[Question]Jack went to a supermarket with $100 and bought 4 bottles of water. Then his mother called him and asked him to buy twice as many bottles as he already bought. Each bottle cost $2. Finally, he also bought half a pound of cheese and 1 pound of cheese costs $10. How much money does Jack have remaining?
[Answer]Jack's mother asked him to buy 2 * 4 = 8 bottles of water. Thus Jack bought 4 + 8 = 12 bottles of water in total. Altogether, the bottles of water cost 12 * $2 = $24. The cheese cost 1 / 2 * $10 = $5. So Jack spent $24 + $5 = $29 on water and cheese. Since he started with $100, he now has $100 - $29 = $71 left. The answer is 71.
Q: Robi Ney wants to fill a 120-liter tub. He is amused by letting the water run for 1 minute, then closing the water supply for 1 minute, and so on alternating opening and closing the water supply. But the cap at the bottom of the tub is not very airtight and lets 1 liter of water escape per minute. The flow rate of the tap is 12 liters per minute. How long does it take to fill the tub in minutes?
A: In 2 minutes, 12 liters of water flow into the bathtub and 2 liters (2 minutes x 1 liter / minute ) escape. This will leave 12 – 2 = 10 liters of water every two minutes. We can divide the number of liters by the number of minutes to find the average flow per minute, which is 10 / 2 = 5 liters per minute. To fill the tub, it will take 120 liters / 5 liters / min = 24 min. The answer is 24.
Question: The ratio of boys to girls in a family is 5:7. The total number of children in the family is 180. If the boys are given $3900 to share, how much money does each boy receive?
Answer: The total ratio representing the number of children in the family is 5 + 7 = 12. From the total ratio of children in the family, 5 / 12 represent the number of boys, meaning that the number of boys in the family is 5 / 12 * 180 = 75. If the boys are given $3900 to share, each boy receives $3900 / 75 = $52. The answer is 52.
[Question]In 2021, Wayne is 37 years old. His brother Peter is 3 years older than him and their sister Julia is 2 years older than Peter. What year was Julia born in?
[Answer]Peter is 3 years older than Wayne who is 37 so Peter is 37 + 3 = 40 years old. Julia is 2 years older than Peter who is 40 so Julia is 2 + 40 = 42 years old. It's 2021 and Julia is 42 years old so she was born in 2021 - 42 = 1979. The answer is 1979.
Q: Ken had fifty pencils, and he wanted to share some of them with his two friends, Manny and Nilo. Ken gave ten pencils to Manny and ten more pencils to Nilo than he gave to Manny. He kept the rest of the pencils. How many pencils did Ken keep?
A: Nilo received 10 + 10 = 20. Thus, Ken gave a total of 10 + 20 = 30. Therefore, Ken kept 50 - 30 = 20 pencils. The answer is 20.
Question: Arnel had ten boxes of pencils with the same number of pencils in each box. He kept ten pencils and shared the remaining pencils equally with his five friends. If his friends got eight pencils each, how many pencils are in each box?
Answer:
Arnel shared 5 x 8 = 40 pencils with his friends. So, he had 10 + 40 = 50 pencils in all. Therefore, each box had 50 / 10 = 5 pencils inside. The answer is 5.