Question: Barbeck has two times as many guitars as Steve, but Davey has three times as many guitars as Barbeck. If there are 27 guitars altogether, how many guitars does Davey have?
Answer: Let x = the number of guitars Steve has. Barbeck has 2x guitars, and Davey has 3 * 2x = 6x guitars. 2x + 6x + x = 27. 9x = 27. x = 27 / 9 = 3 so Steve has 3 guitars. Barbeck has 2 * 3 = 6 guitars. And Davey has 3 * 6 = 18 guitars. The answer is 18.
[Question]There are 350 trees in the park, 70% of which are pine trees. How many are not pine trees?
[Answer]There are 350 x 70 / 100 = 245 pine trees. Therefore, 350 - 245 = 105 trees are not pine trees. The answer is 105.
Q: 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?
A: Mr. Wong had 560 / 2 = 280 mangoes left. Each of his neighbors received 280 / 8 = 35 mangoes. The answer is 35.
Question: A question and answer forum has 200 members. The average number of answers posted by each member on the forum is three times as many as the number of questions asked. If each user posts an average of 3 questions per hour, calculate the total number of questions and answers posted on the forum by its users in a day.
Answer: If each user posts an average of 3 questions per hour, the average number of answers posted on the forum is 3 times the number of questions which totals to 3 * 3 = 9 answers per. hour. In a day, with 24 hours, the average number of questions asked by each member is 24 * 3 = 72,. If there are 200 users of the forum, the total number of questions asked is 200 * 72 = 14400 questions in a day. At the same time, a member posts an average of 9 * 24 = 216 answers in a day. Since there are 200 members who use the forum, the total number of answers posted in the forum in a day is 200 * 216 = 43200. In total, the number of questions and answers posted on the forum is 43200 + 14400 = 57600. The answer is 57600.
[Question]Zander collected 100 stickers. He gave some of his stickers to his two friends, Andrew and Bill. Andrew received 1/5 of Zander's stickers, while Bill received 3/10 of the remaining stickers. How many stickers did Andrew give to his two friends?
[Answer]Andrew received 100 x 1 / 5 = 20 stickers. So, there were 100 - 20 = 80 stickers left. Bill received 80 x 3 / 10 = 24 stickers. Therefore, Andrew gave away 20 + 24 = 44 stickers. The answer is 44.
[Question]Ivan has a bird feeder in his yard that holds two cups of birdseed. Every week, he has to refill the emptied feeder. Each cup of birdseed can feed fourteen birds, but Ivan is constantly chasing away a hungry squirrel that steals half a cup of birdseed from the feeder every week. How many birds does Ivan's bird feeder feed weekly?
[Answer]
The squirrel steals 1 / 2 cup of birdseed every week, so the birds eat 2 - 1 / 2 = 1 1 / 2 cups of birdseed. Each cup feeds 14 birds, so Ivan's bird feeder feeds 14 * 1 1 / 2 = 21 birds weekly. The answer is 21.