[Question]Bill is making omelets for his family's breakfast. It takes him 3 minutes to chop a pepper, 4 minutes to chop an onion, and 1 minute to grate enough cheese for one omelet. It takes him 5 minutes to assemble and cook the omelet. If he needs to chop up four peppers, two onions, and also grates cheese for cooking each of five omelets, how long will he spend preparing for and cooking the five omelets?
[Answer]First find the total time Bill spends chopping peppers: 4 peppers * 3 minutes / pepper = 12 minutes. Then find the total time Bill spends chopping onions: 2 onions * 4 minutes / onion = 8 minutes. Then find the combined time to grate cheese for and cook each omelet: 5 + 1 minute / omelet = 6 minutes. Then multiply the time per omelet by the number of omelets: 5 omelets * 6 minutes / omelet = 30 minutes. Then add the cook time to the chopping time to find the total time Bill spends: 30 minutes + 12 minutes + 8 minutes = 50 minutes. The answer is 50.
Q: Randy just turned 12 and started playing the piano. His friend Sheila told him about the 10,000-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday Friday, and takes two weeks off for vacation each year?
A: Randy has 20 12 = 8 years until he is 20. He must practice 10,000 hours / 8 years = 1,250 hours a year to become an expert. There are 52 weeks in a year 2 weeks of vacation Randy plans to take = 50 weeks of practice for Randy. Randy will practice Monday Friday, which is 5 days a week, so 50 weeks x 5 days = 250 days of practice each year. Randy will need to practice 1250 hours / 250 days = 5 hours each day. The answer is 5.
Question: Rodney, Roger and Ron can lift a combined weight of 239 pounds. Rodney can lift twice as much as Roger, and Roger can lift 7 pounds less than 4 times the amount that Ron can lift. How much can Rodney lift?
Answer: Let x represent the amount that Ron can lift. Roger: 4x - 7. Rodney:2(4x - 7) = 8x - 14. Total:x + 4x - 7 + 8x - 14 = 239. 13x - 21 = 239. 13x = 260. x = 20. Rodney:8(20) - 14 = 146 pounds. The answer is 146.
[Question]At the supermarket, the price paid for oranges is proportional to the mass purchased. Annie paid $6 for 2 kg of oranges. How much will Annie pay for 12 kg of oranges?
[Answer]The price of 1 kg of oranges is $6 / 2 kg = $3 / kg. So Ali will pay 12 kg * $3 / kg = $36 for 12 kg of oranges. The answer is 36.
Q: Tom and his friends were filling up water balloons. Tom filled up 3 times as many water balloons as Luke. Luke filled up one fourth as many balloons as Anthony. If Anthony filled up 44 water balloons, how many did Tom fill up?
A: Luke filled up 44 / 4 = 11 water balloons. Tom filled up 11 * 3 = 33 water balloons. The answer is 33.
Question: Kimberley, Ela, and Houston all are sent to collect firewood by their grammy. Kimberley collects ten pounds of firewood, and Houston collects 12 pounds of firewood. If the three of them managed to collect a total of 35 pounds of firewood, how many pounds were collected by Ela?
Answer:
Kimberley and Houston collected 10 + 12 = 22 pounds of firewood. You can find how much Ela collected by subtracting that amount from the total amount collected: 35 - 22 = 13 pounds. The answer is 13.