[Question]Jar A has 28 marbles. Jar B has 12 more marbles than jar A. Jar C has twice as many marbles as jar B. How many marbles are there altogether?
[Answer]Jar B has 28 + 12 = 40 marbles. Jar C has 2 x 40 = 80 marbles. Therefore, there are 28 + 40 + 80 = 148 marbles altogether. The answer is 148.
Q: Tom wants to make the world's largest dough ball. He needs 500 pounds of flour and he can buy 50-pound bags of flour for $20. He also needs 10 pounds of salt and salt cost $.2 a pound. He also spends $1000 promoting everything. He then sells tickets for $20 each and sells 500 tickets. How much money did he make?
A: He needs 500 / 50 = 10 bags of flour. That cost 20 * 10 = $200. He needs 10 * .2 = $2 worth of salt. So everything cost 1000 + 200 + 2 = $1202. He makes 20 * 500 = $10,000 selling tickets. So he makes a profit of 10000 - 1202 = $8798. The answer is 8798.
Question: Connie is trying to remember when her grandmother was born. She knows her grandmother's older brother was born in 1932, her older sister was born in 1936, and the gap between her grandmother and her sister is twice the gap between the older brother and the older sister. What year was Connie's grandma born?
Answer: First find the age gap between the older brother and sister by subtracting the earlier birth year from the later: 1936 - 1932 = 4 years. Then double the age gap to find how many years passed between the sister's birth and the grandmother's: 4 years * 2 = 8 years. Then add 8 years to the older sister's birth year to find the grandmother's birth year: 1936 + 8 = 1944. The answer is 1944.
[Question]Hector purchased a container of gumballs. He gave 4 to Todd, then he gave twice as many as he had given Todd to Alisha, and then he gave 5 less than four times as many to Bobby as he had given to Alisha. If Hector had 6 gumballs remaining, what is the total number of gumballs that Hector purchased?
[Answer]Hector gave to Alisha twice as many as he had given Todd, for a total of 4 * 2 = 8 gumballs,. Hector gave 5 less than four times as many to Bobby as he had given to Alisha, or a total of (8 * 4) - 5 = 27 gumballs. If Hector had 6 gumballs remaining, he originally purchased 4 + 8 + 27 + 6 = 45 gumballs. The answer is 45.
Q: Kamil wants to renovate his kitchen at home. For this purpose, he hired two professionals who work for him 6 hours a day for 7 days. What does it cost Kamil to hire these professionals if one of them is paid $15 per hour of work?
A: Two professionals work together 6 * 2 = 12 hours per day. They work for 7 days, so in total it means 7 * 12 = 84 hours. The cost of hiring these persons is 84 * 15 = $1260. The answer is 1260.
Question: A cheetah can run at a top speed of 60 mph. The gazelle can run for speeds of up to 40 miles per hour. If one mile per hour is about 1.5 feet per second, then how many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazelle also running at top speed if the two animals were initially 210 feet apart and they both traveled in the same direction?
Answer:
60 mph is 60 * 1.5 = 90 feet per second. 40 mph is 40 * 1.5 = 60 feet per second. Thus, for every second, the cheetah advances on the gazelle by 90 - 60 = 30 feet per second. To close on a distance of 200 feet, it would take the cheetah 210 / 30 = 7 seconds to catch the gazelle. The answer is 7.