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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Calculate how much money Steve spent each day:
   * Steve had 38 dollars and spent it evenly over 8 days.
   * Amount spent per day = 38 dollars ÷ 8 days = $4.75 per day

2. Calculate how much money Steve had after receiving the extra 11 dollars:
   * Steve received an extra 11 dollars after spending his initial 38 dollars.
   * Steve's total money = $11

3. Calculate how much money John spent:
   * John spent the same amount of money as Steve had initially (38 dollars).
   * John's remaining money = 18 dollars - 38 dollars = -$20

4. Calculate John's final amount of money:
   * John found 25 dollars on the street after spending the money.
   * John's final money = -$20 + $25 = $5

### Answer: John has 5 dollars now.

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?

Claude-3 Opus:

Okay, let's solve this problem step by step:

1. You have $45 in your wallet.
2. You find a coin worth $27/30. This means the coin is worth 27 divided by 30 dollars.
   
   27 ÷ 30 = 0.9
   
   So, the coin is worth $0.90.

3. To find the total amount of money you have, add the money in your wallet to the value of the coin you found.

   $45 + $0.90 = $45.90

Therefore, you have a total of $45.90.

### Answer: $45.90

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?

Claude-3 Opus:

To solve this problem, we need to add the money John has in his bank account to the loose change he found on his desk.

Given:
- John has $17 in his bank account.
- He finds loose change on his desk amounting to $8.37.

To find the total amount of money John has, we simply add these two amounts together.

$17 + $8.37 = $25.37

Therefore, John has a total of $25.37.

### Answer: $25.37

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?

Claude-3 Opus:

Let's organize the information we have:
* Initially, Sally travels 47/50 of a mile
* Then, she rides another 31 miles
* She completes the same distance every day for the next 28 days
* One day, she adds an extra 32/24 miles to her regular route

Now, let's solve the problem step by step:

1. Calculate Sally's regular daily distance:
   * Regular daily distance = 47/50 + 31
   * Regular daily distance = 0.94 + 31 = 31.94 miles

2. Calculate the total distance she traveled in 28 days:
   * Total distance in 28 days = Regular daily distance × 28
   * Total distance in 28 days = 31.94 × 28 = 894.32 miles

3. Convert the extra distance from 32/24 to a decimal:
   * Extra distance = 32/24 = 1.33 miles

4. Calculate the total distance including the extra distance:
   * Total distance = Total distance in 28 days + Extra distance
   * Total distance = 894.32 + 1.33 = 895.65 miles

### Answer: 895.65 miles

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?

Claude-3 Opus:

To solve this problem, we need to use the formula: Distance = Speed × Time

Given:
- The train travels at a steady speed of 47 miles per hour.
- The train travels for 4 hours.

Step 1: Plug the given values into the formula.
Distance = Speed × Time
Distance = 47 miles/hour × 4 hours

Step 2: Multiply the speed by the time.
Distance = 47 × 4 = 188 miles

Therefore, the train travels 188 miles in 4 hours.

### Answer: 188 miles

Expected answer: 188

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the total distance the truck can travel with the additional 11 kilometers:
   * The truck can travel 34/25 kilometers on a liter of fuel.
   * Additional distance = 11 kilometers
   * Total distance = 34/25 + 11
   * Total distance = 34/25 + 275/25 (converting 11 to an equivalent fraction with denominator 25)
   * Total distance = 309/25 kilometers

2. Now, let's add another 49 kilometers to the journey:
   * Previous total distance = 309/25 kilometers
   * Additional distance = 49 kilometers
   * New total distance = 309/25 + 49
   * New total distance = 309/25 + 1225/25 (converting 49 to an equivalent fraction with denominator 25)
   * New total distance = 1534/25 kilometers

Therefore, with an additional 11 kilometers, the truck can travel a total distance of 309/25 kilometers. If another 49 kilometers are added, the total distance becomes 1534/25 kilometers.

### Answer: 1534/25 kilometers

Expected answer: 1534/25

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The energy drink increases John's jogging speed by 50/49 miles per hour.
   * Without the energy drink, John's jogging speed is 4/22 miles per hour.
   * We need to find the distance John would cover if he jogs for 46/30 hours after consuming the energy drink.

2. Calculate John's jogging speed after consuming the energy drink:
   * Speed after energy drink = Speed without energy drink + Speed increase
   * Speed after energy drink = 4/22 + 50/49
   * Speed after energy drink = (4/22) + (50/49)
   * Speed after energy drink = (4 × 49) / (22 × 49) + (50 × 22) / (49 × 22)
   * Speed after energy drink = 196 / 1078 + 1100 / 1078
   * Speed after energy drink = (196 + 1100) / 1078
   * Speed after energy drink = 1296 / 1078
   * Speed after energy drink ≈ 1.20 miles per hour

3. Calculate the distance John would cover in 46/30 hours at the new speed:
   * Distance = Speed × Time
   * Distance = (1296 / 1078) × (46 / 30)
   * Distance = (1296 × 46) / (1078 × 30)
   * Distance = 59616 / 32340
   * Distance ≈ 1.84 miles

Therefore, if John jogs for 46/30 hours after consuming the energy drink, he would cover approximately 1.84 miles.

### Answer: 1.84 miles

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. The truck driver starts with 9 gallons of gas in his tank.

2. At the first stop, he adds 21/36 gallons of gas.
   To add fractions, we need to convert them to a common denominator.
   21/36 = 7/12 (dividing both numerator and denominator by 3)
   So, after the first stop, he has 9 + 7/12 gallons of gas.

3. At the second stop, he adds 26/42 gallons of gas.
   Again, let's convert this fraction to the common denominator of 12.
   26/42 = 13/21 (dividing both numerator and denominator by 2)
   13/21 = 13/21 × 4/4 = 52/84 = 31/42 (multiplying numerator and denominator by 4 to get denominator of 12)
   So, after the second stop, he has 9 + 7/12 + 31/42 gallons of gas.

4. Now, let's add these fractions:
   9 + 7/12 + 31/42 = 9 + 7/12 + 31/42
                    = 9 + 7/12 + 31/42 × 7/7
                    = 9 + 7/12 + 217/294
                    = 9 + 91/12
                    = 108/12 + 91/12
                    = 199/12
                    = 16 7/12 gallons (or 16.583 gallons as a decimal)

### Answer: 16 7/12 gallons (or 16.583 gallons)

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * John initially has 6 dollars in his pocket.
   * He earns an additional 47/8 dollars from mowing his neighbor's lawn.

2. Convert the fraction 47/8 to a decimal or mixed number:
   * 47 ÷ 8 = 5.875
   * 47/8 is equal to 5 7/8 or 5.875 dollars

3. Add the initial amount and the earned amount:
   * Total money = Initial amount + Earned amount
   * Total money = 6 + 5.875
   * Total money = 11.875 dollars

Therefore, after earning money from mowing his neighbor's lawn, John now has a total of 11.875 dollars.

### Answer: 11.875 dollars

Expected answer: 95/8

Correct? No

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Matthew initially has $29 saved up.

2. He spends $5 on a toy robot.
   * Money left after buying the toy = $29 - $5 = $24

3. After buying the toy, he receives $8 from his grandmother for his birthday.
   * Money after receiving the birthday gift = $24 + $8 = $32

Therefore, Matthew now has $32.

### 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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* A barrel of oil costs $16
* The refinery buys 9 barrels

To find the total cost of 9 barrels of oil, we need to multiply the cost of one barrel by the number of barrels purchased.

Total cost = Cost per barrel × Number of barrels
Total cost = $16 × 9
Total cost = $144

Therefore, 9 barrels of oil cost $144 in total.

### Answer: $144

Expected answer: 144

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Amy's current garden is 11 feet long.
   * She plans to expand it by 30 feet.
   * After that, she will further extend the garden by 30 divided by 13 feet.

2. Calculate the length of the garden after the first expansion:
   * Length after first expansion = Current length + 30 feet
   * Length after first expansion = 11 feet + 30 feet
   * Length after first expansion = 41 feet

3. Calculate the additional length for the second expansion:
   * Additional length = 30 ÷ 13 feet
   * Additional length = 2.307692307692308 feet (rounded)

4. Calculate the total length of the garden after all expansions:
   * Total length = Length after first expansion + Additional length
   * Total length = 41 feet + 2.307692307692308 feet
   * Total length = 43.307692307692308 feet

To simplify the final answer, we can round it to two decimal places:
Total length ≈ 43.31 feet

### Answer: 43.31 feet

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?

Claude-3 Opus:

Let's solve this step by step:

1. First, we need to find the distance between John's house and his work.
   * John's house is (17 / 3) miles from his work.
   * (17 / 3) = 5.666... miles

2. Now, we know that the supermarket is (25 / 41) miles closer to his work than his house.
   * We need to subtract this distance from the distance between John's house and his work.
   * (25 / 41) = 0.609... miles

3. So, the distance of the supermarket from John's work is:
   * Distance = (17 / 3) - (25 / 41)
   * Distance = 5.666... - 0.609...
   * Distance = 5.057... miles

Therefore, the supermarket is approximately 5.057 miles from John's work.

### Answer: 5.057 miles

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Initially, the bank had $12 in one-dollar bills.

2. The bank received an additional $36 from a deposit.
   * Total money after the deposit = Initial amount + Deposited amount
   * Total money after the deposit = $12 + $36 = $48

3. The bank paid out $8.
   * Remaining money after payout = Total money after the deposit - Payout amount
   * Remaining money after payout = $48 - $8 = $40

Therefore, the bank now has $40 in one-dollar bills.

### Answer: $40

Expected answer: 40

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Samantha has $28 in her bank account.
   * She found coins amounting to 46/41 dollars on the street.
   * She added the coins to her savings.

2. Convert the fraction 46/41 to a decimal:
   * 46 ÷ 41 ≈ 1.1219512195121951
   * Round the result to two decimal places: 1.12

3. Add the initial amount in Samantha's bank account to the money she found:
   * $28 + $1.12 = $29.12

Therefore, Samantha now has $29.12 in her bank account.

### Answer: $29.12

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * James initially had $37.
   * His little brother gave him 14/19 of a dollar.

2. Convert the fraction 14/19 to a decimal:
   * 14 ÷ 19 ≈ 0.7368421052631579
   * Round the result to two decimal places: 0.74

3. Add the initial amount and the amount given by his brother:
   * $37 + $0.74 = $37.74

Therefore, James now has $37.74.

### Answer: $37.74

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?

Claude-3 Opus:

To find out how much Sophia spends each day on fuel, we need to divide the total amount she spends every 28 days by the number of days.

Given:
- Sophia spends $40 every 28 days on fuel.

Step 1: Divide the total amount spent by the number of days.
Daily fuel cost = Total amount spent ÷ Number of days
Daily fuel cost = $40 ÷ 28
Daily fuel cost = $1.43 (rounded to the nearest cent)

Therefore, Sophia spends approximately $1.43 per day on fuel for her car.

### Answer: $1.43

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the amount of juice in each equal part:
   * Roberto has 50 ounces of juice, which he splits into 17 equal parts.
   * Amount of juice in each part = 50 ÷ 17 = <<50/17=2.94>>2.94 (rounded to 2 decimal places) ounces

2. Find the amount of juice poured into the second container:
   * Roberto takes the juice from one part (2.94 ounces) and pours it into a container.
   * He then takes 34/44 of what is in that container and pours it into another container.
   * Amount of juice in the second container = 2.94 × 34/44 = <<2.94*34/44=2.27>>2.27 ounces

### Answer: 2.27 ounces

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?

Claude-3 Opus:

Let's break down the problem and solve it step by step:

1. Find the amount of money John still needs to save:
   * The game costs $40, and John already has $29.
   * Remaining amount = $40 - $29 = $11

2. Calculate the amount of money John saves each week:
   * John saves 20/48 of the remaining amount each week.
   * Weekly savings = (20/48) × $11 = $4.58 (rounded to the nearest cent)

3. Find the total amount John has saved before investing:
   * Total savings = $29 (already had) + $4.58 (weekly savings)
   * Total savings = $33.58

4. Calculate the amount of money John will have after a year of investment:
   * The investment account promises a return of 41/11 times the invested money.
   * Money after a year = (41/11) × $33.58 = $126.18 (rounded to the nearest cent)

### Answer: $126.18

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Maria initially has 13/3 euros.
   * The candy bar costs 32/15 euros.

2. Convert 13/3 euros to an improper fraction:
   * 13/3 = 39/9 euros

3. Subtract the cost of the candy bar from Maria's initial amount:
   * Remaining money = 39/9 - 32/15 euros
   * To subtract fractions, we need to find a common denominator. The common denominator is 45 (LCM of 9 and 15).
   * 39/9 = (39 × 5)/(9 × 5) = 195/45 euros
   * 32/15 = (32 × 3)/(15 × 3) = 96/45 euros
   * Remaining money = 195/45 - 96/45 = 99/45 euros

4. Simplify the fraction:
   * 99/45 = 11/5 euros

Therefore, Maria has 11/5 euros left after buying the candy bar.

### Answer: 11/5 euros

Expected answer: 11/5

Correct? Yes

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?

Claude-3 Opus:

Let's solve this step by step:

1) We know that each piece of lumber is 45/44 meters long.

2) We want to find the total length of 20 such pieces.

3) To find the total length, we need to multiply the length of each piece by the number of pieces:

   Total length = Length of each piece × Number of pieces
                = 45/44 × 20

4) To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same:

   45/44 × 20 = (45 × 20) / 44
              = 900 / 44

5) Simplifying this fraction:

   900 / 44 = 20 + 20/44
            = 20 + 5/11
            = 20 5/11

Therefore, 20 pieces of lumber, each 45/44 meters long, would have a total length of 20 5/11 meters.

### Answer: 20 5/11 meters

Expected answer: 225/11

Correct? Yes

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?

Claude-3 Opus:

To solve this problem, let's break it down into steps:

1. Find the distance covered in one hour for the first part of the race:
   * Speed = 34 miles per 14 hours
   * Distance in 1 hour = 34 ÷ 14 = 2.4286 miles (rounded to 4 decimal places)

2. Find the distance covered in one hour for the second part of the race:
   * Speed = 21 miles per 26 hours
   * Distance in 1 hour = 21 ÷ 26 = 0.8077 miles (rounded to 4 decimal places)

3. Add the distances covered in one hour from both parts:
   * Total distance in 1 hour = Distance from first part + Distance from second part
   * Total distance in 1 hour = 2.4286 + 0.8077 = 3.2363 miles

Therefore, the sprinter covers a total distance of 3.2363 miles in one hour from both parts together.

### Answer: 3.2363 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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Tom initially has $30 in his wallet.

2. He finds $14 on the ground.
   * Amount after finding money = $30 + $14 = $44

3. Later, he receives $25 as a birthday gift.
   * Total amount = Amount after finding money + Birthday gift
   * Total amount = $44 + $25 = $69

Therefore, Tom now has a total of $69.

### Answer: $69

Expected answer: 69

Correct? Yes

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?

Claude-3 Opus:

To solve this problem, we need to add the distances Jenny ran in the first round and after resting.

First round: 41/32 miles
After resting: 11/4 miles

To add fractions, we need to find a common denominator. The common denominator for 32 and 4 is 32.

41/32 = 41/32
11/4 = 11/4 × 8/8 = 88/32

Now we can add the fractions:
41/32 + 88/32 = (41 + 88)/32 = 129/32

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF). The GCF of 129 and 32 is 1, so the fraction cannot be simplified further.

Therefore, Jenny ran a total of 129/32 miles.

### Answer: 129/32 miles

Expected answer: 129/32

Correct? Yes

Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?

Claude-3 Opus:

I apologize, but there seems to be an error in the question. In the United States, there is no such thing as a $33 bill. The denominations of U.S. currency currently in circulation are:

$1, $2, $5, $10, $20, $50, and $100 bills.

There are also coins: 1¢ (penny), 5¢ (nickel), 10¢ (dime), 25¢ (quarter), 50¢ (half-dollar), and $1 (dollar coin).

Since a $33 bill does not exist, the question cannot be answered as stated. If the question were revised with a valid denomination, such as John finding a $20 bill, then the problem could be solved as follows:

John's initial amount: $32
Amount found: $20
Total amount: $32 + $20 = $52

### Answer: The question cannot be answered as stated because a $33 bill does not exist in U.S. currency.

Expected answer: 65

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. First, let's find out how many hours Carrie rode her bike in total:
   * She rode for 7 hours, and then another 38/25 of an hour.
   * Total hours = 7 + 38/25
   * To add fractions, we need to convert 7 to an improper fraction with the same denominator as 38/25:
     * 7 = 7 × 25/25 = 175/25
   * Now we can add the fractions:
     * Total hours = 175/25 + 38/25 = 213/25 = <<175/25+38/25=213/25>>8.52 hours

2. Now that we know Carrie rode for 8.52 hours, and she covered 35 kilometers in each hour, let's calculate the total distance:
   * Total kilometers = 8.52 × 35
   * Total kilometers = <<8.52*35=298.2>>298.2 kilometers

Therefore, Carrie covered a total of 298.2 kilometers.

### Answer: 298.2 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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * John saved $17 in January.
   * He added $10 more in February.

2. To find the total money John has saved after February, we need to add the money he saved in January and February.
   * Total saved = Money saved in January + Money saved in February
   * Total saved = $17 + $10
   * Total saved = $27

Therefore, John has saved a total of $27 after February.

### Answer: $27

Expected answer: 27

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?

Claude-3 Opus:

To find the distance the car traveled, we need to multiply the car's speed by the time it traveled.

Given:
- The car travels at a speed of 41 miles per hour.
- The trip lasts 20/11 hours.

Step 1: Convert the time from a fraction to a decimal.
20 ÷ 11 ≈ 1.818181818... ≈ 1.82 hours (rounded to 2 decimal places)

Step 2: Calculate the distance traveled by multiplying the speed by the time.
Distance = Speed × Time
Distance = 41 miles/hour × 1.82 hours
Distance = 74.62 miles

Since we cannot have a fraction of a mile in this context, we round the answer to the nearest whole number.

### Answer: 75 miles.

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* Tony has 38 books in his collection.
* Each book costs 21 dollars.

To find the total amount of money Tony spent on his book collection, we need to multiply the number of books by the cost per book.

Total spent = Number of books × Cost per book
Total spent = 38 × $21
Total spent = $798

Therefore, Tony spent a total of $798 on his book collection.

### Answer: $798

Expected answer: 798

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* Johnnie's car uses 16 liters of gas every hour.
* Johnnie drives continuously for 19 hours.

To find out how many liters of gas the car would use in 19 hours, we need to multiply the number of liters used per hour by the number of hours driven:

Liters of gas used = Liters per hour × Number of hours
Liters of gas used = 16 × 19
Liters of gas used = 304

Therefore, if Johnnie drives continuously for 19 hours, his car would use 304 liters of gas.

### Answer: 304 liters

Expected answer: 304

Correct? Yes

Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * Joe distributes 40 pamphlets each day.
   * We need to find the total number of pamphlets distributed by day 19.

2. Calculate the total number of pamphlets distributed:
   * Total pamphlets = Number of pamphlets per day × Number of days
   * Total pamphlets = 40 × 19
   * Total pamphlets = 760

Therefore, by day 19, Joe has distributed a total of 760 pamphlets.

### Answer: 760

Expected answer: 760

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the number of acres that were not fallow:
   * Total acres of land = 42
   * Acres that lie fallow = 49/4 = 12.25
   * Acres not fallow = 42 - 12.25 = 29.75 acres

2. Calculate the number of bushels of corn harvested from the land that was not fallow:
   * Bushels of corn per acre = 16/5 = 3.2
   * Acres not fallow = 29.75
   * Bushels of corn harvested = 3.2 × 29.75 = 95.2 bushels

Therefore, the farmer harvests 95.2 bushels of corn from the land that was not fallow.

### Answer: 95.2 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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Each jug Jennifer sells contains 21 gallons of lemonade.
   * Due to evaporation, she only receives 31/34 of the original volume when she sells the jugs.

2. Calculate the amount of lemonade Jennifer has after selling a full jug:
   * Remaining lemonade = Original volume × (31/34)
   * Remaining lemonade = 21 × (31/34)
   * Remaining lemonade = (21 × 31) ÷ 34
   * Remaining lemonade = 651 ÷ 34
   * Remaining lemonade = 19.1470588235294 gallons

Therefore, after selling a full jug, Jennifer has approximately 19.15 gallons of lemonade.

### Answer: 19.15 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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the distance Jane cycles in 45 hours:
   * Jane's cycling rate = 11 km/h
   * Time spent cycling = 45 hours
   * Distance = Rate × Time
   * Distance = 11 km/h × 45 h = 495 km

2. Add the additional distance Jane cycles:
   * Additional distance = 1 km
   * Total distance = Distance in 45 hours + Additional distance
   * Total distance = 495 km + 1 km = 496 km

Therefore, Jane cycles a total of 496 kilometers.

### Answer: 496 kilometers.

Expected answer: 496

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?

Claude-3 Opus:

To solve this problem, we need to add the money George had in his wallet to the money he found on the street.

Given:
- George had $21 in his wallet.
- He found a bundle of change worth $21/39.

Step 1: Convert the fraction $21/39 to a decimal.
$21 ÷ 39 ≈ 0.538461538461538$ (rounded to 15 decimal places)

Step 2: Add the money in George's wallet to the money he found.
$21 + 0.538461538461538 = 21.538461538461538$

Therefore, George now has approximately $21.54 (rounded to the nearest cent).

### Answer: $21.54

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* John bikes 46 miles to the town of Baker.
* After reaching Baker, he bikes another 41 miles to the town of Nelson.

To find the total miles John biked, we need to add the distances he traveled:
* Total miles = Miles to Baker + Miles from Baker to Nelson
* Total miles = 46 + 41
* Total miles = 87

Therefore, John biked a total of 87 miles.

### Answer: 87

Expected answer: 87

Correct? Yes

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* John earns 4 dollars per hour at his part-time job.
* John works for 9 hours.

To find out how much money John earns in total, we need to multiply his hourly rate by the number of hours he worked.

Calculation:
* Total earnings = Hourly rate × Number of hours worked
* Total earnings = $4 × 9
* Total earnings = $36

Therefore, John earns a total of $36 for working 9 hours at his part-time job.

### Answer: $36

Expected answer: 36

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Jack initially had 38 dollars.

2. He earned 41/48 of a dollar from recycling cans.
   To convert 41/48 to a decimal, divide 41 by 48:
   41 ÷ 48 ≈ 0.8541666667
   <<41/48≈0.8541666667>>

3. The next day, he found a quarter (23/24 of a dollar) on the ground.
   To convert 23/24 to a decimal, divide 23 by 24:
   23 ÷ 24 ≈ 0.9583333333
   <<23/24≈0.9583333333>>

4. Now, add up all the money Jack has:
   38 + 0.8541666667 + 0.9583333333 ≈ 39.8125
   <<38+0.8541666667+0.9583333333≈39.8125>>

Therefore, Jack now has approximately $39.81.

### Answer: $39.81

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. First, let's calculate the distance Jenny traveled in 29 hours at a speed of 32/24 miles per hour.
   * Speed = 32/24 miles per hour = 4/3 miles per hour
   * Time = 29 hours
   * Distance = Speed × Time
   * Distance = 4/3 × 29 = 116/3 miles = <<116/3=38.666666666666664>>38 2/3 miles

2. Now, let's find out how far she could travel if her speed increased by a factor of 43/15.
   * New speed = Original speed × 43/15
   * New speed = 4/3 × 43/15 = 172/45 miles per hour

3. To find the new distance, we use the new speed and the same time:
   * New distance = New speed × Time
   * New distance = 172/45 × 29 = 4988/45 miles = <<4988/45=110.84444444444444>>110 38/45 miles

### Answer: 110 38/45 miles

Expected answer: 4988/45

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Each child received 16/31 litres of paint.
   * There were 32 children in the class.

2. To find the total amount of paint distributed, we need to multiply the amount of paint each child received by the number of children:
   * Total paint = Paint per child × Number of children
   * Total paint = 16/31 × 32

3. Multiply the fractions:
   * 16/31 × 32/1 = (16 × 32) / (31 × 1) = 512 / 31

4. Simplify the fraction:
   * 512 / 31 cannot be simplified further as there are no common factors between 512 and 31.

So, the total amount of paint distributed to all the students is 512/31 litres.

### Answer: 512/31 litres

Expected answer: 512/31

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Bob initially has $3 in his piggy bank.
   * He receives an additional amount of money, which is 3/7 of a dollar.

2. Convert the fraction 3/7 to a decimal:
   * 3 ÷ 7 ≈ 0.4285714285714286
   * To make it easier, let's round this to two decimal places: 0.43

3. Add the initial amount and the additional amount:
   * Total money = Initial amount + Additional amount
   * Total money = $3 + $0.43
   * Total money = $3.43

Therefore, Bob has a total of $3.43 in his piggy bank after receiving the additional money.

### Answer: $3.43

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?

Claude-3 Opus:

Let's break this down step by step:

1. First, let's find the total time Tom spent moving rocks:
   * Time for the first rock = 20/50 hours = <<20/50=2/5>>2/5 hours
   * Time for the second rock = 45/36 hours = <<45/36=5/4>>5/4 hours
   * Total time = 2/5 + 5/4 = <<2/5+5/4=(8+25)/20=33/20>>33/20 hours

2. Now, we know that Tom moves rocks at a speed of 25/22 miles per hour. To find the total distance, we multiply the speed by the total time:
   * Distance = Speed × Time
   * Distance = 25/22 × 33/20 miles
   * Distance = <<25/22*33/20=(25*33)/(22*20)=825/440>>825/440 miles

3. Simplifying the fraction:
   * 825/440 = <<825/440=1+(385/440)=1 7/8>>1 7/8 miles

Therefore, Tom moved the rocks a total distance of 1 7/8 miles today.

### Answer: 1 7/8 miles

Expected answer: 15/8

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the total amount of the mixture:
   * Solution A: 10/42 liters = 5/21 liters (simplified)
   * Solution B: 32 liters
   * Total mixture: 5/21 + 32 = (5/21 + 672/21) liters = 677/21 liters

2. Calculate the amount of mixture remaining after removing 4/28 liters:
   * 4/28 liters = 1/7 liters (simplified)
   * Remaining mixture: 677/21 - 1/7 = (677/21 - 3/21) liters = 674/21 liters

3. Determine the amount of solution used for the experiment:
   * The scientist uses 11/29 of the remaining mixture
   * Solution used for the experiment: (11/29) × (674/21) liters
   * Simplify: (11 × 674) ÷ (29 × 21) liters = 7414 ÷ 609 liters
   * Simplify further: 7414 ÷ 609 ≈ 12.17 liters (rounded to two decimal places)

### Answer: The scientist is using approximately 12.17 liters of the solution for her experiment.

Expected answer: 7414/609

Correct? No

Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The factory produces 24 chairs in one hour.
   * We need to find the number of chairs produced in 25 hours.

2. To find the total number of chairs produced in 25 hours, we need to multiply the number of chairs produced in one hour by the number of hours:
   * Chairs produced in 25 hours = Chairs produced in 1 hour × Number of hours
   * Chairs produced in 25 hours = 24 × 25
   * Chairs produced in 25 hours = 600

Therefore, the factory would produce 600 chairs in 25 hours.

### Answer: 600

Expected answer: 600

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the total amount of juice in the two containers:
   * First container: 23/35 gallon
   * Second container: 50/41 gallon
   * Total juice = 23/35 + 50/41
   * To add fractions, we need a common denominator. The common denominator is 35 × 41 = 1435.
   * 23/35 = (23 × 41) / 1435 = 943/1435
   * 50/41 = (50 × 35) / 1435 = 1750/1435
   * Total juice = 943/1435 + 1750/1435 = 2693/1435 gallons

2. The juice is transferred into a 28-gallon bottle, and a customer drinks 11/19 gallon:
   * Remaining juice in the bottle = 2693/1435 - 11/19 gallons
   * Again, we need a common denominator. The common denominator is 1435 × 19 = 27265.
   * 2693/1435 = (2693 × 19) / 27265 = 51167/27265 gallons
   * 11/19 = (11 × 1435) / 27265 = 15785/27265 gallons
   * Remaining juice in the bottle = 51167/27265 - 15785/27265 = 35382/27265 gallons

3. Convert the remaining juice to a mixed number:
   * 35382 ÷ 27265 = 1 with a remainder of 8117
   * The remaining juice is 1 8117/27265 gallons

4. Calculate the space left in the bottle:
   * Space left = Bottle capacity - Remaining juice
   * Space left = 28 - 1 8117/27265 gallons
   * Space left = 26 19148/27265 gallons

### Answer: 26 19148/27265 gallons

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?

Claude-3 Opus:

To solve this problem, let's break it down into steps:

1. Understand the given information:
   * The regular cake costs $47.
   * There are 26 available custom designs.
   * The additional fee for a custom design is $6 divided by the number of available designs.

2. Calculate the additional fee for a custom design:
   * Additional fee = $6 ÷ 26
   * Additional fee = $0.23 (rounded to the nearest cent)

3. Calculate the total cost of a regular cake with a custom design:
   * Total cost = Regular cake cost + Additional fee for custom design
   * Total cost = $47 + $0.23
   * Total cost = $47.23

Therefore, the total cost of buying a regular cake with a custom design is $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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The drone can fly 3 kilometers without any package.
   * When carrying a delivery package, the drone can fly 50/43 kilometers less.
   * With an additional booster, the drone can fly an extra 47/15 kilometers.

2. Calculate the distance the drone can fly with the package:
   * Distance with package = 3 - 50/43
   * 50/43 ≈ 1.16 (rounded to 2 decimal places)
   * Distance with package = 3 - 1.16 = 1.84 kilometers

3. Calculate the distance the drone can fly with the package and the additional booster:
   * Additional distance with booster = 47/15
   * 47/15 ≈ 3.13 (rounded to 2 decimal places)
   * Distance with package and booster = 1.84 + 3.13 = 4.97 kilometers

Therefore, the drone can fly approximately 4.97 kilometers with the package and the additional booster attached.

### Answer: 4.97 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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Ann runs 43/18 kilometers every morning.
   * Ann runs 22/9 kilometers every evening.

2. Convert the fractions to decimals for easier calculation:
   * 43/18 = 2.388889 kilometers (rounded to 6 decimal places)
   * 22/9 = 2.444444 kilometers (rounded to 6 decimal places)

3. Add the distances Ann runs in the morning and evening:
   * Total distance = Morning distance + Evening distance
   * Total distance = 2.388889 + 2.444444
   * Total distance = 4.833333 kilometers

4. Round the result to 2 decimal places for a more practical answer:
   * Total distance ≈ 4.83 kilometers

### Answer: Ann runs approximately 4.83 kilometers in a day.

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?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The car can travel 36 miles on 1 gallon of gas.
   * The car has a 19-gallon tank.

2. To find out how far the car can travel without refueling, we need to multiply the number of miles per gallon by the number of gallons in the tank.

3. Set up the multiplication:
   * Distance = Miles per gallon × Number of gallons
   * Distance = 36 × 19

4. Multiply:
   * Distance = 36 × 19 = 684

Therefore, the car can travel 684 miles without needing to refuel.

### Answer: 684 miles

Expected answer: 684

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?

Claude-3 Opus:

Let's break this down step by step:

1. First, let's calculate the distance John drove in 36 hours:
   * John drove 18 miles each hour for 36 hours.
   * Distance = Speed × Time
   * Distance = 18 miles/hour × 36 hours = 648 miles

2. After that, John drove an extra distance of 32/45 miles:
   * We need to add this extra distance to the distance he drove in 36 hours.
   * 32/45 ≈ 0.711 miles (rounded to 3 decimal places)

3. Now, let's add the two distances to get the total distance:
   * Total distance = Distance in 36 hours + Extra distance
   * Total distance = 648 miles + 0.711 miles
   * Total distance = 648.711 miles

Therefore, John drove a total of approximately 648.711 miles.

### Answer: 648.711 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?

Claude-3 Opus:

To find out how far the car will travel in 10 minutes, we need to multiply the speed of the car by the time it travels.

Given:
- The car travels at a speed of 40/31 miles per minute.
- We want to know the distance the car will travel in 10 minutes.

Step 1: Convert the fraction to a decimal to make the calculation easier.
40/31 ≈ 1.2903225806451613 miles per minute

Step 2: Multiply the speed by the time to get the distance.
Distance = Speed × Time
Distance = 1.2903225806451613 miles/minute × 10 minutes
Distance ≈ 12.903225806451613 miles

Therefore, the car will travel approximately 12.903225806451613 miles in 10 minutes.

### Answer: 12.903225806451613 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?

Claude-3 Opus:

Let's solve this problem step by step:
1. John initially has 21 dollars.
2. His mom gives him 11 dollars more.
3. To find the total amount of money John has now, we need to add the money he had initially and the money his mom gave him.

So, we can write this as an addition problem:
* John's initial money: $21
* Money given by his mom: $11
* Total money John has now: $21 + $11 = $32

Therefore, John now has a total of 32 dollars.

### Answer: John has 32 dollars now.

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Calculate the total amount of money Samuel has in dollars:
   * Samuel initially has $17
   * He finds $30 on the street
   * Total money in dollars = $17 + $30 = $47

2. Convert the total amount of dollars to Euros using the given exchange rate:
   * The exchange rate is $47 to 33 Euros
   * This means that for every $47, you get 33 Euros
   * To find the amount of Euros, we set up a proportion:
     $47 : 33 Euros = $47 : x Euros
   * Cross multiply and solve for x:
     47x = 33 × 47
     x = (33 × 47) ÷ 47
     x = 33

Therefore, after converting his money to Euros, Samuel will have 33 Euros.

### Answer: 33 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?

Claude-3 Opus:

Let's solve this step by step:

1. Hannah has 5 piggy banks.
2. Each piggy bank contains 34 coins.
3. To find the total number of coins, we need to multiply the number of piggy banks by the number of coins in each piggy bank.

Total coins = Number of piggy banks × Coins in each piggy bank
Total coins = 5 × 34 = <<5*34=170>>170

Therefore, Hannah has a total of 170 coins in her 5 piggy banks.

### Answer: 170

Expected answer: 170

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. First, let's add the money Alex has in his pocket to the money he found on the floor:
   $13/10 + $47/36 = $130/100 + $47/36 = $130/100 + $130.56/100 = $260.56/100 = $2.6056

2. Now, Alex duplicates this amount of money 43 times. This means he multiplies the total money by 44 (the original amount plus 43 duplicates):
   $2.6056 × 44 = $114.6464

Therefore, after duplicating the money 43 times, Alex will have $114.6464.

### Answer: $114.6464

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. John had initially saved $20 for a new toy.
2. He accidentally lost $19.
3. To find out how much money John has left, we need to subtract the amount he lost from the amount he had saved initially.

$20 - $19 = $1

Therefore, John has $1 left now.

### Answer: $1

Expected answer: 1

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?

Claude-3 Opus:

To find the total volume of liquid Richard consumed, we need to add the amount of wine, orange juice, and water he drank. Let's convert all the measurements to liters for consistency.

1. Wine:
   * The bottle had 33 ounces of wine, and Richard drank 33/48 of it.
   * 33 ounces ≈ 0.975 liters (1 ounce ≈ 0.0296 liters)
   * Amount of wine consumed = 33/48 × 0.975 liters ≈ 0.669 liters

2. Orange juice:
   * Richard drank 26/30 of a liter of orange juice.
   * Amount of orange juice consumed = 26/30 liters ≈ 0.867 liters

3. Water:
   * Richard drank 2/36 of a liter of water.
   * Amount of water consumed = 2/36 liters ≈ 0.056 liters

4. Total volume of liquid consumed:
   * Total = Wine + Orange juice + Water
   * Total = 0.669 + 0.867 + 0.056 ≈ 1.592 liters

### Answer: Richard consumed approximately 1.592 liters of liquid in total.

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Jacob initially has $43 in his savings account.

2. He adds $46 to his account.
   * Amount after adding $46 = $43 + $46 = $89

3. A few days later, he receives an additional $27/9 from his aunt.
   * $27/9 = $3
   * Amount after receiving $3 = $89 + $3 = $92

Therefore, Jacob now has $92 in his savings account.

### Answer: $92

Expected answer: 92

Correct? Yes

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?

Claude-3 Opus:

To solve this problem, let's organize the given information and find the solution step by step:

* Jacob has $35 on his gift card.
* He buys a toy for $22.
* We need to find out how much money is left on his gift card after buying the toy.

To find the remaining balance on the gift card, we need to subtract the cost of the toy from the initial balance:

Remaining balance = Initial balance - Cost of the toy
Remaining balance = $35 - $22
Remaining balance = $35 - $22 = $13

Therefore, after buying the toy, Jacob has $13 left on his gift card.

### Answer: $13

Expected answer: 13

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * James initially had 32 dollars.
   * He spent 36/5 dollars on a notepad.

2. Convert the fraction to a decimal to make the calculation easier:
   * 36/5 = 7.2 dollars

3. Subtract the amount James spent from his initial amount:
   * Remaining money = Initial amount - Amount spent
   * Remaining money = 32 - 7.2
   * Remaining money = 24.8 dollars

Therefore, James has 24.8 dollars left after buying the notepad.

### Answer: 24.8 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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Tina's total grocery bill was $39.
   * Due to a discount offer, she only had to pay 16/26 of the total amount.

2. Calculate the fraction of the total amount Tina had to pay:
   * Fraction to pay = 16/26
   * To simplify the calculation, let's convert this fraction to a decimal.
   * 16 ÷ 26 ≈ 0.6153846153846154

3. Calculate the discounted amount Tina paid:
   * Discounted amount = Total bill × Fraction to pay
   * Discounted amount = $39 × 0.6153846153846154
   * Discounted amount ≈ $24

Therefore, Tina paid approximately $24 for her groceries after the discount.

### Answer: $24

Expected answer: 24

Correct? Yes

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* Jaden currently has $19 in his savings account.
* His mother will give him $10 more.

To find the total amount in his savings account after his mother gives him the additional money, we need to add the current amount to the amount his mother will give him.

Current amount in Jaden's savings account: $19
Amount Jaden's mother will give him: $10

Total amount = Current amount + Additional amount
Total amount = $19 + $10 = $29

Therefore, after Jaden's mother gives him $10, the total amount in his savings account will be $29.

### 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.

Claude-3 Opus:

To find the rate of John's apple to apple juice consumption, we need to calculate how many pounds of apples and ounces of apple juice he consumes per day.

1. Apples:
   * John buys 17 pounds of apples every 8 days.
   * Daily apple consumption = 17 pounds ÷ 8 days = 2.125 pounds/day

2. Apple juice:
   * John consumes 48 ounces of apple juice every 42 days.
   * Daily apple juice consumption = 48 ounces ÷ 42 days ≈ 1.143 ounces/day

3. Rate of apple to apple juice consumption:
   * Convert the apple juice consumption to pounds per day:
     - 1 pound = 16 ounces
     - 1.143 ounces/day ÷ 16 ounces/pound ≈ 0.071 pounds/day
   * Rate = Daily apple consumption ÷ Daily apple juice consumption (in pounds)
   * Rate = 2.125 pounds/day ÷ 0.071 pounds/day ≈ 29.93

### Answer: John consumes apples at a rate of approximately 29.93 times his apple juice consumption.

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Calculate the total miles Maria drove:
   * Maria drove for 8 hours at a speed of 4/7 miles per hour.
   * Total miles = Time × Speed
   * Total miles = 8 × 4/7 = 32/7 miles
   * Total miles = <<32/7=4.571428571428571>>4.571428571428571 miles (rounded to 12 decimal places)

2. Calculate the remaining amount of money Maria had for gas:
   * Maria initially had 38 dollars for gas.
   * She spent 50/4 dollars on gas.
   * 50/4 = <<50/4=12.5>>12.5 dollars
   * Remaining amount = Initial amount - Amount spent
   * Remaining amount = 38 - 12.5 = 25.5 dollars

3. Sum up the total miles driven and the remaining amount of money for gas:
   * Sum = Total miles + Remaining amount
   * Sum = 4.571428571428571 + 25.5
   * Sum = <<4.571428571428571+25.5=30.071428571428573>>30.071428571428573

### Answer: 30.071428571428573

Expected answer: 421/14

Correct? Yes

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* The runner runs 17 miles each day.
* The runner trains for 49 days.

To find the total number of miles the runner will have run, we need to multiply the number of miles per day by the number of days:

Total miles = Miles per day × Number of days
Total miles = 17 × 49
Total miles = 833

Therefore, the runner will have run a total of 833 miles in 49 days.

### Answer: 833 miles.

Expected answer: 833

Correct? Yes

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?

Claude-3 Opus:

Let's solve this step by step:

1. Before the modification, the toy car could travel 37 kilometers on a single tank of fuel.

2. After the modification, the toy car can travel an additional 33/40 of a kilometer.

3. To find the total distance the toy car can now travel, we need to add the original distance and the additional distance:
   * Total distance = Original distance + Additional distance
   * Total distance = 37 + 33/40

4. Now, let's simplify the fraction 33/40:
   * 33/40 = 0.825 (rounded to three decimal places)

5. Add the original distance and the additional distance:
   * Total distance = 37 + 0.825
   * Total distance = 37.825 kilometers

Therefore, after the modification, the toy car can now travel a total distance of 37.825 kilometers on a single tank of fuel.

### Answer: 37.825 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?

Claude-3 Opus:

Let's break down the problem and solve it step by step:

1. Convert the time John traveled by car from a fraction to a decimal:
   1/31 of an hour = 1 ÷ 31 ≈ 0.0323 hours

2. Convert the time John traveled by bus from a fraction to a decimal:
   30/12 hours = 30 ÷ 12 = 2.5 hours

3. Convert the time John took a break from a fraction to a decimal:
   17/4 hours = 17 ÷ 4 = 4.25 hours

4. Calculate the total time John was on the move:
   Total time = Time by car + Time by bus
              = 0.0323 hours + 2.5 hours
              = 2.5323 hours

Note that the break time is not included in the total time John was on the move.

### Answer: 2.5323 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?

Claude-3 Opus:

Let's solve this step by step:

1. The well is initially 45 miles away from the village.

2. In one hour, the donkey can carry water back from the well, effectively reducing the distance by 18/33 miles.

3. To find the effective distance after 1 hour, we need to subtract the distance the donkey reduced from the initial distance:
   * Effective distance = Initial distance - Distance reduced by the donkey
   * Effective distance = 45 - 18/33 miles

4. To subtract fractions, we need to convert the whole number (45) into a fraction with the same denominator as 18/33:
   * 45 = 45 × 33/33 = 1485/33

5. Now we can subtract:
   * Effective distance = 1485/33 - 18/33
   * Effective distance = (1485 - 18)/33
   * Effective distance = 1467/33 miles

6. To simplify the fraction, divide both the numerator and denominator by their greatest common factor (GCF):
   * GCF of 1467 and 33 is 3
   * Effective distance = (1467 ÷ 3)/(33 ÷ 3)
   * Effective distance = 489/11 miles

Therefore, after 1 hour, the effective distance of the well from the village is 489/11 miles.

### Answer: 489/11 miles

Expected answer: 489/11

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Clara's initial money: $30

2. Money spent on ice cream: $25/6
   To divide by a fraction, we multiply by its reciprocal. So, 25/6 = 25 ÷ 6/1 = 25 × 1/6 = 125/6
   Money spent on ice cream: $125/6 ≈ $20.83

3. Remaining money after buying ice cream: $30 - $125/6 = $180/6 - $125/6 = $55/6 ≈ $9.17

4. Money spent on the book: 11/21 of the remaining money
   11/21 × $55/6 = (11 × 55) ÷ (21 × 6) = 605 ÷ 126 ≈ $4.80

Therefore, Clara spent approximately $4.80 on the book.

### Answer: $4.80

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the number of days in 2 weeks:
   * 1 week = 7 days
   * 2 weeks = 2 × 7 = 14 days

2. Calculate the total miles John walked in 2 weeks:
   * John walked 10 miles every day for 14 days
   * Total miles in 2 weeks = 10 miles/day × 14 days = 140 miles

3. Add the additional miles John needed to walk after 2 weeks:
   * Additional miles = 21 miles
   * Total miles = Miles in 2 weeks + Additional miles
   * Total miles = 140 miles + 21 miles = 161 miles

### Answer: 161

Expected answer: 161

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Susan has $48 in her pocket.
   * The toy costs $18 plus $41/14 for tax.

2. Convert the fraction tax to a decimal:
   * $41/14 = $2.93 (rounded to the nearest cent)

3. Calculate the total cost of the toy including tax:
   * Total cost = Toy cost + Tax
   * Total cost = $18 + $2.93
   * Total cost = $20.93

4. Calculate the money Susan has left after buying the toy:
   * Money left = Initial amount - Total cost
   * Money left = $48 - $20.93
   * Money left = $27.07

Therefore, Susan has $27.07 left after buying the toy.

### Answer: $27.07

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?

Claude-3 Opus:

Let's solve this step by step:

1. Jamie deposited $47 in her bank account.

2. The bank added a bonus of 47/41 dollars to her account.
   To calculate this bonus, we need to divide 47 by 41:
   47 ÷ 41 = 1.146341463... (rounded to 9 decimal places)
   This means the bonus is approximately $1.15.

3. Now, to find the total amount in Jamie's account, we add the initial deposit and the bonus:
   $47 + $1.15 = $48.15

Therefore, Jamie now has $48.15 in her bank account.

### Answer: $48.15

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?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * Walter pays 23/21 dollars for a pen.
   * After buying the pen, he has 46 dollars left.

2. Convert the fraction to a decimal to make the calculation easier:
   * 23/21 = 1.0952380952380952 (rounded to 1.10 for simplicity)

3. Set up an equation to find the original amount of money:
   * Let x be the original amount of money Walter had.
   * x - 1.10 = 46

4. Solve the equation:
   * x = 46 + 1.10
   * x = 47.10

So, Walter had 47.10 dollars originally.

### Answer: Walter had 47.10 dollars originally.

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Find the total amount of honey harvested in a day:
   * The farmer harvests 44/10 kilograms from each beehive.
   * There are 37 beehives.
   * Total honey harvested = 44/10 × 37
   * 44/10 × 37 = 1628/10 = 162.8 kilograms

2. Find the amount of honey sold in a day:
   * The farmer sells 3/37 of the total honey harvested.
   * Total honey sold = 3/37 × 162.8
   * 3/37 × 162.8 = 488.4/37 = 13.2 kilograms

Therefore, the farmer harvests 162.8 kilograms of honey in a day and sells 13.2 kilograms of honey.

### Answer: The farmer harvests 162.8 kilograms of honey and sells 13.2 kilograms of honey in a day.

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* Jessica earns $29 per hour
* She works for 14 hours

To find out how much money Jessica will earn, we need to multiply her hourly rate by the number of hours she worked.

Calculation:
* Earnings = Hourly rate × Number of hours worked
* Earnings = $29 × 14
* Earnings = $406

Therefore, Jessica will earn $406 for working 14 hours.

### Answer: $406

Expected answer: 406

Correct? Yes

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Tim's car consumes 41/39 liters of fuel per minute.
   * Tim drives for 47 minutes.

2. Calculate the total fuel consumption:
   * Fuel consumption = (41/39) liters/minute × 47 minutes
   * Fuel consumption = (41/39) × 47
   * Fuel consumption = 1927/39 liters
   * Fuel consumption = 49.4102564... liters (rounded to 49.41 liters)

### Answer: 49.41 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?

Claude-3 Opus:

Let's break this down step by step:

1. Find the cargo carried in each container:
   * Each container carries 17 / 26 tons of cargo
   * 17 / 26 ≈ 0.6538 tons per container

2. Find the total cargo in all 39 containers:
   * Total cargo in containers = 0.6538 × 39
   * 0.6538 × 39 ≈ 25.5 tons

3. Find the existing cargo load:
   * Existing cargo load = 50 / 11 tons
   * 50 / 11 ≈ 4.5455 tons

4. Find the total tonnage of cargo on the ship:
   * Total tonnage = Cargo in containers + Existing cargo load
   * Total tonnage ≈ 25.5 + 4.5455
   * Total tonnage ≈ 30.0455 tons

### Answer: The total tonnage of the cargo on the ship after loading all 39 containers is approximately 30.0455 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?

Claude-3 Opus:

Let's organize the information we have:
* Jessie initially has $34 in savings
* Her grandma gives her $20

To find out how much money Jessie has now, we need to add her initial savings and the money she received from her grandma.

$34 (initial savings) + $20 (money from grandma) = $54

Therefore, Jessie now has a total of $54.

### Answer: $54

Expected answer: 54

Correct? Yes

Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?

Claude-3 Opus:

Let's organize the information we have:
* Derek has $42 saved up.
* His grandmother gives him an additional $7.

To find out how much money Derek has in total, we need to add the money he saved up and the money his grandmother gave him.

Total money = Money saved up + Money given by grandmother
Total money = $42 + $7
Total money = $49

Therefore, Derek has a total of $49 now.

### Answer: $49

Expected answer: 49

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Calculate the discount amount:
   * Discount = 43/27 dollars
   * Discount = <<43/27=1.5925925925925926>>1.59 dollars (rounded to two decimal places)

2. Calculate the actual amount spent on groceries after the discount:
   * Amount spent on groceries = 43 - 1.59
   * Amount spent on groceries = <<43-1.59=41.41>>41.41 dollars

3. Calculate the cost of the book:
   * Cost of the book = 13/36 dollars
   * Cost of the book = <<13/36=0.3611111111111111>>0.36 dollars (rounded to two decimal places)

4. Calculate the total amount spent:
   * Total amount = Amount spent on groceries + Cost of the book
   * Total amount = 41.41 + 0.36
   * Total amount = <<41.41+0.36=41.77>>41.77 dollars

### Answer: 41.77

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Calculate the total amount of money Jenna had initially:
   * Money saved from her part-time job = $45
   * Money received from her parents = $50
   * Total money = $45 + $50 = $95

2. Convert the cost of the novel from a fraction to a decimal:
   * Cost of the novel = 46/39 dollars
   * 46 ÷ 39 ≈ 1.179487179 (rounded to 9 decimal places)
   * So, the novel cost approximately $1.18

3. Calculate the remaining money after buying the novel:
   * Remaining money = Total money - Cost of the novel
   * Remaining money = $95 - $1.18 = $93.82

Therefore, Jenna has approximately $93.82 left after buying the novel.

### Answer: $93.82

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Initially, you have 27/6 gallons of water in the tank.
   27/6 = 4.5 gallons

2. You pour out 5/40 gallons of water from the tank.
   5/40 = 0.125 gallons
   Remaining water = 4.5 - 0.125 = 4.375 gallons

3. You add 21/26 gallons more to the tank.
   21/26 = 0.8076923076923077 gallons (rounded)
   Total water in the tank = 4.375 + 0.8076923076923077 = 5.182692307692308 gallons

To simplify the fraction:
5.182692307692308 = 5 + 0.182692307692308
0.182692307692308 * 26 = 4.75
5 + 4.75/26 = 135/26 gallons

### Answer: 135/26 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?

Claude-3 Opus:

To find the total distance traveled, we need to multiply the speed of the car by the time it travels.

Given:
- The car is traveling at a steady speed of 28 miles per hour.
- The car travels for 20 hours.

To calculate the distance traveled, use the formula: Distance = Speed × Time

Distance = 28 miles/hour × 20 hours
Distance = 560 miles

Therefore, the car will travel 560 miles in 20 hours at a steady speed of 28 miles per hour.

### Answer: 560 miles

Expected answer: 560

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* Tom initially had $48 in his wallet.
* He bought a book for $19.

To find out how much money Tom has left, we need to subtract the cost of the book from the initial amount he had.

Money left = Initial amount - Cost of the book
Money left = $48 - $19
Money left = $29

Therefore, after buying the book, Tom has $29 left in his wallet.

### Answer: $29

Expected answer: 29

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * James has 19 dollars in his account.
   * He earns 49/44 dollars per hour working online.

2. Convert the fraction 49/44 to a decimal for easier calculation:
   * 49 ÷ 44 ≈ 1.1136363636363635

3. Calculate the amount James earns in one hour:
   * Earnings in one hour = 1.1136363636363635 dollars

4. Add the earnings to the initial amount in his account:
   * Total amount = Initial amount + Earnings in one hour
   * Total amount = 19 + 1.1136363636363635
   * Total amount ≈ 20.1136363636363635 dollars

Therefore, after working for an hour, James will have approximately 20.1136363636363635 dollars in his account.

### Answer: 20.1136363636363635 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?

Claude-3 Opus:

To find out how much less per bag the new vendor charges, we need to calculate the price per bag for both the current supplier and the new vendor.

Current supplier:
- Price: $34 for 8 bags
- Price per bag: $34 ÷ 8 = $4.25 per bag

New vendor:
- Price: $19 for 30 bags
- Price per bag: $19 ÷ 30 = $0.63333... per bag, which rounds to $0.63 per bag

To find the difference in price per bag, we subtract:
$4.25 - $0.63 = $3.62

Therefore, the new vendor charges $3.62 less per bag than the current supplier.

### Answer: $3.62

Expected answer: 217/60

Correct? No

Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?

Claude-3 Opus:

To find out how much Lisa spends per day, we need to divide the total amount she spends by the number of days.

Given:
- Lisa spends $50 over 46 days.

Step 1: Divide the total amount by the number of days.
Amount per day = Total amount ÷ Number of days
Amount per day = $50 ÷ 46
Amount per day = $1.0869565217391304

To make the answer more practical, we can round the amount to the nearest cent.

Step 2: Round the amount per day to the nearest cent.
Amount per day ≈ $1.09

Therefore, Lisa spends approximately $1.09 per day.

### Answer: $1.09

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?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The bottle contains 22/43 liters of juice.
   * You drink 1/4 of the bottle.

2. To find out how many liters of juice you drink, multiply the total amount of juice by the fraction you drink:
   * Liters of juice you drink = (22/43) × (1/4)

3. Multiply the fractions:
   * (22/43) × (1/4) = (22 × 1) / (43 × 4)
   * (22/43) × (1/4) = 22 / 172
   * (22/43) × (1/4) = 11 / 86

4. Simplify the fraction:
   * 11 / 86 cannot be simplified further.

Therefore, you drink 11/86 liters of juice.

### Answer: 11/86 liters

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* John initially had $31 in his wallet.
* He spent $4 on a chocolate bar.

To find out how much money John has left, we need to subtract the amount he spent from the initial amount he had.

Money left = Initial amount - Amount spent
Money left = $31 - $4
Money left = $27

Therefore, after buying the chocolate bar, John has $27 left in his wallet.

### Answer: $27

Expected answer: 27

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * The sports car's initial speed is 40 miles per hour.
   * The car gains an extra speed of 26/24 miles every hour due to the wind.

2. Convert the fraction 26/24 to a decimal for easier calculation:
   * 26 ÷ 24 = 1.0833333... ≈ 1.08 (rounded to two decimal places)

3. Calculate the additional speed gained after one hour:
   * Additional speed = 26/24 miles per hour = 1.08 miles per hour

4. Add the initial speed and the additional speed to find the total speed after one hour:
   * Total speed = Initial speed + Additional speed
   * Total speed = 40 miles per hour + 1.08 miles per hour
   * Total speed = 41.08 miles per hour

Therefore, the sports car's speed after one hour, with the effect of the wind included, would be approximately 41.08 miles per hour.

### Answer: 41.08 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?

Claude-3 Opus:

To solve this problem, we need to add the two fractions of milk together.

Given:
- James initially bought 33/37 gallons of milk.
- He later added 3/25 gallons of milk to the jug.

Step 1: Find a common denominator for the fractions.
The common denominator is the least common multiple (LCM) of 37 and 25.
LCM(37, 25) = 925

Step 2: Convert the fractions to equivalent fractions with the common denominator.
33/37 = (33 × 25) / (37 × 25) = 825/925
3/25 = (3 × 37) / (25 × 37) = 111/925

Step 3: Add the fractions.
825/925 + 111/925 = 936/925

Step 4: Simplify the fraction (if possible).
936/925 cannot be simplified further.

Therefore, James has 936/925 gallons of milk in the jug.

### Answer: 936/925

Expected answer: 936/925

Correct? Yes

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?

Claude-3 Opus:

To solve this problem, we need to add the time spent on the journey and the break. Let's do it step by step:

1. Convert the fractions to decimals for easier calculation:
   * Journey time: 43/17 ≈ 2.529 hours (rounded to 3 decimal places)
   * Break time: 31/4 = 7.75 hours

2. Add the journey time and the break time:
   * Total time = Journey time + Break time
   * Total time = 2.529 + 7.75
   * Total time = 10.279 hours

3. Convert the decimal back to a mixed number:
   * 10.279 hours = 10 hours + 0.279 hours
   * 0.279 hours = 0.279 × 60 minutes ≈ 16.74 minutes
   * 16.74 minutes ≈ 16 minutes + 0.74 minutes
   * 0.74 minutes = 0.74 × 60 seconds ≈ 44.4 seconds ≈ 44 seconds

Therefore, the total time spent on the journey and the break is approximately 10 hours, 16 minutes, and 44 seconds.

### Answer: 10 hours, 16 minutes, and 44 seconds.

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?

Claude-3 Opus:

To solve this problem, let's organize the given information:
* Carrie's car consumes 41 liters of fuel per hour.
* Carrie has driven for 49/48 hours.

Now, let's calculate the amount of fuel consumed:
* Fuel consumed = Fuel consumption per hour × Time driven
* Fuel consumed = 41 liters/hour × 49/48 hours
* Fuel consumed = (41 × 49) ÷ 48 liters
* Fuel consumed = 2009 ÷ 48 liters
* Fuel consumed = 41.85416... liters

Rounding the result to two decimal places:
* Fuel consumed ≈ 41.85 liters

### Answer: 41.85 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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Oscar has $33 saved up.
   * He decides to spend 13/41 of his money on a new video game.

2. To find out how much money Oscar spends on the video game, we need to calculate 13/41 of $33.

3. We can do this by multiplying the fraction 13/41 by $33:
   * 13/41 × $33 = (13 × $33) ÷ 41
   * 13 × $33 = $429
   * $429 ÷ 41 = <<429/41=10.46341463414634>>$10.46 (rounded to the nearest cent)

Therefore, Oscar spends $10.46 on the new video game.

### Answer: $10.46

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?

Claude-3 Opus:

Let's break this down step by step:

1) First, let's calculate how far the turtle travels in 24 seconds at its speed of 19/6 feet per second.

   Distance = Speed × Time
            = (19/6) feet/second × 24 seconds
            = (19 × 24) / 6 feet
            = 456 / 6 feet
            = 76 feet

2) Now, we need to add the 20 feet that the turtle starts ahead from the starting point.

   Total distance = Distance traveled in 24 seconds + Starting distance
                  = 76 feet + 20 feet
                  = 96 feet

### Answer: 96 feet.

Expected answer: 96

Correct? Yes

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?

Claude-3 Opus:

Let's solve this step by step:

1. Understand the given information:
   * The container's capacity is 3 liters.
   * Carlos filled the container with orange juice to 41/49 of its capacity.

2. Calculate the amount of orange juice Carlos poured into the container:
   * Amount of orange juice = Capacity of the container × Fraction of the capacity filled
   * Amount of orange juice = 3 liters × 41/49
   * Amount of orange juice = (3 × 41) ÷ 49
   * Amount of orange juice = 123 ÷ 49
   * Amount of orange juice = 2.51 liters

Therefore, Carlos poured 2.51 liters of orange juice into the container.

### Answer: 2.51 liters

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?

Claude-3 Opus:

To find the distance the train would cover in 5 hours, we need to use the formula:

distance = speed × time

Given:
- The train travels at a speed of 39 kilometers per hour.
- The time is 5 hours.

Let's plug in the values:
distance = 39 km/h × 5 h
distance = 195 km

Therefore, the train would cover a distance of 195 kilometers in 5 hours.

### Answer: 195 kilometers

Expected answer: 195

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Jenny has $3.
   * She finds a rare coin worth 4/37 dollars.

2. Convert the fraction 4/37 to a decimal:
   * 4 ÷ 37 ≈ 0.1081 (rounded to 4 decimal places)

3. Add the value of the rare coin to Jenny's initial amount:
   * $3 + $0.1081 = $3.1081

Therefore, Jenny has a total of $3.1081 after finding the rare coin.

### Answer: $3.1081

Expected answer: 115/37

Correct? No

Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * Henry saves $17 each week.
   * We want to know how much he saves in 5 weeks.

2. Calculate the total amount saved in 5 weeks:
   * Amount saved per week = $17
   * Number of weeks = 5
   * Total amount saved = Amount saved per week × Number of weeks
   * Total amount saved = $17 × 5
   * Total amount saved = $85

Therefore, Henry saved a total of $85 in 5 weeks.

### Answer: $85

Expected answer: 85

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?

Claude-3 Opus:

Let's solve this problem step by step:

1. Understand the given information:
   * You have $15 in your savings account.
   * You spent 17/23 of a dollar on a small sweet.

2. Convert the fraction of a dollar to a decimal:
   * 17 ÷ 23 ≈ 0.7391304347826086
   * Round the result to two decimal places for simplicity: 0.74

3. Subtract the amount spent on the sweet from your savings:
   * Amount left = $15 - $0.74
   * $15 - $0.74 = $14.26

Therefore, after buying the small sweet, you have $14.26 left in your savings account.

### Answer: $14.26

Expected answer: 328/23

Correct? No