.6>>671.6. ### Answer: 671.6
Expected answer: 671.600000000000
Correct? Yes
Problem: In the previous scenario of the same online video game, before obtaining the artifact, you originally started with 13 health points instead of 18. 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. What would have been the strength level of your character after the enemy hit, but before obtaining the artifact, if you had originally started with 13 health points?
Qwen2-Math 7B:
Reasoning: You would have had 13-3.4 = <<13-3.4=9.6>>9.6 health points remaining. Your character's strength level would have been 9.6*46 = <<9.6*46=441.6>>441.6. ### Answer: 441.6
Expected answer: 441.600000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John had $37-$7.3 = <<37-7.3=29.7>>29.7 left in his bank account. He then put $29.7 into his wallet. So, he had $29.33+$29.7 = <<29.33+29.7=59.03>>59.03 in his wallet. ### Answer: 59.03
Expected answer: 59.0300000000000
Correct? Yes
Problem: John saw a sale on his favorite books and decided to buy 8 books using the money he had in his wallet. If each book cost the amount equal to the money he had in his wallet, how much did he spend on books?
Qwen2-Math 7B:
Reasoning: John had $59.03 in his wallet. He spent 8*$59.03 = <<8*59.03=472.24>>472.24 on books. ### Answer: 472.24
Expected answer: 472.240000000000
Correct? Yes
Problem: John initially thought he had $29.33 in his wallet, but it turns out he only had $5. After spending $7.3 out of his $37 bank balance, he again added the remaining money from his bank account to his wallet. Now, how much money does he have in his wallet?
Qwen2-Math 7B:
Reasoning: John had $37-$7.3 = <<37-7.3=29.7>>29.7 left in his bank account. He then put $29.7 into his wallet. So, he had $5+$29.7 = <<5+29.7=34.7>>34.7 in his wallet. ### Answer: 34.7
Expected answer: 34.7000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jenny had $48.6 in her savings account. On her birthday, she received $26 more, so she had $48.6 + $26 = <<48.6+26=74.6>>$74.6. After a few days, she spent $22 on a new book, so she had $74.6 - $22 = <<74.6-22=52.6>>$52.6. Jenny has $52.6 now in her savings account. ### 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?
Qwen2-Math 7B:
Reasoning: Jenny had $52.6 in her savings account. She spent $42 on a video game, so she had $52.6 - $42 = <<52.6-42=10.6>>$10.6 left in her account. Jenny has $10.6 left 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?
Qwen2-Math 7B:
Reasoning: Jenny had $48.6 in her savings account. On her birthday, she received $27 more, so she had $48.6 + $27 = <<48.6+27=75.6>>$75.6. After a few days, she spent $22 on a new book, so she had $75.6 - $22 = <<75.6-22=53.6>>$53.6. Jenny has $53.6 now in her savings account. ### 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?
Qwen2-Math 7B:
Reasoning: The car can travel 46.72 * 11.62 = <<46.72*11.62=540.0064>>540.0064 miles in 11.62 hours. The car can travel 540.0064 + 41 = <<540.0064+41=581.0064>>581.0064 miles in total. ### Answer: 581.0064
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?
Qwen2-Math 7B:
Reasoning: Jerry has $23.7 + $7.56 = <<23.7+7.56=31.26>>31.26 in his bank account after receiving the money from his mom. After buying a snack for $4.5, 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?
Qwen2-Math 7B:
Reasoning: Jerry needs $36 - $26.76 = <<36-26.76=9.24>>9.24 more dollars 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?
Qwen2-Math 7B:
Reasoning: Jerry has $19 + $7.56 = <<19+7.56=26.56>>26.56 in his bank account after receiving the money from his mom. After buying a snack for $4.5, Jerry has $26.56 - $4.5 = <<26.56-4.5=22.06>>22.06 left in his bank 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?
Qwen2-Math 7B:
Reasoning: You sold 3 coins for 10 dollars each, so you earned 3*10 = <<3*10=30>>30 dollars. After paying 5.1 dollars for auction fees, you have 30-5.1 = <<30-5.1=24.9>>24.9 dollars left. ### 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?
Qwen2-Math 7B:
Reasoning: You sold 25 coins for 10 dollars each, so you earned 25*10 = <<25*10=250>>250 dollars. After paying 5.1 dollars for auction fees, you have 250-5.1 = <<250-5.1=244.9>>244.9 dollars left. ### 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?
Qwen2-Math 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Jake bought 33*2.4 = <<33*2.4=79.2>>79.2 shirts. Jake spent 79.2*33 = <<79.2*33=2613.6>>2613.6 dollars. ### Answer: 2613.6
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?
Qwen2-Math 7B:
Reasoning: Sarah has $36.4 + $19.0 = <<36.4+19.0=55.4>>55.4 in her savings account after earning money from her neighbor. Sarah has $55.4 + $25 = <<55.4+25=80.4>>80.4 in her savings account after receiving the gift from her grandmother. ### 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?
Qwen2-Math 7B:
Reasoning: Sarah has $36.4 + $19.0 = <<36.4+19.0=55.4>>55.4 in her savings account after earning money from her neighbor. Sarah has $55.4 + $36 = <<55.4+36=91.4>>91.4 in her savings account after receiving the gift from her grandmother. ### Answer: 91.4
Expected answer: 91.4000000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jenny has $18+40.44 = <<18+40.44=58.44>>58.44 in her piggy bank and under her bed. Jenny has $58.44+48 = <<58.44+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?
Qwen2-Math 7B:
Reasoning: Jenny has $18+49 = <<18+49=67>>67 in her piggy bank and under her bed. Jenny has $67+48 = <<67+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?
Qwen2-Math 7B:
Reasoning: Sarah has $38 per day over her first job, so she has $38 * <<38*1=38>>1 = <<38*1=38>>38 dollars from her first job. She has $24.71 for every $1 she earned, so she has $24.71 * <<24.71*38=940.98>>38 = <<24.71*38=940.98>>940.98 dollars from her savings. She has $11.6 in her piggy bank from before she started working. Therefore, Sarah has $38 + $940.98 + $11.6 = <<38+940.98+11.6=990.58>>990.58 dollars in total. ### Answer: 990.58
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?
Qwen2-Math 7B:
Reasoning: The car traveled 41.8 miles/hour * 23 hours = <<41.8*23=961.4>>961.4 miles. ### Answer: 961.4
Expected answer: 961.400000000000
Correct? Yes
Problem: If the car was only traveling for 12 hours instead of 23 hours, at the same speed of 41.8 miles per hour, how many miles would the car travel?
Qwen2-Math 7B:
Reasoning: The car would travel 41.8 miles/hour * 12 hours = <<41.8*12=501.6>>501.6 miles. ### Answer: 501.6
Expected answer: 501.600000000000
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The cow produces 35.7 liters of milk every day. In 28 days, the cow produces 35.7*28 = <<35.7*28=999.6>>999.6 liters of milk. ### 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?
Qwen2-Math 7B:
Reasoning: The farmer has 999.6 liters of milk after 28 days. After selling 20 liters to a local cheese producer, the farmer has 999.6-20 = <<999.6-20=979.6>>979.6 liters of milk left. ### 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?
Qwen2-Math 7B:
Reasoning: If the cow produced 19 liters of milk a day, instead of 35.7, the cow would produce 19*28 = <<19*28=532>>532 liters of milk in 28 days. ### 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?
Qwen2-Math 7B:
Reasoning: Mason has $34+31.4 = <<34+31.4=65.4>>65.4 dollars 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?
Qwen2-Math 7B:
Reasoning: Mason has $34+31.4+27.4 = <<34+31.4+27.4=92.8>>92.8 dollars in total. ### Answer: 92.8
Expected answer: 92.8000000000000
Correct? Yes
Problem: Rachel had 48 dollars. She spent 5.5 dollars on a new toy. How much money does Rachel have left?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: Rachel would have 48-45 = <<48-45=3>>3 dollars left. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A cyclist travels 506 kilometers in 11 days. How many kilometers does the cyclist travel each day?
Qwen2-Math 7B:
Reasoning: The cyclist travels 506/11 = <<506/11=46>>46 kilometers each day. ### Answer: 46
Expected answer: 46
Correct? Yes