Reasoning and answer: Christopher has 64 quarters so he has 64 * .25 = $16.00. Karen has 32 quarters so she has 32 * .25 = $8.00. If Christopher has $16.00 and Karen has $8.00 then Christopher has 16 - 8 = $8.00 more than Karen.
The answer: 8
What was the question?
Question: Karen has 32 quarters in her piggy bank. Her older brother Christopher has 64 quarters in his piggy bank. How much more money does Christopher have?


Anne's male cat weighs 2 x 2 = 4 kilograms. Thus, Anne is carrying a total of 2 + 4 = 6 kilograms when she carries both of them.
The answer: 6
Reverse engineering the question: Anne's female cat weighs 2 kilograms. Her male cat is two times heavier. If Anne is going to carry both of them, how many kilograms is she carrying?


Reasoning and answer: Troy walks to school and back home for a total of 75 x 2 = 150 meters every day. Emily walks to school and back home for a total of 98 x 2 = 196 meters every day. So Emily walks 196 - 150 = 46 meters farther than Troy every day. In five days, Emily walks 46 x 5 = 230 meters farther.
The answer: 230
What was the question?
Question: Troy's home is 75 meters away from school while Emily's home is 98 meters away from school. Troy and Emily walk to school and back home every day. How much farther does Emily walk to school and back in five days?


He installs 3 * 2 = 6 cabinets over each counter. So he installs 6 * 3 = 18 cabinets over counters. That means he installed a total of 18 + 5 = 23 cabinets. So he has 23 + 3 = 26 cabinets.
The answer: 26
Reverse engineering the question: Jeff decides to install more cabinets in his kitchen. He currently has 3 cabinets over one counter and no other cabinets. He installs twice as many cabinets over 3 different counters each. He then installs 5 more cabinets. How many total cabinets does he have?


Reasoning and answer: First find how many kids from Riverside High are rejected: 20% * 120 kids = 24 kids. Then find how many kids from West Side High are rejected: 70% * 90 kids = 63 kids. Then find how many kids from Mountaintop High are rejected: 50 kids / 2 = 25 kids. Then add the number of kids from each school to find the total number of kids: 120 kids + 90 kids + 50 kids = 260 kids. Then subtract all the kids who were rejected from the total number of kids to find the number who got in: 260 kids - 24 kids - 63 kids - 25 kids = 148 kids.
The answer: 148
What was the question?
Question: Fern is checking IDs to get into an R-rated movie. She denied 20% of the 120 kids from Riverside High, 70% of the 90 kids from West Side High, and half the 50 kids from Mountaintop High. How many kids got into the movie?


Reasoning and answer: The first ball is a third of the size of the third ball, so it used 27 / 3 = 9 feet of yarn. The second ball is twice the size of the first ball, so she used 9 * 2 = 18 feet of yarn.
The answer: 18
What was the question?
Question:
Joy is winding balls of yarn for her cat to play with. The first ball is half the size of the second ball. The third ball is three times as large as the first ball. She used 27 feet of yarn for the third ball. How many feet of yarn did she use for the second ball?