Q: Cary is trying to strip the ivy off a tree in her yard. She strips 6 feet of ivy every day, but the ivy grows another 2 feet every night. If the tree is covered by 40 feet of ivy, how many days will it take Cary to strip all the ivy off?
A: First find the net amount of ivy Cary removes each day by subtracting the ivy's growth from the amount she removes: 6 feet / day - 2 feet / day = 4 feet / day. Then divide the total feet of ivy by the net amount Cary removes each day to find how many days it takes her to remove all the ivy: 40 feet / 4 feet / day = 10 days. The answer is 10.
Question: Kenny plans to mow lawns all summer, and then use the profits to buy video-games and books. He charges $15 per lawn. The video-games are $45 each. The books are $5 each. At the end of the summer he has mowed 35 lawns. There are 5 video-games he really wants, and then he will use the rest for books. How many books can he buy?
Answer: Kenny earns $525 because 35 x 15 = 525. He spends $225 on video games because 5 x 45 = 225. He has $300 left because 525 - 225 = 300. He can buy 60 books because 300 / 5 = 60. The answer is 60.
[Question]Pastor Paul prays 20 times per day, except on Sunday, when he prays twice as much. Pastor Bruce prays half as much as Pastor Paul, except on Sundays, when he prays twice as much as Pastor Paul. How many more times does Pastor Paul pray than Pastor Bruce prays in a week?
[Answer]Pastor Paul prays 20 * 6 = 120 days per week, except Sunday. On Sunday, Pastor Paul prays 2 * 20 = 40 times. Per week, Pastor Paul prays 120 + 40 = 160 times. Pastor Bruce prays half as much as Pastor Paul does on all days except Sunday, for a total of 120 / 2 = 60 times. Pastor Bruce prays twice as much on Sundays as does Pastor Paul, or 40 * 2 = 80 times. In total, Pastor Bruce prays 60 + 80 = 140 times per week. Thus, per week, Pastor Paul prays 160 - 140 = 20 more times per week than Pastor Bruce. The answer is 20.
Q: Tate has 32 tickets for a particular game. He then buys two more tickets for the game. His friend Peyton, who has half as many total tickets, drives with him to the game. How many tickets do Tate and Peyton have together?
A: When Tate bought 2 more tickets, the total number of tickets he has increased to 32 + 2 = 34 tickets. Peyton has half as many tickets, meaning he has 1 / 2 * 34 = 17 tickets. Together, they have 34 + 17 = 51 tickets. The answer is 51.
Question: A cook had 300 carrots in a bucket he was using to cook meals for a restaurant. Before lunch, he had used 2/5 of the carrots. By the end of the day, he had chopped and used 3/5 of the remaining carrots. How many carrots were not used that day?
Answer: Before lunch, the cook had used 2 / 5 * 300 = 120 carrots. The number of remaining carrots after the cook used 2 / 5 of them is 300 - 120 = 180. The cook had used 3 / 5 * 180 = 108 of the remaining carrots by the end of the day. The number of carrots that the cook did not use that day is 180 - 108 = 72. The answer is 72.
Q: In preparation for his mountain climbing, Arvin wants to run a total of 20 kilometers in a week. On the first day, he ran 2 kilometers. On each subsequent day, he increased his running distance by 1 kilometer over the previous day. If he runs for 5 days a week, how many kilometers did he run on the 5th day?
A:
On the second day, Arvin ran 2 + 1 = 3 kilometers. On the third day, he ran 3 + 1 = 4 kilometers. On the fourth day, he ran 4 + 1 = 5 kilometers. So on the fifth day, he ran 5 + 1 = 6 kilometers. The answer is 6.