Eggs in cheesecakes = 8 * 9 = 72. Eggs in chocolate cake = 5 * 3 = 15. 72 - 15 = 57. Nine cheesecakes need 57 more eggs than 5 chocolate cakes.
The answer: 57
Reverse engineering the question: A chocolate cake needs 3 eggs per cake. Cheesecake requires 8 eggs for each cheesecake. How many more eggs are needed for 9 cheesecakes than are needed for 5 chocolate cakes?


Reasoning and answer: Tina buys 3 12 - packs of soda, for 3 * 12 = 36 sodas. 6 people attend the party, so half of them is 6 / 2 = 3 people. Each of those people drinks 3 sodas, so they drink 3 * 3 = 9 sodas. Two people drink 4 sodas, which means they drink 2 * 4 = 8 sodas. With one person drinking 5, that brings the total drank to 5 + 9 + 8 = 22 sodas. As Tina started off with 36 sodas, that means there are 36 - 22 = 14 sodas left.
The answer: 14
What was the question?
Question: Tina buys 3 12-packs of soda for a party. Including Tina, 6 people are at the party. Half of the people at the party have 3 sodas each, 2 of the people have 4 and 1 person has 5. How many sodas are left over when the party is over?


Carmela's four cousins have a total of $2 x 4 = $8. The total money they all have is $7 + $8 = $15. There will be 1 (Carmela) + 4 (cousins) = 5 people who will be sharing equally the money. So each of them should get $15 / 5 = $3. Hence, Carmela has to give a total of $7 - $3 = $4 to her 4 cousins. Therefore, each of her cousins will get $4 / 4 = $1.
The answer: 1
Reverse engineering the question: Carmela has $7 and each of her four cousins has $2. How much will Carmela have to give to each of her cousins so that she and her cousins will have the same amount of money?


Reasoning and answer: Ken's house is twice as far from Dawn's house as Mary's, so the distance between Ken's and Mary's is half that between Ken's and Dawn's (4 miles) which means the former is (1 / 2) * 4 miles = 2 miles. If Ken goes from his house to Dawn's, he has covered 4 miles. He goes from there to Mary's (2 miles, same as Ken's to Mary's) for a total of 4 + 2 = 6 miles. He goes back to Dawn's (another 2 miles) for a total of 6 + 2 = 8 miles. Then he goes to his own house (4 miles) for a final total of 8 + 4 = 12 miles.
The answer: 12
What was the question?
Question: If Ken's house is twice as far from Dawn's house as Mary's house along a certain road, and Ken's house is 4 miles away from Dawn's house along this same road, how much distance (in miles) will Ken cover if he goes from his house to Dawn's house, then Mary's, then back to Dawn's before going back to his own house?


Grace mowed lawns for 63 hours at $6 / hour, so earned 63 * 6 = $378. Grace pulled weeds for 9 hours at $11 / hour, so earned 9 * 11 = $99. Grace put down mulch for 10 hours at $9 / hour, so earned 10 * 9 = $90. During September Grace earned $378 + $99 + $90 = $567.
The answer: 567
Reverse engineering the question: Grace started her own landscaping business. She charges $6 an hour for mowing lawns, $11 for pulling weeds and $9 for putting down mulch. In September she mowed lawns for 63 hours, pulled weeds for 9 hours and put down mulch for 10 hours. How much money did she earn in September?


The total cost of the hummus is 2 * $5 = $10. The total cost of the chicken, bacon, and vegetables is $20 + $10 + $10 = $40. The remaining money she has is $60 - $10 - $40 = $10. The amount of apples she can purchase is $10 / $2 = 5.
The answer: 5
Reverse engineering the question:
Joan is at the grocery store. She has a total of $60 to spend. She is going to purchase 2 containers of hummus, which are $5 each. She is going to purchase chicken for $20, bacon for $10, and vegetables for $10. She wants to purchase apples which are $2 each. With her remaining money, how many apples can she purchase?