Q: A machine fills 150 cans of paint every 8 minutes. How many minutes does it take this machine to fill 675 cans?
A: To know how many groups of 150 cans there are in 675 cans, we calculate 675 ÷ 150 = 4.5. For each of these groups, 8 minutes are needed, so it takes 8 × 4.5 = 36 minutes. The answer is 36.
Question: A dog is being treated for fleas. One flea treatment gets rid of half the fleas. After four treatments, the dog has 14 fleas left. How many more fleas did the dog have before the flea treatments than after?
Answer: After three treatments, the dog had 14 * 2 = 28 fleas. After two treatments, the dog had 28 * 2 = 56 fleas. After one treatment, the dog had 56 * 2 = 112 fleas. Before any treatments, the dog had 112 * 2 = 224 fleas. Thus, the dog had 224 - 14 = 210 more fleas before the treatments than after. The answer is 210.
[Question]Sean needs to replace 2 light bulbs in his bedroom, 1 in both the bathroom and the kitchen and 4 in the basement. He also needs to replace 1/2 of that amount in the garage. The bulbs come 2 per pack. How many packs will he need?
[Answer]He needs to replace lights in the bedroom, bathroom, kitchen and basement so 2 + 1 + 1 + 4 = 8 lightbulbs. In the garage, he needs to replace half that amount so he needs 8 / 2 = 4 lightbulbs. All total, he needs 8 + 4 = 12 light bulbs. They come 2 per pack and he needs 12 lightbulbs so he needs 12 / 2 = 6 packs of lightbulbs. The answer is 6.
Q: Jamestown has 20 theme parks. If Venice has 25 more theme parks than Jamestown, and Marina Del Ray has 50 more theme parks than Jamestown, calculate the number of theme parks present in the three towns.
A: Since Venice has 25 more theme parks than Jamestown, there are 20 + 25 = 45 theme parks in Venice. Together, Venice and Jamestown have 45 + 20 = 65 theme parks. With 50 more theme parks than Jamestown, Marina Del Ray has 50 + 20 = 70 theme parks. The total number of theme parks in the three towns is 70 + 65 = 135. The answer is 135.
Question: John buys 30 ducks for $10 each. They weigh 4 pounds and he sells them for $5 per pound. How much profit did he make?
Answer: He bought the ducks for 30 * 10 = $300. He sold each duck for 4 * 5 = $20. So he sold all the ducks for 30 * 20 = $600. So he made a profit of 600 - 300 = $300. The answer is 300.
Q: A plumber is trying to decide which of three different jobs he should take to make the most money. The first job involves fixing three toilets and three sinks at an apartment complex. The second involves two toilets and five sinks at a different apartment complex. The third involves fixing one toilet, two showers and three sinks at a third apartment complex. If the plumber charges $30 to fix a sink, $40 to fix a shower and $50 to fix a toilet, what is the most money the plumber can earn if he can only choose one of these three jobs?
A:
If the plumber chooses the first job, he would earn 3 * 50 + 3 * 30 = $240. If he chooses the second, he'd earn 2 * 50 + 5 * 30 = $250. If he chooses the third, he'd earn 50 + 2 * 40 + 3 * 30 = $220. Therefore, the most money he can earn from one of these jobs is $250. The answer is 250.