[Question]A local school is holding a food drive. Mark brings in 4 times as many cans as Jaydon. Jaydon brings in 5 more than twice the amount of cans that Rachel brought in. If there are 135 cans total, how many cans did Mark bring in?
[Answer]Let x represent the number of cans Rachel brought in. Jaydon:5 + 2x. Mark:4(5 + 2x) = 20 + 8x. Total:x + 5 + 2x + 20 + 8x = 135. 11x + 25 = 135. 11x = 110. x = 10. Mark: 20 + 8(10) = 100 cans. The answer is 100.
Q: Mr. Jesiah is a dairy cow farmer with cows producing 200 gallons of milk every day. The expenses for maintenance of the dairy farm and purchase of feeds is $3000 per month. Calculate his total income in June if he sells 1 gallon of milk at $3.55.
A: In a day, Mr. Jesiah's total income from the sale of the milk is $3.55 / gallon * 200 gallons / day = $710 / day. In June, his total income is $710 / day * 30 days = $21300. The net income from the sale is $21300 - $3000 = $18300. The answer is 18300.
Question: Ronnie is a train engineer. His train pulls 3 red boxcars, 4 blue boxcars, and 7 black boxcars. If the black boxcars can each hold 4000 pounds of coal, which is half as much as what the blue boxcars can hold, and the red boxcars can hold 3 times as much as the blue boxcars, how many pounds of coal can all of the train's boxcars combined hold?
Answer: If we let X represent the number of pounds of coal that the blue boxcar can hold, then 4000 = (1 / 2)X. Solving for X, we get X = 8000 pounds of coal, which represents what the blue car can hold. Thus, the red boxcar can hold 3 * 8000 = 24,000 pounds of coal. 3 red boxcars can carry 3 * 24,000 = 72,000 pounds of coal. 7 black boxcars can carry 7 * 4,000 = 28,000 pounds of coal. 4 blue boxcars carry 4 * 8,000 = 32,000 pounds of coal. Together, all the trains boxcars can carry 72,000 + 28,000 + 32,000 = 132,000 pounds of coal. The answer is 132000.
[Question]In a 60-item exam, Liza got 90% of the items correctly. Her best friend, Rose, got 2 more correct answers than her. How many incorrect answers did Rose have?
[Answer]Liza got 60 x 90 / 100 = 54 of the items correctly. So, Rose got 54 + 2 = 56 of the items correctly. Thus, Rose had 60 - 56 = 4 incorrect answers. The answer is 4.
Q: Krishna and Callum are playing a game where they earn 10 points if they win any round. If they played eight matches and Krishna won 3/4 of the matches, what is the total number of points that Callum earned?
A: Krishna won 3 / 4 * 8 rounds = 6 rounds. If they played eight rounds, Callum won 8 rounds - 6 rounds = 2 rounds. If a round earns one 10 points, Callum got 2 rounds * 10 points / round = 20 points. The answer is 20.
Question: Jack wants to send thank you cards to everyone who got him a gift for his wedding. He sent out 200 invitations. 90% of people RSVPed but only 80% of people who RSVPed actually showed up. Then 10 people who showed up didn't get a gift. How many thank you cards does he need?
Answer:
He got 200 * .9 = 180 RSVP. Of those only 180 * .8 = 144 people showed up. So only 144 - 10 = 134 got him gifts and hence need thank you cards. The answer is 134.