[Question]Mr. Wong harvested 560 mangoes from the tree outside his house. He sold half of it at the market and distributed the rest evenly among 8 of his neighbors. How many mangoes does each neighbor receive?
[Answer]Mr. Wong had 560 / 2 = 280 mangoes left. Each of his neighbors received 280 / 8 = 35 mangoes. The answer is 35.
Q: An archaeologist discovered three dig sites from different periods in one area. The archaeologist dated the first dig site as 352 years more recent than the second dig site. The third dig site was dated 3700 years older than the first dig site. The fourth dig site was twice as old as the third dig site. The archaeologist studied the fourth dig site's relics and gave the site a date of 8400 BC. What year did the archaeologist date the second dig site?
A: The third dig site was dated from the year 8400 / 2 = 4200 BC. Thus, the first dig site was dated from the year 4200 - 3700 = 500 BC. The second dig site was 352 years older, so it was dated from the year 500 + 352 = 852 BC. The answer is 852.
Question: Jason is tired of the neighborhood animals raiding his trash. He pepper-sprays some raccoons and 6 times as many squirrels. If he pepper-sprays 84 animals total, how many raccoons does he pepper-spray?
Answer: Let r be the number of raccoons Jason pepper - sprays and s be the number of squirrels. We know that r + s = 84 and s = 6r. Substituting the second equation into the first equation, we get r + 6r = 84. Combining like terms, we get 7r = 84. Dividing both sides by 7, we get r = 12. The answer is 12.
[Question]Miles and Daphne are comparing their reading collection and want to figure out who has more pages. They are about to count each page, but their parents suggest that they see whose collection is taller. Mile's collection is taller, but then Daphne notices that Miles reads board books, and so the pages are thicker. After some more measuring, they figure out that for Miles, 1 inch equals 5 pages, but for Daphne 1 inch equals 50 pages. If Miles's books are 240 inches tall and Daphne's collection is 25 inches tall, how many pages are in the longest collection?
[Answer]Miles's collection has 1,200 pages because 240 x 5 = 1,200. Daphne's collection has 1,250 pages because 25 x 50 = 1,250. The largest collection has 1,250 pages because 1,250 > 1,200. The answer is 1250.
Q: A convenience store sold 100 bags of chips in a month. In the first week, 15 bags of chips were sold. In the second week, thrice as many bags of chips were sold. There was an equal number of chips sold in the third and fourth week. How many chips was each sold in the third and fourth week?
A: In the second week, 15 x 3 = 45 bags of chips were sold. So there was a total of 45 + 15 = 60 bags of chips sold on the first and second week. Thus, a total of 100 - 60 = 40 bags of chips were sold on the third and fourth week. Therefore, 40 / 2 = 20 bags of chips were each sold on the third and fourth week. The answer is 20.
Question: Jordan and Perry took a boat out to the lake to go fishing on a Monday morning. Jordan caught 4 fish and Perry caught double what Jordan caught. On the way back to shore, the boat tipped over and they lost one-fourth of their total catch. How many fish remain?
Answer:
Since Perry caught double what Jordan caught, Perry caught 2 * 4 = 8 fish. Altogether, they caught 8 + 4 = 12 fish. On the way back to the shore, they lost 12 * 1 / 4 = 3 fish. They have 12 - 3 = 9 fish remaining. The answer is 9.