[Question]A park warden has issued 24 citations over the past three hours. He issued the same number for littering as he did for off-leash dogs, and he issued double the number of other citations for parking fines. How many littering citations did the warden issue?
[Answer]Let L be the number of littering citations the warden issued. He issued 2L citations for littering and off - leash dogs, and 2 * 2L = 4L citations for parking fines. In all, he issued 2L + 4L = 6L = 24 citations. Thus, he issued L = 24 / 6 = 4 citations for littering. The answer is 4.
Q: Tim has 30 less apples than Martha, and Harry has half as many apples as Tim. If Martha has 68 apples, how many apples does Harry have?
A: Tim has 68 - 30 = 38 apples. Harry has 38 / 2 = 19 apples. The answer is 19.
Question: Emma bought 3 dozens of macarons in addition to her 10 pieces of macarons for a party. If 15 pieces of macarons are left over, how many pieces of macarons were eaten?
Answer: Three dozens of macarons are equal to 3 x 12 = 36 pieces of macarons. So Emma has a total of 36 + 10 = 46 pieces of macarons for the party. Therefore, 46 - 15 = 31 pieces of macarons were eaten. The answer is 31.
[Question]Collin learned that he could earn $0.25 per aluminum can that he brought into the recycling center. He found 12 cans at home and three times as many at his grandparents' house. His neighbor gave him 46. His dad brought home 250 cans from the office. His dad told him he could keep the money from the cans he brought home from the office if he promised to put half of his entire amount collected into savings. How much money would Collin have to put into savings?
[Answer]He found 12 and his grandparents gave him three times that amount so he got 12 * 3 = 36 cans from his grandparents. All total he collected 12 cans, the 36 from his grandparents, 46 from the neighbor and 250 from his dad for a total of 12 + 36 + 46 + 250 = 344 cans. Each can is worth $0.25 so .25 * 344 = $86.00. He agreed to put half of the $86 earned into savings so he will save 86 / 2 = $43.00. The answer is 43.
Q: Nadia is learning to play the piano. She normally makes 3 mistakes per 40 notes and can play about 60 notes a minute. If she plays for 8 minutes how many mistakes will she make on average?
A: She plays 480 notes because 8 x 60 = 480. This is 12 blocks of 40 notes because 480 / 40 = 12. She makes 36 mistakes because 12 x 3 = 36. The answer is 36.
Question: Natalie's father has saved up $10,000 to split up between his kids. Natalie will get half, as she is the oldest. Rick will get 60 percent of the remaining money, and Lucy will get whatever is left after Natilie and Rick get paid. How much money does Lucy get?
Answer:
Natalie: 10000 / 2 = 5000$. 10000 - 5000 = 5000. Rick:5000(.60) = 3000$. 5000 - 3000 = 2000$ left for Lucy. The answer is 2000.