Last year Ella made a total of $100 / (40 / 100) = $250. This year with her raise, Ella’s salary will be $250 * (110 / 100) = $275.
The answer: 275
Reverse engineering the question: Ella spends 40% of the money she makes from babysitting on video games. Last year she spent $100. This year she received a 10% raise. What is Ella’s new salary?


Reasoning and answer: They collected $250 from Bronze Status families because 10 times 25 equals 250. They collected $350 from Silver Status families because 7 times 50 equals 350. They collected $100 from Gold Status families because 1 times 100 equals 100. Therefore, they collected $700 thus far because 250 plus 350 plus 100 equals 700. They need to collect $50 more because 750 minus 700 equals 50.
The answer: 50
What was the question?
Question: The school decided to have a fundraiser to collect $750 for new basketball equipment. Families could donate $25, $50, or $100. Families who donated $25 got Bronze Status. Families who donated $50 got Silver Status. Families who donated $100 got Gold Status. With one day left in the fundraiser, the school has 10 Bronze Status families, 7 Silver Status Families and 1 Gold Status family. How much do they need to raise on the final day to reach their goal?


He gave 2 * 20 = $40. So the total cost was 40 - 16 = $24. That means each slice costs 24 / 3 = $8. That means it costs 8 * 100 = 800 cents. So each slice is 800 / 20 = 40 cents.
The answer: 40
Reverse engineering the question: Tim buys 3 loaves of bread. Each loaf of bread has 20 slices. He pays for the 3 loaves of bread with 2 $20 bills. He gets $16 change. How much does each slice cost, in cents?


Reasoning and answer: The dog that likes blueberries ate 3 / 4 * 60 = 45 blueberries, 3 / 4 as many blueberries as the number of bonnies eaten by the third dog. The total number of fruits eaten by the dog that likes bonnies and the one that like blueberries is 45 + 60 = 105. The first dog that likes apples ate 3 * 45 = 135 apples which are 3 times as many blueberries as the number eaten by the dog that likes blueberries. In total, the three dogs ate 105 + 135 = 240 fruits.
The answer: 240
What was the question?
Question: There are three dogs in the backyard. They like apples, blueberries, and bonnies. The first dog, which likes apples, eats 3 times as many apples as the number of blueberries eaten by the second dog that likes blueberries. The dog that likes blueberries eats 3/4 times as many blueberries as the number of bonnies eaten by the third dog. If the dog that likes bonnies ate 60 of them, calculate the total number of fruits eaten by the three dogs?


First find the total sentence length for the arson: 6 years / count * 2 counts = 12 years. Then find the total sentence length for the explosives: 12 years * 2 = 24 years. Then add each sentence to find the total sentence length: 12 years + 24 years + 20 years = 56 years.
The answer: 56
Reverse engineering the question: James decides to use tannerite to blow things up to reveal his baby's gender. The explosion ignites both his neighbors' houses and attracts a police officer, who arrests James on two count of arson, one count of manufacturing explosives, and one count of domestic terrorism. If the arson counts each carry a 6-year sentence, the explosives sentence is twice as long as the total arson sentence, and the domestic terrorism charge's sentence is 20 years, how long might James spend in jail?


Lilith had 5 dozen water bottles, and since a dozen has 12 water bottles, the total number of water bottles she had was 12 bottles / dozen * 5 dozen = 60 bottles. To buy her friend the birthday gift, Lilith originally had to sell her water bottles for a total of 60 bottles * $2 / bottle = $120. When she reduced the price to $1.85 to meet the regular price, the total amount of money she had from the sales was $1.85 / bottle * 60 bottles = $111. To buy her friend the birthday gift, Lilith has to find $120 - $111 = $9 more.
The answer: 9
Reverse engineering the question:
Lilith originally had five dozen water bottles that she needed to sell at $2 each to get exactly enough money to buy her friend a birthday gift. However, at the store, Lilith realized she could not sell at $2 because the regular price was $1.85 per water bottle in her town, and she had to reduce her price to $1.85 as well to sell her water bottles. Calculate the total amount of money Lilith will have to find to buy her friend the birthday gift after selling her water bottles at the reduced cost.