[Question]Andrew has 2 3-hour appointments today. He spends the rest of his 8-hour workday stamping permit applications. If he can stamp 50 permit applications an hour, how many permits total does he stamp today?
[Answer]First find the total length of the appointments: 2 appointments * 3 hours / appointment = 6 hours. Then subtract that time from the length of Andrew's workday to find how many hours he spends stamping permits: 8 hours - 6 hours = 2 hours. Then multiply that number by the number of permits he can stamp per day to find how many permits he stamps: 50 permits / hour * 2 hours = 100 permits. The answer is 100.
Q: There are 500 students in a local high school. 40 percent are juniors. 70 percent of juniors are involved in sports. How many juniors are involved in sports?
A: Juniors:500(.40) = 200. Juniors in sports:200(.70) = 140 students. The answer is 140.
Question: Ahmed and Emily are having a contest to see who can get the best grade in the class. There have been 9 assignments and Ahmed has a 91 in the class. Emily has a 92. The final assignment is worth the same amount as all the other assignments. Emily got a 90 on the final assignment. What is the minimum grade Ahmed needs to get to beat Emily if all grades are whole numbers?
Answer: Ahmed has scored 819 total points in the class thus far because 9 x 91 = 819. Emily had scored 828 total points before the final assignments because 9 x 92 = 828. She scored 918 total points after the final assignment because 828 + 90 = 918. Ahmed needs to score a 99 to tie Emily for the semester because 918 - 819 = 99. Ahmed needs to score a 100 to beat Emily for the semester because 99 + 1 = 100. The answer is 100.
[Question]The maximum safe amount of caffeine you can consume per day is 500 mg. If each energy drink has 120 mg of caffeine and Brandy drinks 4 of them, how much more caffeine can she safely consume that day?
[Answer]First find the total amount of caffeine Brandy already drank: 120 mg / drink * 4 drinks = 480 mg. Then subtract that amount from the amount it's safe to consume daily to find the remaining amount Brandy can consume: 500 mg - 480 mg = 20 mg. The answer is 20.
Q: Hank gave his wife, Delphine, a box of 24 chocolates for Valentine's Day. On the first day, Delphine ate 4 chocolates. On the second day, she ate 3 less than twice as many chocolates as she ate the first day. On the third day, she ate two less than the number she ate on the first day. And on the fourth day, she ate one less than she ate the previous day. On the fifth day, how many chocolates remained uneaten?
A: Twice as many chocolates as she ate the first day is 2 * 4 = 8 chocolates. And three less than twice as many chocolates as she ate the first day is 8 - 3 = 5 chocolates. Two less than the number she ate on the first day is 4 - 2 = 2 chocolates. One less than she ate the third day is 2 - 1 = 1 chocolate. By the end of the fourth day, 4 + 5 + 2 + 1 = 12 chocolates had been eaten. Thus, on the fifth day, 24 - 12 = 12 chocolates remained uneaten. The answer is 12.
Question: On a farm, there are 2 cows, 3 pigs, and 6 goats. The farmer planned on adding 3 cows, 5 pigs, and 2 goats. How many animals will there be on the farm?
Answer:
Currently, the farm has 2 + 3 + 6 = 11 animals. The farmer will add 3 + 5 + 2 = 10 animals. So, the farm will have 11 + 10 = 21 animals. The answer is 21.