[Question]Uncle Jude baked 256 cookies. He gave 15 cookies to Tim, 23 cookies to Mike, kept some in the fridge and gave the rest to Anna. How many cookies did he put in the fridge if he gave twice as many cookies as he gave Tim to Anna?
[Answer]He gave twice 15 cookies to Anna which is 2 * 15 = 30 cookies. He gave out a total of 15 + 23 + 30 = 68 cookies. The remainder in the fridge is 256 - 68 = 188 cookies. The answer is 188.
Q: There are some lions in Londolozi at first. Lion cubs are born at the rate of 5 per month and lions die at the rate of 1 per month. If there are 148 lions in Londolozi after 1 year, how many lions were there in Londolozi at first?
A: There are 5 - 1 = 4 more lions each month. There will be 4 * 12 = 48 more lions after 1 year. There were 148 - 48 = 100 lions in Londolozi at first. The answer is 100.
Question: Jake has $5000. He spends $2800 on a new motorcycle, and then spends half of what's left on a concert ticket. Jake then loses a fourth of what he has left. How much money does he have left?
Answer: Jake has 5000 - 2800 = $2200 left. Jake has 2200 / 2 = $1100. Jake loses 1100 / 4 = $275. Jake has 1100 - 275 = $825 left. The answer is 825.
[Question]Stella and Twinkle are filling up a truck with a capacity of 6000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take?
[Answer]Stella and Twinkle filled up the truck at the rate of 250 blocks per hour per person, a total of 2 * 250 = 500 blocks per hour for both. After working for four hours, Stella and Twinkle had filled 4 * 500 = 2000 blocks into the truck. The number of blocks they had to put into the truck for it to be full is 6000 - 2000 = 4000. When 6 more people joined Stella and Twinkle, a total of 2 + 6 = 8 people were filling the truck now. Working at the rate of 250 blocks per person, the eight people filled the truck with 250 * 8 = 2000 blocks in one hour. If there were 4000 blocks that still needed to be put into the truck, the 8 people took 4000 / 2000 = 2 hours to fill the truck with the blocks. The total time it took to fill up the tank is 4 + 2 = 6 hours. The answer is 6.
Q: Yuan is 7 years older than his brother David and twice his age. How old is David?
A: Let x be David's age. Yuan is seven years older than David, 7 + x = Y years. Yuan is also twice David's age, 2 * x = Y years. Since these two equations equal the same thing, we can write: 7 + x = 2 * x. Subtracting x from both sides we get 7 = x, so David is 7 years old. The answer is 7.
Question: A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years?
Answer:
Let S be the number of people on the first hundred years’ ship. The second hundred years’ ship had twice as many as the first, so it had 2S people. The third hundred years’ ship had twice as many as the second, so it had 2 * 2S = 4S people. All the ships had S + 2S + 4S = 7S = 847 people. Thus, the ship that the monster ate in the first hundred years had S = 847 / 7 = 121 people on it. The answer is 121.