[Question]Buoys are placed in the ocean at even intervals away from the beach to help swimmers monitor how far away from the beach they have swum. If a swimmer reaches the third buoy, they have swum out 72 meters. How many meters from the beach is the fourth buoy?
[Answer]The buoys are evenly spaced, so the first buoy is 72 / 3 = 24 meters from the beach. Thus, the fourth buoy is 24 * 4 = 96 meters from the beach. The answer is 96.
Q: Mrs. Young buys a 300 piece puzzle set for her three sons. She divides the pieces evenly to the three boys. Reyn can place 25 pieces into the puzzle picture. Rhys places twice as much as Reyn. Rory places three times as much as Reyn. Altogether, how many puzzle pieces are still left to be placed?
A: Each son receives 300 / 3 = 100 pieces. Rhys places 25 x 2 = 50 pieces. Rory places 25 x 3 = 75 pieces. All three boys place 25 + 50 + 75 = 150 pieces. The boys have not placed 300 - 150 = 150 pieces. The answer is 150.
Question: Brianna reads two books a month. This year, she was given six new books as a gift, she bought eight new books, and she plans to borrow two fewer new books than she bought from the library. How many of her old books from her old book collection will she have to reread to have two books to read a month this year?
Answer: Brianna needs 12 * 2 = 24 books to get her through the year. She will borrow 8 - 2 = 6 new books from the library. With the books she was given, the books she bought, and the library books, she will have 6 + 8 + 6 = 20 new books to read this year. Thus, she will need to reread 24 - 20 = 4 of her old books this year. The answer is 4.
[Question]Danny helps his friends carpool to work. He has to drive 8 miles to the first friend's house, half that distance to the second friend's house, then 3 times the total distance driven so far to get to work. How many miles does Danny drive between the second friend's house and work?
[Answer]First find the distance to the second friend's house by halving the distance to the first friend's house: 8 miles / 2 = 4 miles. Then add that amount to the distance to the first friend's house: 4 miles + 8 miles = 12 miles. Then triple that number to find the distance from the second friend's house to work: 12 miles * 3 = 36 miles. The answer is 36.
Q: Alex is stacking his books in a pyramid. Each level of the pyramid has 80% as many books as the number of books in the previous level. If he makes four levels and the top level has 64 books, how many books are in the pyramid in total?
A: The third level has 80 books because 64 / .8 = 80. The second level has 100 books because 80 / .8 = 100. The first level has 125 books because 100 / .8 = 125. In total there are 369 books because 64 + 80 + 100 + 125 = 369. The answer is 369.
Question: Rubert has 4 times the number of candies James has. James has 3 times the number of candies Adam has. If Adam has 6 candies, how many candies do the three of them have in total?
Answer:
James has 3 * 6 candies = 18 candies. Rubert has 4 * 18 candies = 72 candies. So, the three of them have 6 candies + 18 candies + 72 candies = 96 candies. The answer is 96.