Mistral 7B on 4.MD.A.2-fraction
Common Core Standard 4.MD.A.2-fraction
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: Steve started with 38 dollars and spent it evenly over 8 days. Then he received an extra 11 dollars. John started with 18 dollars but then he spent the same amount of money as Steve had. John found 25 dollars on the street. How much money does John have now?
Mistral 7B:
Reasoning: 1. Steve spent 38/8 = <<38/8=4.75>>4.75 dollars per day for 8 days, so he spent 4.75*8 = <<4.75*8=38>>38 dollars in total. 2. Steve had 0 dollars left after spending, but he received an extra 11 dollars, so he now has 11 dollars. 3. John spent the same amount of money as Steve, so he spent 38 dollars. 4. John found 25 dollars on the street, so he now has 38+25 = <<38+25=63>>63 dollars. ### Answer: 63
Expected answer: 109/4
Correct? No
Problem: You have $45 in your wallet. You find a coin on the street worth $27/30. How much money do you have in total?
Mistral 7B:
Reasoning: The coin you found is a quarter, which is worth $0.25. You have $45 + $0.25 = <<45+0.25=45.25>>45.25 in total. ### Answer: 45.25
Expected answer: 459/10
Correct? No
Problem: John has $17 in his bank account. He finds a loose change on his desk that amounts to $8/37. How much money does he have in total?
Mistral 7B:
Reasoning: The fraction 8/37 represents the amount of money John found. To find the total amount of money John has, we add the money he had initially to the money he found. John has $17 + (8/37) * 100 (converting the fraction to a decimal by multiplying by 100) = $17 + 218.84852465753623 (rounded to 7 decimal places) ### Answer: $17.218848524657536 (rounded to 7 decimal places)
Expected answer: 637/37
Correct? No
Problem: Sally wants to measure the distance of her bike route. Initially, she hesitates and travels only 47/50 of a mile. Then, she gains confidence and rides another 31 miles. Every day for the next 28 days, she completes the same distance. One day, she decided to detour and added an extra 32/24 miles to her regular bike route. How many miles in total did she travel after adding the extra traveling distance?
Mistral 7B:
Reasoning: First, let's find out how many miles Sally traveled in the 28 days without the detour: Daily distance = 1 mile (since she completes the same distance every day) Total distance without detour = Daily distance * Number of days = 1 * 28 = <<1*28=28>>28 miles Now, let's find out how many miles she traveled during the detour: Detour distance = 32/24 miles Finally, let's add the total distance without the detour and the detour distance: Total distance = Total distance without detour + Detour distance = 28 + 32/24 = <<28+32/24=35.5>>35.5 miles ### Answer: 35.5
Expected answer: 67174/75
Correct? No
Problem: A train travels at a steady speed of 47 miles per hour for 4 hours. How far does the train travel in that time?
Mistral 7B:
Reasoning: The train travels 47 miles per hour for 4 hours, so it travels 47*4 = <<47*4=188>>188 miles. ### Answer: 188 miles.
Expected answer: 188
Correct? Yes
Problem: If instead of traveling for 4 hours initially, the train had traveled for 18 hours at the same speed of 47 miles per hour, how far would the train have traveled in that time?
Mistral 7B:
Reasoning: The train travels 47 miles per hour for 18 hours, so it travels 47*18 = <<47*18=856>>856 miles. ### Answer: 856 miles. utsch!
Expected answer: 846
Correct? No
Problem: A truck can travel a distance of 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, what is the total distance the truck can travel before running out of fuel? Then, if an additional 49 kilometers are added to the journey, what would be the total distance then?
Mistral 7B:
Reasoning: First, let's find out how many liters of fuel the truck needs to travel 34/25 kilometers: 34/25 liters of fuel can travel 34/25 km. To travel an additional 11 kilometers, the truck needs: (11 - 34/25) liters of fuel = (11 * 25/34 - 25) liters of fuel = (125/34 - 25) liters of fuel. Now, let's find the total distance the truck can travel before running out of fuel: Total distance = Initial distance + Additional distance = (34/25 + (125/34 - 25)) km. Simplify the expression: Total distance = (34/25 + (125 - 25*34/34))/34 km = (34/25 + 100)/34 km = 134/25 km. Now, let's find the total distance when an additional 49 kilometers are added: Total distance = Initial distance + Additional distance (first part) + Additional distance (second part) = (134/25 + 49)/34 km. Simplify the expression: Total distance = (134/25 + 49*34/34)/34 km = (134/25 + 49)/34 km = 183/25 km. ### Answer: 1. The truck can travel 134/25 kilometers before running out of fuel. 2. With an additional 49 kilometers, the truck can travel 183/25 kilometers.
Expected answer: 1534/25
Correct? No
Problem: John drank a special energy drink that increased his jogging speed. After the energy drink, he was able to jog 50/49 miles per hour faster. One day, he had a speed of 4/22 miles per hour without the use of the energy drink. After consuming the energy drink, at what rate would he jog if he continued for 46/30 hours?
Mistral 7B:
Reasoning: The increase in speed due to the energy drink is 50/49 miles per hour. John's speed without the energy drink is 4/22 miles per hour. The new speed with the energy drink is the sum of his original speed and the increase: (4/22) + (50/49) = (200+49)/99 = 249/99 miles per hour. To find the speed after 46/30 hours, we multiply the new speed by the time: (249/99) * (46/30) = (9636/297) miles. ### Answer: 9636/297 miles per hour.
Expected answer: 4968/2695
Correct? No
Problem: A truck driver starts his route with 9 gallons of gas in his tank. He stops at a station and adds to this tank another 21/36 gallons of gas. Later, he stops at another station and adds another 26/42 gallons of gas. How many gallons of gas total does the truck driver have now in his tank?
Mistral 7B:
Reasoning: First, let's find out how many gallons the truck driver added at the first station: 21/36 * 36 = <<21*36/36=21>>21 gallons. Then, let's find out how many gallons the truck driver added at the second station: 26/42 * 42 = <<26*42/42=26>>26 gallons. Now, let's add the initial amount of gas and the amounts added at both stations: 9 + 21 + 26 = <<9+21+26=56>>56 gallons. ### Answer: 56
Expected answer: 857/84
Correct? No
Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. How much money does he now have in total?
Mistral 7B:
Reasoning: John had 6 dollars initially, and he earned an additional 47/8 dollars. John now has 6 + (47/8) dollars in total. ### Answer: 6 + (47/8) = <<6+(47/8)=10.875>>10.875 dollars.
Expected answer: 95/8
Correct? Yes
Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. After that, his dad gives him an extra 41/10 dollars for cleaning the house. How much money does John now have in total?
Mistral 7B:
Reasoning: John had 6 dollars initially, then he earned an additional 47/8 dollars, and then he received an extra 41/10 dollars from his dad. John now has 6 + (47/8) + (41/10) dollars in total. ### Answer: 6 + (47/8) + (41/10) = <<6+(47/8)+(41/10)=11.4375>>11.4375 dollars.
Expected answer: 639/40
Correct? No
Problem: In the previous problem, John originally had 6 dollars in his pocket. But what if he initially had 33 dollars instead? If he then earns an additional 47/8 dollars from mowing his neighbor's lawn, how much money would he have now?
Mistral 7B:
Reasoning: John initially had 33 dollars, and he earned an additional 47/8 dollars. John now has 33 + (47/8) dollars in total. ### Answer: 33 + (47/8) = <<33+(47/8)=41.875>>41.875 dollars.
Expected answer: 311/8
Correct? Yes
Problem: Matthew has $29 saved up. He buys a toy robot for $5. After buying the toy, he receives $8 from his grandmother for his birthday. How much money does Matthew have now?
Mistral 7B:
Reasoning: Matthew spends $5 on the toy robot, leaving him with $29 - $5 = <<29-5=24>>24 dollars. Then, he receives $8 from his grandmother, adding $8 to his remaining money, resulting in $24 + $8 = <<24+8=32>>32 dollars. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?
Mistral 7B:
### Answer: The total cost of 9 barrels of oil is $16*9 = $<<16*9=144>>144.
Expected answer: 144
Correct? Yes
Problem: If the cost of a barrel of oil increases to $30, how much would it now cost for the refinery to buy the same 9 barrels of oil?
Mistral 7B:
### Answer: The new total cost of 9 barrels of oil is $30*9 = $<<30*9=270>>270. The increase in cost is $270 - $144 = $<<270-144=126>>126. ### Answer: The new total cost is $270 and the increase in cost is $126.
Expected answer: 270
Correct? No
Problem: Amy's garden is 11 feet long. She plans to expand it by 30 more feet. At the end of this expansion, she decided to further extend the garden by the length equivalent to 30 divided by 13 feet. What will be the total length of her garden after all the expansions?
Mistral 7B:
Reasoning: First, Amy expands her garden by 30 feet, making it 41 feet long. Then, she extends it by an additional length equivalent to 30/13 feet. To find this additional length, we need to multiply 30/13 by 13, which equals 3. So, the total length of the garden after the second expansion is 41 + 3 = <<41+3=44>>44 feet. ### Answer: 44
Expected answer: 563/13
Correct? No
Problem: John's house is (17 / 3) miles from his work. The supermarket is (25 / 41) miles closer to his work than his house. How far is the supermarket from his work?
Mistral 7B:
Reasoning: Let's first find the distance between the supermarket and John's house. Since the supermarket is (25 / 41) miles closer to his work than his house, we can express the distance between the supermarket and John's house as: Distance(supermarket - John's house) = Distance(John's house - work) - (25 / 41) We know that the distance between John's house and work is (17 / 3) miles. So, Distance(supermarket - John's house) = (17 / 3) - (25 / 41) To solve this equation, we need to find a common denominator for the fractions. The least common multiple of 3 and 41 is 123. So, we can rewrite the fractions as: (17 / 3) * (41 / 41) / 123 = (123 * 17) / (3 * 41) (25 / 41) * (3 / 3) / 123 = (3 * 25) / (41 * 123) Now, we can subtract the second fraction from the first: Distance(supermarket - John's house) = ((123 * 17) - (3 * 25)) / (3 * 41) Multiplying the numerator and denominator by 41 to eliminate the fraction: Distance(supermarket - John's house) = (5089 - 125) / 126 Now, we can simplify the fraction: Distance(supermarket - John's house) = 4964 / 126 Since the supermarket is (25 / 41) miles closer to John's work than his house, we can find the distance between the supermarket and work by adding this difference to the distance between the supermarket and John's house: Distance(supermarket - work) = Distance(supermarket - John's house) + (25 / 41) Plugging in the value we found for the distance between the supermarket and John's house: Distance(supermarket - work) = (4964 / 126) + (25 / 41) To solve this equation, we need to find a common denominator for the fractions. The least common multiple of 126 and 41 is 4964. So, we can rewrite the fractions as: (4964 / 126) * (41 / 41) / 4964 + (25 * 126) / (41 * 4964) Now, we can add the two fractions: (4964 * 41 + 25 * 126) / (126 * 41) Multiplying the numerator and denominator by 41 to eliminate the fraction: (199844 + 3150) / 5276 Now, we can simplify the fraction: Distance(supermarket - work) = 231344 / 5276 Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8: Distance(supermarket - work) = 2904 ### Answer: 2904
Expected answer: 622/123
Correct? No
Problem: A bank has $12 in one-dollar bills. They received an additional $36 from a deposit. After paying out $8, how much money does the bank now have in one-dollar bills?
Mistral 7B:
Reasoning: The bank initially had $12 in one-dollar bills. After receiving an additional $36, the bank now has $12 + $36 = <<12+36=48>>48 dollars. After paying out $8, the bank now has $48 - $8 = <<48-8=40>>40 dollars in one-dollar bills. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Following the previous scenario, suppose the bank received an uncommon payment of $19/11. How much money does the bank have now in one-dollar bills after this unusual deposit?
Mistral 7B:
Reasoning: The bank initially had $12 in one-dollar bills. After receiving an additional $36, the bank now has $12 + $36 = <<12+36=48>>48 dollars. To convert the uncommon payment of $19/11 to one-dollar bills, we can multiply it by 11 to get $19/11 * 11 = <<19/11*11=19+19/11=38.181818181818186>>38.18 (approximately). After paying out $8, the bank now has $48 - $8 = <<48-8=40>>40 dollars in one-dollar bills. After the unusual deposit of $19/11, the bank now has $40 + $19/11 = <<40+19/11=40+3.5454545454545455>>43.54 (approximately) in one-dollar bills. ### Answer: 43.54 (approximately) vessioLMS
Expected answer: 459/11
Correct? No
Problem: Following the previous scenario, suppose the bank had originally started with $12 in one-dollar bills. But this time, they received a smaller deposit of $22 instead of $36. After paying out the same $8, how much would the bank now have in one-dollar bills in this revised situation?
Mistral 7B:
Reasoning: The bank initially had $12 in one-dollar bills. After receiving an additional $22, the bank now has $12 + $22 = <<12+22=34>>34 dollars. After paying out $8, the bank now has $34 - $8 = <<34-8=26>>26 dollars in one-dollar bills. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Samantha has $28 in her bank account. Later, she found a few coins amounting to 46/41 dollars on the street and added them to her savings. How much money does she have now in her bank account?
Mistral 7B:
Reasoning: First, let's find the amount of money Samantha found on the street. Since the coins amount to 46/41 dollars, we can convert it to cents by multiplying by 100: 46/41 * 100 = 1116 cents. Next, we convert the cents back to dollars: 1116 cents / 100 = 11.16 dollars. Now, we add the money Samantha found to the initial amount in her bank account: $28 + $11.16 = $<<28+11.16=39.16>>39.16. ### Answer: 39.16
Expected answer: 1194/41
Correct? No
Problem: In a money counting contest, James had $37. Then his little brother gave him 14/19 of a dollar from his piggy bank. How much money does James have now?
Mistral 7B:
Reasoning: First, let's find out how much money James's little brother gave him. 14/19 of a dollar is equal to 14/19 * 1 = (14/19) * 100 cents = <<(14/19)*100=73.68421052631579>>73.68 cents. James had $37 initially, and now he has $37 + 0.73 = $<<37+0.73=37.73>>37.73. ### Answer: 37.73
Expected answer: 717/19
Correct? No
Problem: Sophia spends 40 dollars every 28 days to fill up her car's fuel tank. How much does she spend each day for her fuel?
Mistral 7B:
Reasoning: Sophia spends 40 dollars every 28 days, so she spends 40/28 = <<40/28=1.4285714285714285>>1.43 dollars per day (rounded to two decimal places). ### Answer: 1.43 dollars per day.
Expected answer: 10/7
Correct? No
Problem: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts. He then takes the juice from one part and pours it into a container. He then takes 34/44 of what is in that container and pours it into another container. How much juice is now in the second container?
Mistral 7B:
Reasoning: First, let's find out how much juice is in one part after Roberto split the juice into 17 equal parts. Total juice = 50 ounces Juice per part = Total juice / Number of parts = 50 / 17 = <<50/17=2.9411764705882358>>2.94 ounces per part (approximately) Now, Roberto takes juice from one part and pours it into a container. So, the amount of juice in the container is 2.94 ounces. Then, Roberto takes 34/44 of what is in that container and pours it into another container. Amount of juice in the second container = (34/44) * 2.94 ounces = (7/8) * 2.94 ounces = 2.175 ounces (approximately) ### Answer: 2.175 ounces (approximately)
Expected answer: 25/11
Correct? No
Problem: John wants to save some money to buy a video game. The game costs $40, but John already has $29. Every week, John is able to save 20/48 of the money he needs. After a certain period of time, he decides to put all his savings so far into an investment account. The account promises a return of 41/11 times the money invested after a year. How much money will John have in his investment account after a year?
Mistral 7B:
Reasoning: First, let's find out how much money John needs to save to buy the game: $40 - $29 = $11. Next, let's find out how much John saves per week: 20/48 of the money he needs = (20/48) * $11 = $1.25 per week. Now, let's find out how many weeks it takes for John to save enough money to buy the game: $11 / $1.25 = 8.64 weeks. Since John can't save a fraction of a week, we'll round up to 9 weeks. After 9 weeks, John will have saved $1.25 * 9 = $<<1.25*9=11.25>>11.25. Now, let's find out how much money John will have in his investment account after a year: $11.25 * 41/11 = $<<11.25*41/11=45.04545454545455>>45.05 (rounded to two decimal places). ### Answer: 45.05
Expected answer: 205/12
Correct? No
Problem: Maria starts with 13/3 euros in her pocket. She buys a candy bar that costs 32/15 euros. How much money does Maria have left?
Mistral 7B:
Reasoning: First, we find out how many 1/5 euros Maria has in her pocket. Since she has 13/3 euros, she has 13*(5/3) = <<13*(5/3)=130/3=43.333333333333336>>43.33 euros in 1/5 euros. Then, she buys a candy bar that costs 32/15 euros. To find out how many 1/5 euros the candy bar costs, we multiply 32/15 by 5/1, which gives us 32*(5/15) = <<32*(5/15)=20/3=6.666666666666667>>6.67 euros in 1/5 euros. Since Maria starts with 43.33 euros and spends 6.67 euros, she has 43.33 - 6.67 = <<43.33-6.67=36.66>>36.66 euros left. ### Answer: 36.66
Expected answer: 11/5
Correct? No
Problem: A carpenter cuts a piece of lumber into pieces that are each 45/44 meters long. How long would 20 pieces of such lumber be in total?
Mistral 7B:
Reasoning: Each piece of lumber is 45/44 meters long. 20 pieces of lumber would be 20*(45/44) = <<20*(45/44)=90>>90 meters long in total. ### Answer: 90
Expected answer: 225/11
Correct? No
Problem: A sprinter runs two sections of a race. The first part is run at a speed of 34 miles per 14 hours, and the second part is run at a speed of 21 miles per 26 hours. How much distance does the sprinter cover in one hour from both parts together?
Mistral 7B:
Reasoning: To find the speed of the sprinter for both parts combined, we can use the harmonic mean formula for two rates: Harmonic Mean = 2 * (Rate1 * Rate2) / (Rate1 + Rate2) Harmonic Mean = 2 * (34/14 * 21/26) / ((34/14) + (21/26)) Harmonic Mean = 2 * (34 * 21) / (34 + 21) * (26 * 14) / (26 * 14) Harmonic Mean = 2 * (34 * 21) / 55 * (26 * 14) / 364 Harmonic Mean = (684 * 364) / 55 * 364 Harmonic Mean = 253,472 / 55 Harmonic Mean = 4608.727272727273 miles per hour Since the question asks for the distance covered in one hour, we can multiply the combined speed by 1 hour: Distance = Harmonic Mean * 1 hour Distance = 4608.727272727273 miles ### Answer: 4608.73 miles
Expected answer: 589/182
Correct? No
Problem: Tom has $30 in his wallet and finds $14 on the ground. Later, he gets $25 as a birthday gift. How much money does Tom have now?
Mistral 7B:
Reasoning: Tom starts with $30, finds $14, and gets $25 as a birthday gift. So, he has $30 + $14 + $25 = <<30+14+25=69>>69 dollars now. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Following from the previous problem, now Tom decides to do some chores for his neighbor and earns an additional value equivalent to 37/33 dollars. How much money does Tom have now after receiving this additional amount?
Mistral 7B:
Reasoning: Tom already has $69, and he earns an additional $37/33 dollars. To find the total amount, we first convert the fraction to a decimal by dividing the numerator by the denominator: $37/33 = 1.12. So, Tom has $69 + $1.12 = <<69+1.12=70.12>>70.12 dollars now. ### Answer: 70.12
Expected answer: 2314/33
Correct? No
Problem: Jenny is on a running exercise. She ran for 41/32 miles in the first round, and then took a break. After resting, she ran for another 11/4 miles. How many miles in total did she run?
Mistral 7B:
Reasoning: First, we need to find out how many miles Jenny ran in the second round. To do this, we convert the fraction 11/4 to a common denominator with 32 (which is 128). So, (11/4)*(32/32) = 11*8 = 88 miles. Then, we add the miles she ran in the first round (41/32) and the miles she ran in the second round (88): (41/32 + 88). To add the fractions, we find a common denominator (which is 96). So, (41*3*4/32 + 88*4/32) = (123/32 + 352/32) = 475/32. To convert the mixed fraction to an improper fraction, we multiply the whole number part (1) by the denominator (32) and add it to the numerator (123): 1*32 + 123 = 155. So, Jenny ran a total of 155 + 88 = <<155+88=243>>243 miles. ### Answer: 243
Expected answer: 129/32
Correct? No
Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?
Mistral 7B:
Reasoning: John had $32 in his wallet initially. After finding a $33 bill, he now has $32 + $33 = <<32+33=65>>65 dollars. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Suppose that initially, John only had $3 in his wallet instead of $32 before he found the $33 bill. How much money would John have had in that case before buying the video game?
Mistral 7B:
Reasoning: If John initially had $3 in his wallet, after finding the $33 bill, he would have $3 + $33 = <<3+33=36>>36 dollars. However, we don't know how much the video game costs, so we can't determine how much money John would have had before buying the video game. ### Answer: We cannot determine the amount of money John would have had before buying the video game.
Expected answer: 36
Correct? No
Problem: Carrie rode her bike for 7 hours, and then another 38/25 of an hour. If she was able to cover 35 kilometers in each hour, how many kilometers did she cover in total?
Mistral 7B:
Reasoning: First, let's find out how many hours Carrie rode her bike in total. Total hours = 7 + (38/25) = 7 + 1.52 = 8.52 hours Now, let's calculate the total distance Carrie covered in 8.52 hours: Total distance = 8.52 * 35 = 296.7 kilometers ### Answer: 296.7 kilometers
Expected answer: 1491/5
Correct? No
Problem: John saved $17 in January. He then added $10 more for the month of February. How much total money has he saved after February?
Mistral 7B:
Reasoning: John saved $17 in January and $10 in February. John has saved $17 + $10 = <<17+10=27>>27 dollars after February. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: In March, John saved an additional $14. How much money does he have in total after saving in March?
Mistral 7B:
Reasoning: John saved $27 in February and $14 in March. John has saved $27 + $14 = <<27+14=41>>41 dollars after saving in March. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: If John initially saved $28 in January instead of $17 and added $10 more for the month of February as earlier, how much total money would he have saved after February?
Mistral 7B:
Reasoning: John saved $28 in January and $10 in February. John has saved $28 + $10 = <<28+10=38>>38 dollars after February. ### Answer: 38 utsch!
Expected answer: 38
Correct? Yes
Problem: A car travels 41 miles per hour on a trip that lasts 20/11 hours. How far did the car travel during this trip?
Mistral 7B:
Reasoning: To find the distance traveled, we multiply the speed by the time. So, the car traveled 41 miles/hour * 20/11 hours = <<41*(20/11)=34.545454545454546>>34.55 miles. ### Answer: 34.55 miles. (Rounded to two decimal places)
Expected answer: 820/11
Correct? No
Problem: Tony has 38 books in his collection. If each book cost him 21 dollars, how much money did he spend in total on his book collection?
Mistral 7B:
Reasoning: The total cost of the books is the number of books multiplied by the cost per book. Total cost = Number of books * Cost per book Total cost = 38 * 21 Total cost = <<38*21=798>>798 dollars ### Answer: 798 dollars
Expected answer: 798
Correct? Yes
Problem: In the previous problem, we considered that Tony has 38 books, each costing him 21 dollars. Now, consider that Tony actually spent 24 dollars on each book. How much money did Tony spend in total on his book collection now?
Mistral 7B:
Reasoning: The total cost of the books is the number of books multiplied by the cost per book. Total cost = Number of books * Cost per book Total cost = 38 * 24 Total cost = <<38*24=912>>912 dollars ### Answer: 912 dollars utschi
Expected answer: 912
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours?
Mistral 7B:
Reasoning: To find the total amount of gas used, we multiply the consumption rate by the time driven. Johnnie's car uses 16 liters/hour * 19 hours = <<16*19=304>>304 liters of gas if he drives continuously for 19 hours. ### Answer: 304
Expected answer: 304
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours? If Johnnie already had 17 liters of gas in his tank before starting the journey, how many more liters does he need to complete his drive?
Mistral 7B:
Reasoning: First, we find out how much gas Johnnie uses during the 19-hour drive: Johnnie's car uses 16 liters/hour * 19 hours = <<16*19=304>>304 liters of gas. Next, we subtract the gas he already had in his tank before starting the journey: Johnnie needs 304 - 17 = <<304-17=287>>287 more liters of gas to complete his drive. ### Answer: 287 287 more liters of gas
Expected answer: 287
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. In the previous problem, he was planning to drive for 19 hours. However, what if he is now planning to drive continuously for 39 hours instead? How many liters of gas would he need then?
Mistral 7B:
Reasoning: To find the total amount of gas needed, we multiply the consumption rate by the time driven. Johnnie's car uses 16 liters/hour * 39 hours = <<16*39=624>>624 liters of gas if he drives continuously for 39 hours. ### Answer: 624
Expected answer: 624
Correct? Yes
Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?
Mistral 7B:
Reasoning: To find out how many pamphlets Joe distributed on day 19, we multiply the number of pamphlets he distributed each day by the number of days he has been working. Joe distributed 19 * 40 = <<19*40=760>>760 pamphlets on day 19. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: After distributing pamphlets for 19 days, Joe realizes he made a mistake and had to destroy 5 of the pamphlets initially considered distributed. How many pamphlets has Joe actually distributed after accounting for this error?
Mistral 7B:
Reasoning: Since Joe had to destroy 5 pamphlets, we subtract those from the total number of pamphlets he distributed on day 19. Joe actually distributed 760 - 5 = <<760-5=755>>755 pamphlets after accounting for the error. ### Answer: 755
Expected answer: 755
Correct? Yes
Problem: Joe initially thought that he was supposed to distribute 40 pamphlets each day. However, he was actually supposed to distribute 27 pamphlets daily. Therefore, how many pamphlets should he have distributed after 19 days, excluding the ones he incorrectly distributed and had to destroy?
Mistral 7B:
Reasoning: To find out how many pamphlets Joe should have distributed on day 19, we multiply the correct number of pamphlets he was supposed to distribute each day by the number of days he has been working. Joe should have distributed 19 * 27 = <<19*27=507>>507 pamphlets on day 19. ### Answer: 507
Expected answer: 513
Correct? No
Problem: A farmer harvested 16/5 bushels of corn per acre. Meanwhile, the farmer has 42 acres of land but has to let 49/4 acres lie fallow. How many bushels of corn does the farmer harvest from the land that was not fallow?
Mistral 7B:
Reasoning: The farmer has 42 acres of land that is not fallow, so the number of bushels of corn harvested from this land is 42 \* (16/5) = <<42*(16/5)=52.4>>52.4 bushels. ### Answer: 52.4 bushels
Expected answer: 476/5
Correct? No
Problem: Jennifer is selling lemonade for a fundraiser. Every jug she sells contains 21 gallons of lemonade. Due to evaporation, when she sells the jugs she only receives 31/34 of the volume she originally had. How much lemonade does Jennifer have after selling a full jug?
Mistral 7B:
Reasoning: Jennifer sells 21 gallons of lemonade per jug. After selling a jug, she has 21*(31/34) = <<21*(31/34)=18.571428571428572>>18.571428571428572 gallons of lemonade left. ### Answer: 18.571428571428572 gallons
Expected answer: 651/34
Correct? No
Problem: Jane cycles at a rate of 11 km/h for 45 hours. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. How many kilometers in total does Jane cycle?
Mistral 7B:
Reasoning: First, let's find out how many kilometers Jane cycles in 45 hours at a rate of 11 km/h: 45 * 11 = <<45*11=495>>495 km. Then, Jane cycles an additional 1 km. So, the total distance Jane cycles is 495 + 1 = <<495+1=496>>496 km. ### Answer: 496
Expected answer: 496
Correct? Yes
Problem: After cycling the total distance as calculated earlier, Jane realizes she needs to get an object that is 30 km back from her current location. How many kilometers is the object from her starting point?
Mistral 7B:
Reasoning: Since Jane cycled a total of 496 km, she is 496 km away from her starting point. To get the object that is 30 km back from her current location, she needs to cycle 30 km in the opposite direction. So, the object is 496 - 30 = <<496-30=466>>466 km from her starting point. ### Answer: 466
Expected answer: 466
Correct? Yes
Problem: George had $21 in his wallet, then he found a bundle of change on the street worth $21/39. How much money does George have now?
Mistral 7B:
Reasoning: George had $21 in his wallet initially. He found a bundle of change worth $21/39, which is equivalent to $21/39 * 39 = <<21/39*39=5.41025641025641>>5.41 dollars. So, George now has $21 + 5.41 = <<21+5.41=26.41>>26.41 dollars. ### Answer: 26.41
Expected answer: 280/13
Correct? No
Problem: John is on a bike ride. He bikes 46 miles to the town of Baker, and then another 41 miles to the town of Nelson. How many total miles did John bike?
Mistral 7B:
Reasoning: John biked 46 miles to Baker and another 41 miles to Nelson. John biked a total of 46+41 = <<46+41=87>>87 miles. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: After cycling a total of 46 + 41 miles, John realized that he had miscounted. Instead of cycling 46 miles to the town of Baker, he had actually cycled only 8 miles. How many total miles did John bike when he reached the town of Nelson?
Mistral 7B:
Reasoning: John originally thought he biked 46 miles to Baker, but he actually biked 8 miles. So, he biked 46-8 = <<46-8=38>>38 miles to Baker. He then biked another 41 miles to the town of Nelson. John biked a total of 38+41 = <<38+41=79>>79 miles when he reached the town of Nelson. ### Answer: 79
Expected answer: 49
Correct? No
Problem: John earns 4 dollars per hour at his part-time job. If he works for 9 hours, how much money does John earn in total?
Mistral 7B:
Reasoning: John earns 4 dollars per hour, so he earns 4*9 = <<4*9=36>>36 dollars in total. ### Answer: 36 dollars.
Expected answer: 36
Correct? Yes
Problem: If John and his siblings each earn 4 dollars per hour but instead of working for 9 hours they worked for 39 hours, how much does each person earns individually?
Mistral 7B:
Reasoning: Each person earns 4 dollars per hour, so they earn 4*39 = <<4*39=156>>156 dollars in total. Since there are 4 siblings, each person earns 156/4 = <<156/4=39>>39 dollars individually. ### Answer: 39 dollars per person. utsch!
Expected answer: 156
Correct? No
Problem: Jack had 38 dollars. He then earned 41/48 of a dollar from recycling cans. The next day, he found a quarter (or 23/24 of a dollar) on the ground. How much money does Jack have now?
Mistral 7B:
Reasoning: First, let's find out how much money Jack earned from recycling cans: 41/48 \* 1 = 41/48 dollars Next, let's add the quarter he found: 41/48 + 23/24 = (41*24 + 23*48) / (48*24) = 987/192 dollars Finally, let's add the initial amount of money Jack had: 987/192 + 38 = (987 + 38*192) / 192 = 1025/192 dollars ### Answer: 1025/192 dollars
Expected answer: 637/16
Correct? No
Problem: Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. How far could she travel if her speed increased by a factor of 43/15?
Mistral 7B:
Reasoning: First, let's find the distance Jenny traveled at her original speed: Distance = Speed * Time = (32/24) * 29 = <<(32/24)*29=13.5>>13.5 hours. Now, let's find her new speed: New speed = Original speed * (1 + (43/15)) = (32/24) * (1 + (43/15)) = (32/24) * (15/15 + 43/15) = (32/24) * (16/15) = 16/5 miles per hour. Now, let's find the distance she could travel at the new speed: Distance = Speed * Time = (16/5) * 29 = <<(16/5)*29=112.8>>112.8 miles. ### Answer: 112.8
Expected answer: 4988/45
Correct? No
Problem: During an art class, students used liquid paint. Every child received 16/31 litres of paint. If there were 32 children in the class, what is the total amount of paint distributed to all the students?
Mistral 7B:
Reasoning: Each child received 16/31 litres of paint. The total amount of paint distributed to all the students is (16/31)*32 = <<(16/31)*32=10.064516129032258>>10.06 litres. ### Answer: 10.06 litres. (Rounded to two decimal places)
Expected answer: 512/31
Correct? No
Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. How much money does Bob have in total?
Mistral 7B:
Reasoning: The amount of money Bob receives is 3/7 of a dollar, which is equivalent to 3/7 * 100 cents = <<3/7\*100=42.85714285714286>>42 cents (rounded to two decimal places). Bob has $3 + 0.42 = <<3+0.42=3.42>>3.42 in total. ### Answer: 3.42
Expected answer: 24/7
Correct? No
Problem: Tom moved two rocks today. The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. If Tom can move rocks at a speed of 25/22 miles per hour, how far in miles did he move the rocks today?
Mistral 7B:
Reasoning: First, we need to find the time each rock was moved in hours. For the first rock, the time was 20/50 hours. For the second rock, the time was 45/36 hours. The total time Tom moved the rocks was (20/50 + 45/36) hours. To find the total distance Tom moved the rocks, we multiply the total time by the speed: (20/50 + 45/36) * (25/22) miles. ### Answer: (20/50 + 45/36) * (25/22) miles.
Expected answer: 15/8
Correct? No
Problem: A scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. She then removes 4/28 liters from this mixture. If she then decides to extract 11/29 of the remaining mixture for an experiment, how much solution is she using for her experiment?
Mistral 7B:
Reasoning: First, let's find the total volume of the initial mixture: 10/42 + 32 = <<(10/42)+32=32.42857142857143>>32.42857142857143 liters. Next, let's find the volume of the mixture that remains after removing 4/28 liters: 32.42857142857143 - 4/28 = <<32.42857142857143-4/28=32.375>>32.375 liters. Finally, let's find the volume of the mixture that the scientist uses for her experiment: 32.375 * 11/29 = <<32.375*11/29=3.549315068493151>>3.549315068493151 liters. ### Answer: 3.549315068493151 liters.
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
Mistral 7B:
Reasoning: The factory produces 24 chairs per hour, so in 1 hour it produces 1*24 = <<1*24=24>>24 chairs. In 25 hours, the factory would produce 25*24 = <<25*24=600>>600 chairs. ### Answer: 600
Expected answer: 600
Correct? Yes
Problem: One day, the factory decides to increase its production and manufactures 24 chairs per hour for 39 hours instead of the regular 25 hours. How many chairs would be produced in these 39 hours?
Mistral 7B:
Reasoning: The factory produces 24 chairs per hour, so in 1 hour it produces 1*24 = <<1*24=24>>24 chairs. In 39 hours, the factory would produce 39*24 = <<39*24=936>>936 chairs. ### Answer: 936 utsch!
Expected answer: 936
Correct? Yes
Problem: There are two containers of juice. The first one contains 23/35 gallon. The second one contains 50/41 gallon. After mixing the two containers of juice together, it was transferred into a bottle which can hold 28 gallons. How much space is left in the bottle after subtracting 11/19 gallon which was drunk by a customer?
Mistral 7B:
Reasoning: First, we find the total amount of juice in both containers by adding their contents: (23/35 + 50/41) gallons. To find a common denominator for the fractions, we can use the least common multiple (LCM) of 35 and 41, which is 210. We convert both fractions to have this common denominator: (23/35) * (6/6) + (50/41) * (5/5) = (138/210) + (250/210) = (388/210) gallons Now, we subtract the 11/19 gallons that were drunk by the customer: 388/210 - 11/19 = (388 - 11 * (210/19)) / 210 = (388 - 110) / 210 = 278 / 210 Finally, we find the fraction of the bottle that is filled: (278/210) / (28/1) = (278/210) * (1/28) = 1/210 Since the fraction is less than 1, the bottle is not completely full. To find the space left in the bottle, we subtract the fraction from 1: 1 - (1/210) = 210/210 - 1/210 = 209/210 ### Answer: The bottle has 209/210 gallons left.
Expected answer: 696468/27265
Correct? No
Problem: In a bakery, they charge $47 for a regular cake. However, for custom designs, they charge an additional fee of $6 divided by the 26 available designs. What is the total cost if you decide to buy a regular cake with a custom design?
Mistral 7B:
Reasoning: The cost of a regular cake is $47. For a custom design, the additional fee is $6/26 = $0.23. The total cost for a regular cake with a custom design is $47 + $0.23 = $<<47+0.23=47.23>>47.23. ### Answer: 47.23
Expected answer: 614/13
Correct? No
Problem: John bought a drone that can fly 3 kilometers, but when it's carrying a delivery package, it can only fly 50 / 43 kilometers less. When the drone is attached with an additional booster, it can fly an additional 47 / 15 kilometers. How far can the drone fly with the package and the additional booster attached?
Mistral 7B:
Reasoning: First, let's find out how far the drone can fly without the package. The drone can fly 3 kilometers. Next, let's find out how far the drone can fly with the package, which is 50/43 less than the distance without the package. So, the drone can fly 3 - (50/43) = 147/43 kilometers with the package. Finally, let's find out how far the drone can fly with the additional booster attached. The drone can fly an additional 47/15 kilometers with the booster. So, the drone can fly 147/43 + 47/15 kilometers with the package and the additional booster attached. ### Answer: 147/43 + 47/15 kilometers.
Expected answer: 3206/645
Correct? No
Problem: Ann runs 43/18 kilometers every morning and 22/9 kilometers every evening. How many kilometers does she run in a day?
Mistral 7B:
Reasoning: Ann runs 43/18 + 22/9 = <<(43/18+22/9)=(21*43+9*22)/(18*9)=(883+198)/162=1081/162>>1081/162 kilometers in a day. ### Answer: 1081/162 kfreebsd
Expected answer: 29/6
Correct? No
Problem: A car can travel 36 miles on a 1-gallon tank of gas. If the car has a 19-gallon tank, how far can it travel without needing to refuel?
Mistral 7B:
Reasoning: The car can travel 36 miles per gallon, and it has a 19-gallon tank. So, the car can travel 36*19 = <<36*19=684>>684 miles without needing to refuel. ### Answer: 684
Expected answer: 684
Correct? Yes
Problem: The car had previously been calculated to travel 36 miles per gallon over 19 gallons. However, the measurement turned out to be incorrect and it was actually 50 miles per gallon over the same 19 gallons fuel. What would be the total distance the car could travel on a full tank with this new mileage measurement?
Mistral 7B:
Reasoning: The car can now travel 50 miles per gallon, and it has a 19-gallon tank. So, the car can travel 50*19 = <<50*19=950>>950 miles on a full tank with the new mileage measurement. ### Answer: 950 utschke
Expected answer: 950
Correct? Yes
Problem: John drove 18 miles each hour for 36 hours. After that, he drove an extra distance of 32/45 miles. How many miles did he drive in total?
Mistral 7B:
Reasoning: First, let's find out how many miles John drove in the first 36 hours: 18 miles/hour * 36 hours = <<18*36=648>>648 miles. Next, let's find out how many miles he drove in the extra distance: 32/45 miles. Finally, let's add the two distances together: 648 miles + 32/45 miles = <<648+(32/45)=648+(0.7+0.2222222222222222+0.04444444444444444)=648.96666666666665>>648.97 miles (rounded to two decimal places). ### Answer: 648.97 miles.
Expected answer: 29192/45
Correct? No
Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?
Mistral 7B:
Reasoning: The car travels at a speed of 40/31 miles per minute. To find the distance traveled in 10 minutes, we multiply the speed by the time: (40/31) * 10 = <<(40/31)*10=12.903225806451613>>12.90 miles. ### Answer: 12.90 miles
Expected answer: 400/31
Correct? No
Problem: John has 21 dollars and his mom gives him 11 dollars more. How much money does John have now?
Mistral 7B:
Reasoning: John initially had 21 dollars. His mom gave him 11 dollars more. So, John now has 21+11 = <<21+11=32>>32 dollars. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: John has 21 dollars and his mom gives him 11 dollars more. Now, John's dad matches whatever amount John has. How much money does John's dad give him?
Mistral 7B:
Reasoning: John initially had 21 dollars, and his mom gave him 11 dollars more, making it 32 dollars in total. John's dad matches whatever amount John has, so he gives him 32 dollars as well. ### Answer: 32 utschke
Expected answer: 32
Correct? Yes
Problem: Samuel has $17. He finds $30 on the street. If he then converts all his money to Euros and the exchange rate is $47 to an equivalent of 33 Euros, how much money in Euros will he have now?
Mistral 7B:
Reasoning: First, let's find out how much money Samuel has in total after finding the $30 on the street. Total money = Initial money + Found money = $17 + $30 = $47 Now, we need to convert this amount to Euros using the given exchange rate of $47 to 33 Euros. Exchange rate = $47 / 33 = 1.42 Euros per dollar Total money in Euros = Total money in dollars * Exchange rate = $47 * 1.42 = <<47*1.42=66.94>>66.94 Euros ### Answer: 66.94 Euros
Expected answer: 2209/33
Correct? No
Problem: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. How many coins does she have in total?
Mistral 7B:
Reasoning: Hannah has 5 * 34 = <<5*34=170>>170 coins in total. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: Initially, Hannah thought she had 5 piggy banks with 34 coins each. Upon recounting, she finds that she actually has 5 piggy banks with 27 coins each. How many coins does she have in the piggy banks after correcting her count?
Mistral 7B:
Reasoning: Hannah initially thought she had 5 * 34 = <<5*34=170>>170 coins, but she actually has 5 * 27 = <<5*27=135>>135 coins. The difference between the initial count and the corrected count is 170 - 135 = <<170-135=35>>35 coins. Since Hannah has 5 piggy banks, the number of coins she found extra is 35 / 5 = <<35/5=7>>7 coins. After correcting her count, Hannah has 135 + 7 = <<135+7=142>>142 coins in the piggy banks. ### Answer: 142
Expected answer: 135
Correct? No
Problem: Alex has $13/10 in his pocket. He finds $47/36 on the floor and picks it up adding to the money he already has. If he duplicates the amount of money he has by 43 times, how much money will he have?
Mistral 7B:
Reasoning: First, let's find the amount of money Alex has after picking up the money on the floor. The amount of money Alex has after picking up the money on the floor is $13/10 + $47/36. To simplify the fraction, we can find the least common multiple of the denominators 10 and 36, which is 120. So, we can rewrite the fractions as: $13/10 = $13 * (120/120) / (10 * 120/120) = $13 * 12/10 * 1/120 = $1.5/120 $47/36 = $47 * (120/120) / (36 * 120/120) = $47 * 10/3 * 1/120 = $4.5/120 Now, we can add the amounts of money Alex has: $1.5/120 + $4.5/120 = $6/120 = $0.05 Now, Alex duplicates the amount of money he has by 43 times: $0.05 * 43 = $2.15 ### Answer: $2.15
Expected answer: 20167/180
Correct? No
Problem: John had saved 20 dollars for a new toy but accidentally lost 19 dollars. How much money does he left now?
Mistral 7B:
Reasoning: John had 20 dollars, but he lost 19 dollars. So, he has 20-19 = <<20-19=1>>1 dollar left. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Suppose that John originally had saved 26 dollars, but still lost 19 dollars. Now, how much money would he have left?
Mistral 7B:
Reasoning: John originally had 26 dollars, but he lost 19 dollars. So, he has 26-19 = <<26-19=7>>7 dollars left. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Richard bought a bottle of wine that had 33 ounces in it. He drank 33/48 of the wine. In the morning, he drank a cup of orange juice that contained 26/30 of a liter. After a few hours, he drank a bottle of water that contained 2/36 of a liter. What is the total volume of the liquid he consumed?
Mistral 7B:
Reasoning: First, let's convert the volume of the wine from ounces to liters: 33 ounces = 33/128 liters. Next, let's find the volume of the orange juice in liters: 26/30 liters. Then, let's find the volume of the water in liters: 2/36 liters = 1/18 liters. Finally, let's add up the volumes of the wine, orange juice, and water: (33/128 + 26/30 + 1/18) liters. ### Answer: (33/128 + 26/30 + 1/18) liters.
Expected answer: 16999/720
Correct? No
Problem: Jacob has $43 in his savings account and he adds $46 to his account. A few days later, he receives an additional $27/9 from his aunt. How much money does he have in his savings account now?
Mistral 7B:
Reasoning: First, Jacob adds $46 to his account, making his total $43+46 = <<43+46=89>>89. Then, he receives $27/9 from his aunt, which is equivalent to $27/9 * 9 = <<27*9/9=27>>27. Finally, Jacob has $89 + 27 = <<89+27=116>>116 in his savings account now. ### Answer: 116
Expected answer: 92
Correct? No
Problem: Jacob has $35 on his gift card. He buys a toy for $22. How much money does he have left on his gift card after buying the toy?
Mistral 7B:
Reasoning: Jacob spends $22 on the toy, leaving him with $35 - $22 = <<35-22=13>>13 dollars on his gift card. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Following up on Jacob's purchase, his grandmother gives him $36 more to add to his remaining gift card balance. How much money does Jacob now have on his gift card after receiving money from his grandmother?
Mistral 7B:
Reasoning: Jacob now has $13 (from the remaining balance) + $36 (from his grandmother) = <<13+36=49>>49 dollars on his gift card. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Considering a variation on the previous problem, suppose Jacob initially had $35 on his gift card, but this time he decides to buy a game that costs $15 instead of the toy. How much money would he have left on his gift card after this purchase?
Mistral 7B:
Reasoning: Jacob spends $15 on the game, leaving him with $35 - $15 = <<35-15=20>>20 dollars on his gift card. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: James initially had 32 dollars. He then spent 36/5 dollars on a notepad. How many dollars does he have left after his purchase?
Mistral 7B:
Reasoning: To find out how many dollars James spent on the notepad, we first need to find out how many cents he spent and then convert it back to dollars. 36/5 = 7.2 cents. Since 1 dollar equals 100 cents, 7.2 cents is equal to 72/100 dollars. James spent 32 - 72/100 = 32 - 0.72 = 31.28 dollars. ### Answer: 31.28 dollars
Expected answer: 124/5
Correct? No
Problem: Tina spent 39 dollars on groceries. Due to a discount offer, she only had to pay 16/26 of this amount. How much money did Tina pay for the groceries?
Mistral 7B:
Reasoning: The discounted amount Tina had to pay is 39 \* (16/26) = <<39*(16/26)=13.46>>13.46 dollars. Since Tina paid the full amount without the discount, she paid 39 - 13.46 = <<39-13.46=25.54>>25.54 dollars for the groceries. ### Answer: 25.54 dollars.
Expected answer: 24
Correct? No
Problem: Jaden has $19 in his savings account. If his mother gives him $10 more, what will be the total amount in his savings account?
Mistral 7B:
Reasoning: Jaden's savings account will have $19 + $10 = <<19+10=29>>29 dollars. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: John buys 17 pounds of apples every 8 days. He began noticing that his apples lasts about as long as 48 ounces of apple juice, which he happens to consume every 42 days. Calculate the rate of John's apple to apple juice consumption.
Mistral 7B:
Reasoning: First, let's find out how many ounces of apple juice John consumes in 8 days. Since he consumes 48 ounces every 42 days, in 8 days he consumes 48/42 * 8 = <<48/42*8=16>>16 ounces of apple juice. Next, let's find out how many pounds of apples John buys in 8 days. Since he buys 17 pounds every 8 days, in 8 days he buys 17 pounds. Now, let's find the ratio of apples to apple juice that John consumes in 8 days. The ratio is (17 pounds of apples) / (16 ounces of apple juice) = <<17/16>>17/16. ### Answer: The rate of John's apple to apple juice consumption is 17/16.
Expected answer: 119/64
Correct? No
Problem: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. In another trip, she initially had 38 dollars for gas but spent 50/4 dollars on gas. What is the summation of the total miles Maria drove and the remaining amount of money she had for gas?
Mistral 7B:
Reasoning: In the first trip, Maria drove 8*(4/7) = <<8*(4/7)=8/7>>8/7 miles. In the second trip, she drove 38 - (50/4) = <<38-(50/4)=(152-50)/4=102/4>>102/4 miles. The total miles Maria drove are 8/7 + 102/4 = <<(8/7)+(102/4)=(32+102)/4=134/4>>134/4 miles. The remaining amount of money Maria had for gas is 38 - (50/4)*4 = <<38-(50/4)*4=38-50=(-12)>>-12 dollars. ### Answer: The total miles Maria drove are 134/4 miles. The remaining amount of money she had for gas is -12 dollars.
Expected answer: 421/14
Correct? No
Problem: A runner is training for a marathon and runs 17 miles each day. If they run the same distance for 49 days, how many miles will they have run in total?
Mistral 7B:
Reasoning: The runner runs 17 miles each day for 49 days. Total distance = Distance per day * Number of days = 17 miles/day * 49 days = <<17*49=803>>803 miles. ### Answer: 803
Expected answer: 833
Correct? No
Problem: A toy car travels 37 kilometers on a single tank of fuel. However, after a modification, the toy car can now travel an additional 33/40 of a kilometer. What is the total distance the toy car can now travel on a single tank of fuel after the modification?
Mistral 7B:
Reasoning: The toy car can travel an additional 33/40 of a kilometer after the modification. To find the total distance the toy car can travel after the modification, we add the original distance (37 kilometers) to the additional distance (33/40 of a kilometer). To add the additional distance, we first convert it to a decimal by multiplying 33/40 by 10/10 (since 10/10 = 1). 33/40 * 10/10 = 7.75 kilometers Now, we add the original distance (37 kilometers) to the additional distance (7.75 kilometers): 37 + 7.75 = <<37+7.75=44.75>>44.75 kilometers ### Answer: 44.75 kilometers
Expected answer: 1513/40
Correct? No
Problem: John traveled for 1/31 of an hour by car and then took a bus for another 30/12 hours. After taking a short break of 17/4 hours, how long in total was John on the move?
Mistral 7B:
Reasoning: First, convert the time units to a common denominator (36 hours). Time traveled by car: (1/31)*36 = <<(1/31)*36=1.1>>1.1 hours Time taken by bus: 30/12 * (36/4) = 30*3 = <<30*3=90>>90 hours Time taken for the short break: 17/4 * 36 = 132/4 = <<132/4=33>>33 hours Total time John was on the move: 1.1 + 90 + 33 = <<1.1+90+33=124.1>>124.1 hours ### Answer: 124.1 hours
Expected answer: 841/124
Correct? No
Problem: In a certain village, the well is 45 miles away. However, every hour, a donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. After 1 hour, what is the effective distance of the well from the village?
Mistral 7B:
Reasoning: After 1 hour, the donkey has carried water back from the well, reducing the distance by 18/33 miles. So, the effective distance of the well from the village after 1 hour is 45 - (18/33) = <<45-(18/33)=44.515151515151516>>44.5 miles. ### Answer: 44.5 miles (approximately)
Expected answer: 489/11
Correct? No
Problem: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream. After buying the ice cream, she used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?
Mistral 7B:
Reasoning: First, let's find out how much money Clara had left after buying the ice cream. Money left = Initial money - Money spent on ice cream Money left = 30 - (25/6) Money left = (30*6 - 25) / 6 = 120/6 - 25/6 = 20 - 25/6 Now, let's find out how much money Clara spent on the book. Money spent on the book = Money left * Money spent on the book as a fraction of the remaining money Money spent on the book = (20 - 25/6) * (11/21) Money spent on the book = (20*11 - 25*11)/6*21 = (220 - 255)/6*21 = -35/6*21 = -35*3.5 = <<-35*3.5=122.5>>122.5 dollars ### Answer: 122.5
Expected answer: 1705/126
Correct? No
Problem: John walked 10 miles every day for 2 weeks. After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk in total?
Mistral 7B:
Reasoning: John walked 10 miles per day for 14 days (2 weeks have 7 days each). So, he walked 10*14 = <<10*14=140>>140 miles in the first 14 days. He still needed to walk 21 miles, so he had to walk 140+21 = <<140+21=161>>161 miles in total. ### Answer: 161
Expected answer: 161
Correct? Yes
Problem: In the previous journey, John decided to increase his daily walking distance. He walked for 14 miles instead of 10 each day for seven weeks. After the seven weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk this time to reach his destination?
Mistral 7B:
Reasoning: John walked 14 miles per day for 7*7 = <<7*7=49>>49 days (7 weeks have 7 days each). So, he walked 14*49 = <<14*49=686>>686 miles in the first 49 days. He still needed to walk 21 miles, so he had to walk 686+21 = <<686+21=707>>707 miles in total. ### Answer: 707
Expected answer: 707
Correct? Yes
Problem: Susan has 48 dollars in her pocket. She goes to a store and buys a toy. The toy cost is 18 dollars plus 41/14 dollars for tax. How much money does she have left after buying the toy?
Mistral 7B:
Reasoning: First, let's find the total cost of the toy, including tax: 18 + (41/14) = 18 + (41/14) * (7/7) = 18 + (41*7)/14 = 18 + 28.57 = 46.57 dollars. Susan has 48 - 46.57 = <<48-46.57=1.43>>1.43 dollars left after buying the toy. ### Answer: 1.43
Expected answer: 379/14
Correct? No
Problem: Jamie deposited $47 in her bank account. The bank then added a bonus of 47/41 dollars to her account. How much money does Jamie now have in her bank account?
Mistral 7B:
Reasoning: The bonus added to Jamie's account is 47/41 dollars. Jamie now has $47 + (47/41) dollars in her bank account. To find the decimal equivalent of the bonus, we can convert the fraction to a decimal: 47/41 = 1.146346... So, the decimal equivalent of the bonus is 1.146346... Jamie now has $47 + 1.146346... = $48.146346... dollars in her bank account. ### Answer: 48.146346... dollars.
Expected answer: 1974/41
Correct? No
Problem: Walter pays 23/21 dollars for a pen. After buying the pen, he still has 46 dollars left. How much money did he have originally?
Mistral 7B:
Reasoning: Let's denote the original amount of money Walter had as x dollars. The equation representing the situation is: (x - 23/21) = 46 To solve for x, we first multiply both sides of the equation by 21 to eliminate the fraction: 21(x - 23/21) = 21 * 46 This simplifies to: 21x - 23 = 916 Now, we add 23 to both sides of the equation to isolate x: 21x = 939 Finally, we divide both sides of the equation by 21 to find the original amount of money Walter had: x = 939 / 21 ### Answer: 44.67 (rounded to two decimal places)
Expected answer: 989/21
Correct? No
Problem: A farmer harvests honey and sells it in kilograms. In a day, the farmer on average harvests 44/10 kilograms from each beehive. If there are 37 beehives, how many kilograms honey does he harvest in a day? If he sells 3/37 of the total honey harvested in a day, how many kilograms of honey does he sell?
Mistral 7B:
Reasoning: The farmer harvests 44/10 * 37 = <<44/10*37=143.8>>143.8 kilograms of honey in a day. He sells 143.8 * 3/37 = <<143.8*3/37=3>>3 kilograms of honey. ### Answer: The farmer harvests 143.8 kilograms of honey in a day and sells 3 kilograms of honey.
Expected answer: 66/5
Correct? No
Problem: Jessica earns 29 dollars per hour. If she works for 14 hours, how much money will she have earned?
Mistral 7B:
Reasoning: Jessica earns 29 dollars per hour. Jessica earns 29*14 = <<29*14=396>>396 dollars in total. ### Answer: 396 dollars.
Expected answer: 406
Correct? No
Problem: Tim has a quirky old car with a very unusual fuel consumption - it uses 41/39 liters of fuel per minute. If he drives for 47 minutes, how many litres of fuel will he have consumed?
Mistral 7B:
Reasoning: Tim's car consumes (41/39) liters of fuel per minute. To find out how many liters of fuel he consumes in 47 minutes, we multiply the consumption rate by the time: (41/39) * 47 = <<(41/39)*47=137.9513>>137.9513 liters. ### Answer: 137.9513 liters
Expected answer: 1927/39
Correct? No
Problem: A cargo ship carries 17 / 26 tons of cargo for every one of its 39 containers. It already has an existing cargo load of 50 / 11 tons. What is the total tonnage of the cargo on the ship after it loads all 39 containers?
Mistral 7B:
Reasoning: The cargo added to the ship by each container is 17/26 tons. The existing cargo load is 50/11 tons. The total cargo on the ship after loading all 39 containers is the sum of the existing cargo load and the cargo added by each container. Total cargo = (50/11) + (39 * (17/26)) = (50/11) + (39 * (17/26)) / 1 = (50/11) + (39 * 17) / 26 = (50/11) + (663/26) = (50*26 + 663*11) / (11*26) = 1300/66 ≈ 19.79 tons. ### Answer: Approximately 19.79 tons.
Expected answer: 661/22
Correct? No
Problem: Jessie has $34 in savings, and then she receives $20 from her grandma. How much money does she have now?
Mistral 7B:
Reasoning: Jessie had $34 in savings, and then she received $20 from her grandma. Jessie now has $34 + $20 = <<34+20=54>>54 dollars. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Jessie decides to save her money for 13 weeks. Each week, she saves an amount equal to the sum of her initial savings and the money she received from her grandma. How much money does she save in total after 13 weeks?
Mistral 7B:
Reasoning: Jessie's initial savings were $34, and she received $20 from her grandma. So, she started with $34 + $20 = <<34+20=54>>54 dollars. Each week, she saves an amount equal to her initial savings plus the money she received from her grandma, which is $54. After 13 weeks, she saves 13 * $54 = <<13*54=693>>693 dollars in total. ### Answer: 693
Expected answer: 702
Correct? No
Problem: Instead of starting with $34, suppose Jessie initially had $45 in savings. She still receives $20 from her grandma. How much money does she have now?
Mistral 7B:
Reasoning: Jessie initially had $45 in savings, and then she received $20 from her grandma. Jessie now has $45 + $20 = <<45+20=65>>65 dollars. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?
Mistral 7B:
Reasoning: Derek had $42 before his grandmother gave him $7. Derek now has $42 + $7 = <<42+7=49>>49 dollars in total. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Now suppose Derek originally had $42, but his grandmother gave him $12 instead of $7. How much money does Derek have now?
Mistral 7B:
Reasoning: Derek had $42 before his grandmother gave him $12. Derek now has $42 + $12 = <<42+12=54>>54 dollars in total. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A man spends 43 dollars on groceries but gets a discount of 43/27 dollars. Later, he buys a book worth 13/36 dollars. How much money did he spend in total?
Mistral 7B:
Reasoning: The discount he received is 43/27 dollars, so the actual cost of the groceries is 43 - (43/27) = 16 dollars. The total cost of the groceries and the book is 16 + 13/36 = 16 + (13/36) * (36/36) = 16 + 13 = <<16+13=29>>29 dollars. ### Answer: 29 dollars
Expected answer: 4511/108
Correct? No
Problem: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. After she bought a novel that cost 46/39 dollars, how much money does Jenna have left?
Mistral 7B:
Reasoning: First, let's find out how much money Jenna spent on the novel: 46/39 * 39 = <<46/39*39=46>>46 dollars. Now, let's subtract the cost of the novel from the total amount of money Jenna had: 45 + 50 - 46 = <<45+50-46=89>>89 cents. ### Answer: 89 cents (or $0.89)
Expected answer: 3659/39
Correct? No
Problem: You have 27/6 gallons of water in a tank. You then pour out 5/40 gallons of water from the tank. As you noticed the tank seems low, you add 21/26 gallons more. How many gallons of water are in the tank after all those actions?
Mistral 7B:
Reasoning: First, we find out how many gallons of water were poured out: 27/6 - 5/40 = 135/240 - 5/40 = 135/240 - 15/240 = 120/240 = 1/2 gallons. Then, we find out how many gallons of water were added: 21/26. Finally, we subtract the amount poured out and add the amount added: 27 - 1/2 + 21/26 = 26 15/26 gallons. ### Answer: 26 15/26 gallons
Expected answer: 539/104
Correct? No
Problem: If a car is traveling at a steady speed of 28 miles per hour, how many miles will it travel in 20 hours?
Mistral 7B:
Reasoning: To find the distance traveled, we multiply the speed by the time. So, the car will travel 28 miles/hour * 20 hours = <<28*20=560>>560 miles in 20 hours. ### Answer: 560
Expected answer: 560
Correct? Yes
Problem: Continuing from the previous scenario, after traveling for 20 hours at a speed of 28 miles per hour, the car continues on for an additional 22 miles. How many miles has the car traveled in total?
Mistral 7B:
Reasoning: First, we find the distance traveled in the first 20 hours: 28 miles/hour * 20 hours = 560 miles. Then, we add the additional 22 miles: 560 miles + 22 miles = <<560+22=582>>582 miles in total. ### Answer: 582 utschke
Expected answer: 582
Correct? Yes
Problem: Following up from the initial scenario, suppose the car was instead traveling at a consistent speed of 28 miles per hour for 32 hours. How many miles will the car travel in this case?
Mistral 7B:
Reasoning: To find the distance traveled, we multiply the speed by the time. So, the car will travel 28 miles/hour * 32 hours = <<28*32=896>>896 miles in 32 hours. ### Answer: 896 utsch!
Expected answer: 896
Correct? Yes
Problem: Tom had 48 dollars in his wallet. After he bought a book for 19 dollars, how much money does he have left?
Mistral 7B:
Reasoning: Tom spent 19 dollars on the book. Tom has 48-19 = <<48-19=29>>29 dollars left. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: Instead of spending 19 dollars on a book, let's say that Tom had initially spent 30 dollars on a more expensive book. How much money would Tom have left in his wallet after this purchase?
Mistral 7B:
Reasoning: Tom spent 30 dollars on the more expensive book. Tom has 48-30 = <<48-30=18>>18 dollars left. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: James has 19 dollars in his account. He earns 49/44 dollars per hour working online. How many dollars does he have in his account after working for an hour?
Mistral 7B:
Reasoning: James earns 49/44 dollars per hour. After working for an hour, James earns 49/44 dollars. To find the total amount of money in his account after working for an hour, we add the money he earned to the money he already had: Total amount = Initial amount + Earnings Total amount = 19 + (49/44) Total amount = (19*44 + 49)/44 Total amount = 831/44 ### Answer: 831/44 eller 19 dollars and 1/44 dollars.
Expected answer: 885/44
Correct? No
Problem: Your favorite juice shop buys oranges for $34 per 8 bags. They've found a new vendor offering the same quantity of oranges for $19 per 30 bags. How much less per bag does the new vendor charge?
Mistral 7B:
Reasoning: First, let's find the cost per bag for the old vendor: Cost per bag (old vendor) = Cost per 8 bags / 8 Cost per bag (old vendor) = $34 / 8 = $4.25 Now, let's find the cost per bag for the new vendor: Cost per bag (new vendor) = Cost per 30 bags / 30 Cost per bag (new vendor) = $19 / 30 = $0.6333... To find the difference in cost per bag, subtract the new cost from the old cost: Difference in cost per bag = $4.25 - $0.6333... Difference in cost per bag = $3.6167... ### Answer: The new vendor charges $3.62 less per bag (rounded to two decimal places).
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
Mistral 7B:
Reasoning: To find the amount Lisa spends per day, we divide the total amount she spent by the number of days. Amount per day = Total amount / Number of days = $50 / 46 ≈ $1.087 days. ### Answer: $1.087 per day.
Expected answer: 25/23
Correct? No
Problem: A bottle contains 22/43 liters of juice. If you drink 18/4 of the bottle, how many liters of juice do you drink?
Mistral 7B:
Reasoning: First, we find out how much juice is left in the bottle after drinking 18/4 of it: Juice left = Initial juice - Drank juice = 22/43 - 18/4 To find a common denominator, we can multiply both the numerator and denominator of the second fraction by 11 (the least common multiple of 4 and 43): Juice left = (22/43 - 198/443) Now, we can subtract the fractions: Juice left = (22*443 - 198*43)/443 = 9662/443 Since we are asked for the amount of juice drunk, we can find it by subtracting the remaining juice from the initial juice: Juice drunk = Initial juice - Juice left = 22/43 - 9662/443 To subtract fractions, we need a common denominator. We can use the least common multiple of 43 and 443, which is 443: Juice drunk = (22*1 - 9662*43)/443 = (-9662*42)/443 = -22088/443 Since the juice drunk is negative, it means that the amount of juice drunk is more than the total amount of juice in the bottle. This is not possible, so there seems to be an error in the problem. ### Answer: There is an error in the problem. The amount of juice drunk cannot be more than the total amount of juice in the bottle.
Expected answer: 99/43
Correct? No
Problem: John had $31 in his wallet. He spent $4 on a chocolate bar. How much money does he have left?
Mistral 7B:
Reasoning: John had $31 - $4 = <<31-4=27>>27 dollars left. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: After spending $4 on a chocolate bar from his original $31, John decided to buy a book that costs $23. How much money does he have left after buying the book?
Mistral 7B:
Reasoning: John spent $4 on a chocolate bar, leaving him with $31 - $4 = <<31-4=27>>27 dollars. Then, he spent $23 on a book, leaving him with $27 - $23 = <<27-23=4>>4 dollars. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A sports car travels at a speed of 40 miles per hour on a highway. Additional to that, it gains an extra speed of 26/24 miles every hour due to a powerful wind from behind. What would be its speed after one hour with the effect of the wind included?
Mistral 7B:
Reasoning: The car's speed with the wind is the sum of its speed without the wind and the extra speed gained due to the wind. The car's speed without the wind is 40 miles per hour. The extra speed gained due to the wind is 26/24 miles per hour. The car's speed with the wind is 40 + (26/24) = <<40+(26/24)=(10*4+26)/24=106/24>>106/24 miles per hour. ### Answer: 106/24 utscher miles per hour.
Expected answer: 493/12
Correct? No
Problem: James bought a jug of milk which contains 33/37 gallons. Later, he decided to add more milk into the jug, which was 3/25 gallons. How many gallons of milk does James have in total in the jug?
Mistral 7B:
Reasoning: First, we find the total amount of milk in the jug after adding the extra milk: (33/37 + 3/25) = (156/157 + 6/25) = (312/385 + 12/385) = 434/385 gallons ### Answer: 434/385 gallons
Expected answer: 936/925
Correct? No
Problem: A journey took 43/17 hours to complete. After the journey, a break of 31/4 hours was taken. What is the total time spent on the journey and the break?
Mistral 7B:
Reasoning: The time spent on the journey is 43/17 hours, and the time spent on the break is 31/4 hours. The total time spent on the journey and the break is (43/17 + 31/4) hours. To find a common denominator, we can multiply the denominators of both fractions: 17*4 = 68. Now, we can rewrite the fractions with the common denominator: (43/17)*(4/4) + (31/4)*(17/17) = (172/68) + (247/68) Adding the fractions: (172+247)/68 = 419/68 ### Answer: 419/68 hours.
Expected answer: 699/68
Correct? No
Problem: Carrie's car consumes 41 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, how much fuel has her car consumed?
Mistral 7B:
Reasoning: Carrie's car consumes 41 liters of fuel per hour. Carrie has driven for 49/48 hours, which is approximately 1 hour and 15 minutes. To find the total fuel consumption, we multiply the fuel consumption rate by the time driven: 41 liters/hour * (1 hour + 15 minutes) = 41 liters/hour * (1 + 15/60) = 41 liters/hour * (1 + 0.25) = 41 * 1.25 = <<41*1.25=51.25>>51.25 liters. ### Answer: 51.25 liters.
Expected answer: 2009/48
Correct? No
Problem: Oscar has $33 saved up. He decides to spend 13/41 of his money on a new video game. How much money does he spend on the video game?
Mistral 7B:
Reasoning: To find out how much money Oscar spends on the video game, we multiply the amount he spends as a fraction of his total money by his total money. Oscar spends 13/41 * $33 = (13/41) * 33 = <<(13/41)*33=7.341463414634146>>7.34 dollars on the video game. ### Answer: 7.34 dollars (rounded to two decimal places)
Expected answer: 429/41
Correct? No
Problem: A turtle travels at a speed of 19/6 feet per second. How far, in feet, would the turtle travel in 24 seconds if it starts 20 feet ahead from the starting point?
Mistral 7B:
Reasoning: The turtle travels a distance of speed * time = (19/6) * 24 = <<(19/6)*24=38 feet>>38 feet in 24 seconds. Since the turtle starts 20 feet ahead, the total distance traveled is 38+20 = <<38+20=58>>58 feet. ### Answer: 58
Expected answer: 96
Correct? No
Problem: Carlos has a container with a capacity of 3 liters. He filled it with orange juice to just 41/49 of its capacity. How many liters of orange juice did he pour into the container?
Mistral 7B:
Reasoning: To find out how many liters of orange juice Carlos poured into the container, we multiply the capacity of the container by the fraction of the container that was filled. 3 liters * (41/49) = <<3*(41/49)=(123/49)~0.25306122448979595>>0.253 liters (approximately) ### Answer: 0.253 (approximately) liters of orange juice were poured into the container.
Expected answer: 123/49
Correct? No
Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?
Mistral 7B:
Reasoning: The train covers a distance equal to its speed multiplied by the time traveled. The train covers 39 km/hour * 5 hours = <<39*5=195>>195 kilometers in 5 hours. ### Answer: 195 kilometers.
Expected answer: 195
Correct? Yes
Problem: If the train was initially traveling at a speed of 16 kilometers per hour instead of 39 kilometers per hour, how far would the train have travelled in 5 hours?
Mistral 7B:
Reasoning: The train covers a distance equal to its speed multiplied by the time traveled. The train covers 16 km/hour * 5 hours = <<16*5=80>>80 kilometers in 5 hours. ### Answer: 80 kilometers. utsch!
Expected answer: 80
Correct? Yes
Problem: Jenny has $3. She then finds a rare coin that is worth 4/37 dollars. How much money does she have altogether?
Mistral 7B:
Reasoning: Jenny has $3 + (4/37) = (3*37 + 4) / 37 = <<(3*37+4)/37=133/37>>133/37 dollars. ### Answer: 133/37 utschdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfhsdlkjfh
Expected answer: 115/37
Correct? No
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
Mistral 7B:
Reasoning: Henry saves $17 each week, so he saves $17*5 = <<17*5=85>>85 dollars in 5 weeks. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: Imagine if instead of saving $17 each week, Henry was actually saving $37 each week. How much money would Henry save in 5 weeks?
Mistral 7B:
Reasoning: Henry saves $37 each week, so he saves $37*5 = <<37*5=185>>185 dollars in 5 weeks. ### Answer: 185 utsch!
Expected answer: 185
Correct? Yes
Problem: You have $15 in your savings account. You decided to spend 17/23 of a dollar on a small sweet. How much is left in your savings account after buying the sweet?
Mistral 7B:
Reasoning: The fraction 17/23 can be converted to a decimal by dividing 17 by 23. 17/23 ≈ 0.7391304347826087 To find out how much money is spent on the sweet, we multiply the decimal by the initial amount of money: Money spent = Initial amount * Fraction spent = $15 * 0.7391304347826087 = $11.08945625614558 Now, to find out how much is left in the savings account, we subtract the amount spent from the initial amount: Money left = Initial amount - Money spent = $15 - $11.08945625614558 = $3.91054374385442 ### Answer: $3.91 Note: The answer is rounded to two decimal places for simplicity. The exact value is $3.91054374385442.
Expected answer: 328/23
Correct? No