First subtract the 12 confiscated firecrackers from the original number: 48 firecrackers - 12 firecrackers = 36 firecrackers. Then multiply this number by 1 / 6 to find how many were defective: 36 firecrackers * 1 / 6 = 6 firecrackers. Then subtract the defective firecrackers to find how many were good: 36 firecrackers - 6 firecrackers = 30 firecrackers. Then divide this number in half to find how many firecrackers Jerry set off: 30 firecrackers / 2 = 15 firecrackers.
The answer: 15
Reverse engineering the question: Jerry bought 48 firecrackers for the 4th of July. A police officer discovered and confiscated 12 of them. 1/6 of the remaining ones were defective. If Jerry set off half the good firecrackers, how many firecrackers did he set off?


Reasoning and answer: Let x represent the number of tent stakes. Drink Mix: 3x. Bottles of Water: x + 2. Total: x + 3x + x + 2 = 22. 5x + 2 = 22. 5x = 20. x = 4 tent stakes.
The answer: 4
What was the question?
Question: Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of water. She bought 3 times as many packets of drink mix as tent stakes. She also bought 2 more bottles of water than she did tent stakes. How many tent stakes did she buy?


Two times the sodas Marcy had is 22 * 2 = 44. Tina gave Marcy 44 + 12 = 56 soda. In total Marcy has 22 + 56 = 78 sodas.
The answer: 78
Reverse engineering the question: Marcy had 22 sodas in her fridge for a party. Her friend Tina came over and gave her 12 plus two times the number of sodas Marcy had before. How many sodas will Marcy have for the party?


Reasoning and answer: She starts with $5.00 a week for 4 weeks so that’s 5 * 4 = $20.00. Then she bumps it up to $10.00 a week for 4 weeks so that’s 10 * 4 = $40.00. After that, she saves $20.00 a week for 4 weeks so that’s 20 * 4 = $80.00. Over 12 weeks she has saved 20 + 40 + 80 = $140.00.
The answer: 140
What was the question?
Question: Sarah starts saving $5.00 a week for 4 weeks. Then she saves $10.00 a week for the next 4 weeks. Then she saves $20.00 a week for the next 4 weeks. How much money has she saved over 12 weeks?


First, we need to determine how many points Righty scored. To do this we perform 20 / 2 = 10 points since Righty scored half as many as Lefty did. Then, to find the other teammate's points we perform 10 * 6 = 60 points scored, as they scored 6 times as many as Righty did. We then add all three teammates' points together, performing 20 + 10 + 60 = 90 points as the first step towards finding the average. We then divide this sum by the total number of players we're averaging, getting 90 / 3 = 30 points per player.
The answer: 30
Reverse engineering the question: Lefty scores 20 points in a game and his teammate Righty scores half as many as Lefty does. Their other teammate scores 6 times as much as Righty does. What are the average points scored per player on the team?


For half of the cupcakes, Stephanie wants to use 1 candle each. Since half of the cupcakes is 24 / 2 and she plans to use 1 candle each for this half of the cupcakes, Stephanie needs (24 / 2) * 1 = 12 candles for this half of the cupcakes. For the other half of the cupcakes, Stephanie wants to use 2 candles. Therefore, she will need (24 / 2) * 2 = 24 candles for this half of the cupcakes. Because Stephanie needs 12 candles for half of the cupcakes and 24 candles for the other half, she needs a total of 12 + 24 = 36 candles. Since Stephanie needs 36 candles to decorate all the cupcakes and she currently has 30 candles, Stephanie needs 36 - 30 = 6 additional candles.
The answer: 6
Reverse engineering the question:
Stephanie is decorating 24 cupcakes for a birthday party, but she needs more candles. She currently has a total of 30 candles. She wants to decorate half of the cupcakes with 1 candle each and the other half of the cupcakes with 2 candles each. How many additional candles does Stephanie need to complete the cupcakes?