Reasoning and answer: 100000(.20) = 20000$ down payment. 100000 - 20000 = $80000 remaining. 80000(.30) = 24000. 80000 - 24000 = 56000$.
The answer: 56000
What was the question?
Question: Roger bought a house for $100,000. He was able to pay 20% down, and his parents paid off an additional 30% of the remaining balance. How much money does Roger still owe on his house?


Yun has 20 - 12 = 8 paperclips. Marion has 8 / 4 + 7 = 9 paperclips.
The answer: 9
Reverse engineering the question: Yun had 20 paperclips initially, but then lost 12. Marion has 1/4 more than what Yun currently has, plus 7. How many paperclips does Marion have?


Reasoning and answer: First find how many cars have valid tickets: 75% * 300 cars = 225 cars. Then find the percentage of cars with parking passes: 75% / 5 = 15%. Then multiply that number by the total number of cars to find the number with parking passes: 15% * 300 cars = 45 cars. Then subtract all the cars with valid forms of parking to find the number parked illegally: 300 cars - 225 cars - 45 cars = 30 cars.
The answer: 30
What was the question?
Question: Andy is checking to see if all the cars in the parking lot paid for their parking. 75% of the cars have valid tickets, and 1/5th that number have permanent parking passes. If there are 300 cars in the parking lot, how many people tried to park in the lot without paying?


Let x represent the number of brass players in the band. Woodwind:2x. Percussion:4(2x) = 8x. Total:x + 2x + 8x = 110. 11x = 110. x = 10.
The answer: 10
Reverse engineering the question: The marching band has 110 members. There are 4 times as many percussion players as there are woodwind, and twice as many woodwinds as brass. How many brass players are there?


Reasoning and answer: Martha has 11 - 5 = 6 blue and yellow butterflies. Martha has 6 / 3 = 2 yellow butterflies. Martha has 2 * 2 = 4 blue butterflies.
The answer: 4
What was the question?
Question: Martha has 11 butterflies in her collection. She has twice as many blue butterflies as yellow butterflies. The rest of her butterflies are black. If Martha has 5 black butterflies, how many blue butterflies does she have?


Reasoning and answer: The total number of eggs the family had is 3 * 12 = 36 eggs. If each adult received 3 eggs, the total number of eggs they got is 3 * 3 = 9 eggs. The children shared 36 - 9 = 27 eggs. Since each girl received an egg, the boys shared 27 - 7 = 20 eggs. If each boy received 1 egg more than each girl, each received 1 + 1 = 2 eggs. The boys received 20 eggs, and if each got 2 eggs, then 20 / 2 = 10 boys went on the trip.
The answer: 10
What was the question?
Question:
A family has three adults and children, both girls and boys. They went out for a family trip and prepared 3 dozen boiled eggs for the trip. Every adult got 3 eggs, and the boys each received 1 more egg than each girl since the girls had some snacks. How many boys went on the trip if the number of girls was 7 and each girl received an egg?