Q: 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?
A: 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 is 15.
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?
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 is 4.
[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?
[Answer]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 is 78.
Q: 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?
A: 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 is 140.
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?
Answer: 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 is 30.
Q: 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?
A:
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 is 6.