Q: Jennifer is building tanks to hold her goldfish. She built 3 tanks that will hold 15 fish each, heated, and filled them. She plans to build the rest of the tanks equipped with heaters, and they will hold 10 fish each. If she needs to build enough tanks to house a total of 75 fish, how many more will she need to build?
A: With the tanks already built it has room for 3 tanks * 15 fish / tank = 45 fish. The total of fish that still lack space is 75 fish - 45 fish = 30 fish. This means Jennifer needs 30 fish / 10 fish / tank = 3 tanks of 10 fish. The answer is 3.
Question: Mancino is tending 3 gardens that each measure 16 feet by 5 feet. His sister, Marquita, is tilling the soil for two gardens that each measure 8 feet by 4 feet. How many square feet combined are in all their gardens?
Answer: 3 * (16 * 5) = 240 square feet. 2 * (8 * 4) = 64 square feet. 240 + 64 = 304 square feet. The gardens have a total of 304 square feet. The answer is 304.
[Question]An elevator is on the 9th floor. It goes down 7 floors, then up 3 floors, then up 8 floors. If the elevator is on the top floor, how many floors are there in the building?
[Answer]From the 9th floor, the elevator went down to the 9 - 7 = 2nd floor. Then went up to the 2 + 3 = 5th floor. Then, went up to the 5 + 8 = 13th floor; hence there are 13 floors in the building. The answer is 13.
Q: Going into the final game, Duke is so close to breaking the school's record for most points scored in a basketball season. He only needs 17 more points to tie the record. By the end of the game, Duke breaks the record by 5 points. The old record was 257 points. In the final game Duke made 5 free throws (worth one point), and 4 regular baskets (worth two points), and some three-pointers. Normally, he scores 2 three-pointers a game. How many more three-pointers did he score in the final game compared to his normal amount?
A: Duke scored 22 points in the final game because 17 + 5 = 22. He scored 5 points of free - throws, because 5 x 1 = 5. He scored 8 points of regular baskets because 4 x 2 = 8. He made 9 points of three - pointers because 22 - 5 - 8 = 9. He scored 3 three - pointers in the final game because 9 / 3 = 3. Duke scored 1 more than normal because 3 - 2 = 1. The answer is 1.
Question: Ellie went to visit a circus with Sarah and they both got lost in the house of mirrors. They have to travel through the house of mirrors a few times before they finally get out and when they leave, they discuss how many times they've seen their own reflections. Sarah says that every time they were in the room with tall mirrors, she saw her reflection 10 times and every time they were in the room with wide mirrors, she saw her reflection 5 times. Ellie says that every time they were in the room with tall mirrors, she saw her reflection 6 times and every time they were in the room with wide mirrors she saw her reflection 3 times. They both passed through the room with tall mirrors 3 times each and they both passed through the room with wide mirrors 5 times each. In total, how many times did Sarah and Ellie see their reflections?
Answer: In the rooms with tall mirrors, Sarah saw her reflection a total of 10 reflections * 3 passes = 30 times. In the rooms with wide mirrors, Sarah saw her reflection a total of 5 reflections * 5 passes = 25 reflections. So Sarah saw her reflection a total of 30 + 25 = 55 times. In the rooms with tall mirrors, Ellie saw her reflection a total of 6 reflections * 3 passes = 18 times. In the rooms with wide mirrors, Ellie saw her reflection a total of 3 reflections * 5 passes = 15 times. So Ellie saw her reflection a total of 18 + 15 = 33 times. Therefore, Sarah and Ellie saw their reflections a total of 55 + 33 = 88 times. The answer is 88.
Q: James runs a TV show and there are 5 main characters and 4 minor characters. He pays the minor characters $15,000 each episode. He paid the major characters three times as much. How much does he pay per episode?
A:
He pays the minor characters 15000 * 4 = $60,000. The major characters each get 15000 * 3 = $45,000. So he pays the main characters 45,000 * 5 = $225,000. So in total he pays 225,000 + 60,000 = $285,000. The answer is 285000.