Question: Together, Alan and Marcy handed out 150 parking tickets. If Marcy handed out 6 fewer than 5 times as many tickets as Alan, how many tickets did Alan hand out?
Answer: Let a be the number of tickets Alan hands out and m be the number Marcy hands out. We know that a + m = 150 and m = 5a - 6. Substituting the second equation into the first, we get a + 5a - 6 = 150. Adding 2 to both sides, we get a + 5a = 156. Combining like terms, we get 6a = 156. Dividing both sides by 6, we get a = 26. The answer is 26.
[Question]If it takes 10 people 10 days to shovel 10,000 pounds of coal, how many days will it take half of these ten people to shovel 40,000 pounds of coal?
[Answer]The 10 people shovel 10,000 pounds per 10 days, or 10,000 / 10 = 1000 pounds per day per 10 people. And 1000 pounds per day per 10 people is 1000 / 10 = 100 pounds per day per person. Half of ten people is 10 / 2 = 5 people. At 100 pounds per day per person, 5 people can shovel 5 * 100 = 500 pounds per day. Therefore, for 5 people to shovel 40,000 pounds, it will take 40,000 / 500 = 80 days. The answer is 80.
Q: The faucet in Betsy's bathroom is broken. Every minute it drips about 10 times. What amount of water is wasted during one hour if each drop contains 0.05 mL?
A: Every minute, 10 * 0.05 = 0.5 mL of water are wasted. Every hour, 0.5 * 60 = 30 mL of water are wasted. The answer is 30.
Question: Mikail's birthday is tomorrow. He will be 3 times older than he was when he was three. On his birthday, his parents give him $5 for every year old he is. How much money will they give him?
Answer: Mikail is 9 because 3 x 3 = 9. He will get $45 because 9 x $5 = $45. The answer is 45.
[Question]From Sunday to Thursday, Prudence sleeps 6 hours a night. Friday and Saturday she sleeps for 9 hours a night. She also takes a 1-hour nap on Saturday and Sunday. How much sleep does she get in 4 weeks?
[Answer]5 nights a week she sleeps for 6 hours so she sleeps 5 * 6 = 30 hours. 2 nights a week she sleeps for 9 hours so she sleeps 2 * 9 = 18 hours. 2 days a week she naps for 1 hour so she sleeps 2 * 1 = 2 hours. Over 1 week she sleeps 30 + 18 + 2 = 50 hours. Over 4 weeks she sleeps 4 * 50 = 200 hours. The answer is 200.
[Question]The toothpaste in Anne's family's bathroom contains 105 grams. Anne's dad uses 3 grams at each brushing, her mom uses 2 grams, Anne and her brother use 1 gram each. Each member of the family brushes their teeth three times a day. How many days will it take for the toothpaste to run out?
[Answer]
Anne and her brother use 1 gram + 1 gram = 2 grams. Anne's dad uses 3 grams and Anne's mom uses 2 grams so together they use 2 grams + 3 grams + 2 grams = 7 grams / wash. Each day, the family uses 7 grams / wash * 3 washes / day = 21 grams. Using that amount daily, the toothpaste will last 105 grams / 21 grams / day = 5 days. The answer is 5.