[Question]There are 320 ducks in a pond. On the first night 1/4 of them get eaten by a fox. On the second night 1/6 of the remaining ducks fly away, and on the third night 30 percent are stolen. How many ducks remain after the three nights?
[Answer]First night:320(1 / 4) = 80. 320 - 80 = 240. Second night:240(1 / 6) = 40. 240 - 40 = 200. Third night:200(.30) = 60. 200 - 60 = 140 ducks remain. The answer is 140.
Q: A bakery sells boxes of doughnuts and if there are any doughnuts left at the end of the day, the bakery gives them away. Each box of doughnuts holds 10 doughnuts and all of the doughnuts that the bakery makes are put into these boxes. The bakery makes 300 doughnuts for the day and sells 27 boxes of doughnuts throughout the day. How many doughnuts are given away at the end of the day?
A: The bakery has made 300 total doughnuts / 10 doughnuts per box = 30 boxes of doughnuts. So at the end of the day, they still have 30 total boxes of doughnuts – 27 sold boxes of doughnuts = 3 boxes of doughnuts leftover. They are therefore giving away 3 boxes of doughnuts * 10 doughnuts per box = 30 doughnuts. The answer is 30.
Question: Paul is working at a university. He is part of a big project, which involves 70 scientists in total. Half of them are from Europe and one-fifth are from Canada. The rest are from the USA. How many scientists in this project are from the USA?
Answer: Of all the scientists taking part in the project, half of them are from Europe, which means 70 * 0.5 = 35 people. The number of researchers from Canada is 70 * 1 / 5 = 14 people. That means there are 70 - 35 - 14 = 21 researchers from the USA. The answer is 21.
[Question]A group of people pays $720 for admission tickets to an amusement park. The price of an adult ticket is $15, and a child ticket is $8. There are 25 more adults than children. How many children are in the group?
[Answer]Let X be the number of children in the group. The number of adults in the group is X + 25. The group pays 8 * X + 15 * (X + 25) = $720. Multiplying through the parentheses, we get 8X + 15X + 375 = $720. Combining like terms, we get 23X + 375 = 720. Subtracting 375 from both sides, we get 23X = 720 - 375 = $345. Dividing both sides by 23, we get X = $345 / 23 = 15 children. The answer is 15.
Q: Paddy's Confidential has 600 cans of stew required to feed 40 people. How many cans would be needed to feed 30% fewer people?
A: If there are 40 people, each person gets 600 / 40 = 15 cans. Thirty percent of the total number of people present is 30 / 100 * 40 = 12. If there are 30% fewer people, the number of people who are to be fed is 40 - 12 = 28. Since each person is given 15 cans, twenty - eight people will need 15 * 28 = 420 cans. The answer is 420.
Question: An animal shelter recently took in twelve cats. The shelter already had half that number of cats. Two days later, three had been adopted. The next day, one of the cats had five kittens, and one person arrived to pick up one of the cats that was their missing pet. How many cats does the shelter have now?
Answer:
The shelter started with 12 / 2 = 6 cats. The cats they took in increased the number to 12 + 6 = 18 cats. Three cats were adopted, so they had 18 - 3 = 15 cats. One cat had 5 kittens, which increased the number of cats to 15 + 5 = 20 cats. The pet owner came to get his missing cat, so they now have 20 - 1 = 19 cats. The answer is 19.