Q: Peter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags?
A: We are trying to figure out how long it will take Peter to rake 8 bags of leaves, so we'll call that Y. And we know Peter can rake 3 bags of leaves / 15 minutes = 8 bags of leaves / Y. Next, we will multiply to find the cross - products. 3 x Y = 15 x 8 or 3Y = 120. We want to get figure out Y, so we need to get it by itself by dividing by 3, like this: 3Y / 3 = 120 / 3 or Y = 40 minutes. The answer is 40.
Question: Sara makes cakes during the five weekdays to sell on weekends. She makes 4 cakes a day and sells her cakes for $8. In 4 weeks she managed to sell all the cakes. How much money did she collect during that time?
Answer: During the week she makes 5 days / week * 4 cakes / day = 20 cakes. After selling them over the weekend she earns 20 cakes * $8 / cake = $160. In 4 weeks she raised $160 / week * 4 weeks = $640. The answer is 640.
[Question]A jewelry box has 10 necklaces and 15 earrings. Jessy goes to the jewelry stores and buys 10 more necklaces and 2/3 as many earrings as before. After returning home, her mother gives her 1/5 times more earrings than the number she purchased at the store. Calculate the total number of jewelry pieces Jessy has in her box if she puts all of them together.
[Answer]The total number of jewelry Jessy had before going to the store is 10 necklaces + 15 earrings = 25. At the store, Jessy bought 2 / 3 * 15 = 10 earrings. When she got back from the store, Jessy received 1 / 5 * 10 = 2 more earrings than the ones she bought at the store from her mother. The total number of earrings Jessy received from her mother is 2 + 10 = 12 earrings. The total number of earrings Jesy has after being given 12 more from her mother is 10 + 12 = 22 earrings outside the jewelry box. When Jessy puts all the jewelry in the box, the total number becomes 22 new earrings + 10 new necklaces + 25(the total number of jewelry she had before) = 57. The answer is 57.
Q: Dallas and Austin went to the pick-your-own orchard. Dallas picked 14 bags of apples and 9 bags of pears. Austin picked 6 bags of apples more than Dallas, and 5 fewer bags of pears than Dallas. How many bags of fruit did Austin pick, in total?
A: He picked 14 + 6 = 20 bags of apples. He picked 9 - 5 = 4 bags of pears. He picked 20 + 4 = 24 bags of fruit in total. The answer is 24.
Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer: The population of Gordonia is 1 / 2 * 80000 people = 40000 people. Toadon has 60 / 100 * 40000 people = 24000 people. The total population of Gordonia and Toadon is 40000 people + 24000 people = 64000 people. The population of Lake Bright is 80000 people - 64000 people = 16000 people. The answer is 16000.
Q: For his birthday, Aku invited 4 friends. His mother bought 3 packages of cookies each containing 25 cookies. After playing football, the children came to eat and celebrate Aku's 10th birthday, each eating an equal number of all the cookies. Calculate the number of cookies that each child will eat.
A:
Let’s first calculate the total number of cookies: 25 X 3 = 75 cookies. Let us now share these cookies among the 5 children: 75 / 5 = 15 cookies. The answer is 15.