There are C cans of cherry soda in the cooler. There are twice as many cans of orange pop, so there are 2C cans of orange pop in the cooler. In all, there are C + 2C = 3C = 24 cans in the cooler. Therefore, there are C = 24 / 3 = 8 cans of cherry soda in the cooler.
The answer: 8
Reverse engineering the question: A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there?
Reasoning and answer: After getting six games from Henry, Neil has 6 + 7 = 13 games. Now, Henry has 13 * 4 = 52 games. Henry had 52 + 6 = 58 games at first.
The answer: 58
What was the question?
Question: Henry had some games, and he gave six of them to Neil. Now, Henry has 4 times more games than Neil. If Neil had 7 games at first, how many games did Henry have at first?
Let X be the number of adults attending the concert. The number of children attending the concert is 3 * X. The theater collected a total of 7 * X + 3 * (3 * X) = $6,000. Multiplying through the parentheses we get 7X + 9X = $6,000. Adding like terms we get 16X = $6,000. Dividing both sides by 16 we get X = 375, the number of adults attending the concert. The number of children attending the concert is triple this number: 375 adults * 3 children / adult = 1125 children. The number of people attending the concert is 375 + 1125 = 1500 people.
The answer: 1500
Reverse engineering the question: Three times as many children as adults attend a concert on Saturday. An adult ticket costs $7 and a child's ticket costs $3. The theater collected a total of $6,000. How many people bought tickets?
Reasoning and answer: Henry has 23 - 3 = 20 rock CDs. Henry has 20 / 2 = 10 classical CDs.
The answer: 10
What was the question?
Question: In Henry's collection of music CDs, he has 3 more country CDs than rock CDs but twice as many rock CDs as classical CDs. If he has 23 country CDs, how many classical CDs make up his collection?
The dryer costs $100 - $30 = $70. So the washing machine and dryer cost $100 + $70 = $170. Hannah got $170 x 10 / 100 = $17 discount. Thus, Hannah paid $170 - $17 = $153.
The answer: 153
Reverse engineering the question: Hannah bought a new washing machine for $100 and a dryer that costs $30 less. Hannah got a 10% discount for buying two appliances. How much did Hannah pay for the two appliances after the discount?
In the first stretch he drove 80 miles / hour x 6 hours = 480 miles. In the second stretch he drove 60 miles / hour x 4 hours = 240 miles. After the gas station he drove 40 miles / hour x 2 hours = 80 miles. In total he drove 480 miles + 240 miles + 80 miles = 800 miles.
The answer: 800
Reverse engineering the question:
Jeff was driving to the capital city to attend a conference. At first, he was driving at 80 miles/hour for about 6 hours, then the speed limit changed and he had to slow down to 60 miles/hour, and so he drove at this speed for 4 hours. Then he made a stop at a gas station. Once the car was full of gas, he drove at 40 miles/hour the rest of the trip for 2 hours. How many miles did he travel?