[Question]Jason is hiring two construction workers, one electrician and one plumber. If the construction workers each make $100/day, the electrician makes double what a worker is paid and the plumber makes 250% of a worker's salary, how much are the overall labor costs for one day?
[Answer]First find how much the electrician earns per day: $100 / day * 2 = $200 / day. Then find how much the plumber earns per day: $100 / day * 250% = $250 / day. Then find how much both workers pay together: $100 / day / worker * 2 workers = $200 / day. Then add the cost of each worker to find the total labor cost per day: $200 / day + $250 / day + $200 / day = $650 / day. The answer is 650.
Q: Keenan needs to write an essay that is 1200 words. Her essay is due at midnight. She writes 400 words per hour for the first two hours. After that, she writes 200 words per hour. How many hours before the deadline does she need to start to finish on time?
A: In the first two hours, Keenan writes 800 words because 400 * 2 = 800. After that, she still needs to write 400 words because 1200 - 800 = 400. Since she writes 200 words per hour, she will take 2 hours to write the last 400 words because 400 / 200 = 2. Thus, she needs to start 4 hours before the deadline because 2 + 2 = 4. The answer is 4.
Question: Henry needs to declutter his book collection of 99 books. From his bookshelf, he was able to fill 3 boxes of 15 books each to take to a donation center. He had 21 books in a room he could donate, 4 on his coffee table and 18 cookbooks stashed in the kitchen. When he dropped them off, he noticed a box of books that had a "free to a good home" note. He grabbed 12 books to take back to his place. How many books does Henry now have?
Answer: He filled 3 boxes with 15 books each so 3 * 15 = 45 books. From the rest of his house he is donating 45 + 21 + 4 + 18 = 88 books for donation. His collection is 99 books and he is donating 88 books, so that leaves him with 99 - 88 = 11 books. He picks up 12 books to add to his collection of 11 books so he now has 12 + 11 = 23 books. The answer is 23.
[Question]Angela is 4 cm taller than Helen. Helen is 3 cm taller than Amy. If Amy is 150 cm tall, how many centimeters tall is Angela?
[Answer]Amy’s height is 150 cm. Being 3 cm taller than Amy, Helen’s height is 150 + 3 = 153 cm. Being 4 cm taller than Helen, Angela’s height is 153 + 4 = 157 cm. The answer is 157.
Q: Thomas is making hummus. One of the ingredients in a hummus recipe is chickpeas. For one serving of hummus, the recipe calls for 1 cup of chickpeas. In a can of chickpeas, there are 16 ounces of chickpeas. In one cup of chickpeas, there are 6 ounces. To make 20 servings, how many cans of chickpeas should Thomas buy?
A: For 20 servings, Thomas needs 20 * 1 = 20 cups of chickpeas. To have 20 cups, Thomas needs 20 * 6 = 120 ounces. 120 ounces / 16 ounces = 7.5 cans of chickpeas. Since Thomas cannot buy half a can, he needs to buy 8 cans. The answer is 8.
Question: Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
Answer:
Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets. The answer is 220.