Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets.
The answer: 220
Reverse engineering the question: Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?


Reasoning and answer: Mr. Wong had 560 / 2 = 280 mangoes left. Each of his neighbors received 280 / 8 = 35 mangoes.
The answer: 35
What was the question?
Question: Mr. Wong harvested 560 mangoes from the tree outside his house. He sold half of it at the market and distributed the rest evenly among 8 of his neighbors. How many mangoes does each neighbor receive?


The fair made $2520 from tickets, so they had 2520 / 5 = 504 people attend the fair. Two - thirds of those people will buy food, so 504 * 2 / 3 = 336 people will buy food. The fair will make 336 * 8 = $2688 from food. A quarter of the people will go on a ride, so 504 / 4 = 126 people will go on a ride. The fair will make 126 * 4 = $504 from rides. An eighth of the people will buy a souvenir, so 504 / 8 = 63 people will buy souvenirs. The fair will make 63 * 15 = $945 from souvenirs. In all, the fair will make 2520 + 2688 + 504 + 945 = $6657.
The answer: 6657
Reverse engineering the question: A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all?


Reasoning and answer: First figure out how old Ana is right now by subtracting 3 from 15: 15 - 3 = 12. Next, figure out how old Billy is by dividing Ana's age by 2: 12 / 2 = 6. Now figure out how old Mark is by adding 4 to Billy's age: 6 + 4 = 10. Now, to figure out Sarah's age, first multiply Mark's age by 3: 10 * 3 = 30. Finally, subtract 4 from triple Mark's age to find Sarah's age: 30 - 4 = 26.
The answer: 26
What was the question?
Question: Sarah's age is equal to three times Mark's age minus 4. Mark is four years older than Billy. Billy is half Ana's age. If Ana will be 15 in 3 years, how old is Sarah?


There were 45 kids + 123 adults = 168 people at the reunion. All the people sat at 14 tables, so 168 people / 14 tables = 12 people per table.
The answer: 12
Reverse engineering the question: At the Taylor family reunion, there were 45 kids and 123 adults. When they sat down to eat, there were 14 tables. How many people sat at each table?


There are 10 x 15 = 150 squares in a grid. 4 x 6 = 24 squares are colored red. There are 2 + 2 = 4 rows that are all blue. Thus, a total of 4 x 15 = 60 squares are colored blue. 24 + 60 = 84 squares are color red or blue. Therefore, 150 - 84 = 66 square are green.
The answer: 66
Reverse engineering the question:
Marla has a grid of squares that has 10 rows and 15 squares in each row. She colors 4 rows of 6 squares in the middle of the grid with red. She colors all squares on the first 2 and last 2 rows with blue. Then she colors the rest with green. How many squares does Marla color green?