Reasoning and answer: If the bakery can make 12 pies, this means there would be 12 * 3 = 36 pie pieces. For all the pieces the bakery would make 36 * 4 = $144. The cost of making 12 pies is 12 * 0.5 = $6. That means the bakery would make 144 - 6 = $138.
The answer: 138
What was the question?
Question: One pie costs $4 for a piece. Each pie is having 3 pieces. During one hour the bakery can make 12 pies. Creating one pie costs the bakery $0.5. Considering the bakery would be able to sell all pie pieces, how much money would it make?
First find how many days Cassidy is grounded for the low grades: 4 grades * 3 days / grade = 12 days. Then add that time to the 14 days she's grounded for lying to find the total grounding length: 12 days + 14 days = 26 days.
The answer: 26
Reverse engineering the question: Cassidy is grounded for 14 days for lying about her report card, plus 3 extra days for each grade below a B. If Cassidy got four grades below a B, how long is she grounded for?
Reasoning and answer: He now buys 4 / 2 = 2 coffees. The new price is 2 * .5 = $1 more than the old price. So he now pays 2 + 1 = $3 per coffee. So he spends 3 * 2 = $6. He used to spend 4 * 2 = $8. So he saves 8 - 6 = $2 per day.
The answer: 2
What was the question?
Question: John used to buy 4 coffees a day for $2 each. They raised the price by 50% so he cut the number of coffees he drinks in half. How much money does he save per day compared to what he used to spend?
Two boxes of crayons have 24 x 5 / 8 = 15 unused crayons from each box. So, a total of 15 x 2 = 30 unused crayons are in the two boxes. For the other 2 boxes, there are 24 x 2 / 3 = 16 used crayons from each box. Hence, there are 24 - 16 = 8 unused crayons. So, a total of 8 x 2 = 16 unused crayons are in the other two boxes. Therefore, Madeline has a total of 30 + 16 + 24 = 70 unused crayons.
The answer: 70
Reverse engineering the question: Madeline has 5 boxes with 24 crayons in each. She noticed that 5/8 of the crayons in the 2 boxes were not yet used. In the 2 other boxes, only 2/3 of the crayons were used while the last box was not entirely used. How many unused crayons did Madeline have?
Reasoning and answer: Their 1st child was born 15 years ago, and therefore is 15 years old. Their 2nd child was born 1 year after their 15 - year - old child, and therefore is 15 - 1 = 14 years old. Their 3rd child was born 4 years after their 14 - year - old child, and therefore is 14 - 4 = 10 years old. Their 4th child was born 2 years after their 10 - year - old child, and therefore is 10 - 2 = 8 years old.
The answer: 8
What was the question?
Question: Jolene and Phil have four children, each with the same birthday. They gave birth to their first child exactly 15 years ago. They gave birth to their second child exactly one year after the birth of their first child. They gave birth to their third child on the fourth birthday of their second child. Two years after the birth of their third child, they gave birth to their fourth child. How old, in years, is their fourth child?
Reasoning and answer: Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20 * 2 = 40 problems. Frank composes 3 times as many as Ryan does, so this means Frank composes 40 * 3 = 120 problems. Since Frank needs to submit 4 types of problems in equal proportion out of his total, this means he needs to make 120 / 4 = 30 problems of each type.
The answer: 30
What was the question?
Question:
Bill composes 20 total math questions for money. Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan. Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose?