[Question]Five food companies sponsored a local food bank. Foster Farms donated 45 dressed chickens; American Summits donated twice the number of bottled water than the number of dressed chicken donated by Foster Farms; Hormel donated three times the number of dressed chickens that Foster Farms donated; Boudin Butchers donated one-third of the number of dressed chickens that Hormel donated; Del Monte Foods donated 30 fewer bottles of water than American Summits. How many food items did the companies donate in total?
[Answer]American Summits donated 45 x 2 = 90 bottled waters. Hormel donated 45 x 3 = 135 spams. Boudin Bakery donated 135 x 1 / 3 = 45 sourdoughs. Del Monte Foods donated 90 - 30 = 60 canned fruits. Therefore, a total of 45 + 90 + 135 + 45 + 60 = 375 different food. The answer is 375.
Q: Kyle goes to basketball practice every day for 2 hours. At practice he spends half of the time shooting and the rest of the time running and weight lifting. If he runs for twice the time he spends weightlifting, how much time in minutes does he spend lifting weight?
A: Half of the 2 - hour practice is for running and weightlifting, so the time for running and weight lifting is 1 / 2 * 2 hours = 1 hour. If the time he lifts weights is x, then the time he runs is 2x. So the time for running and weight lifting is x + 2x = 3x = 1 hour. Thus 3x = 60 minutes. Thus x = 60 / 3 = 20 minutes spent weight lifting. The answer is 20.
Question: Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December?
Answer: Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $32. In June, Derek has $32 * 2 = $64. In July, Derek has $64 * 2 = $128. In August, Derek has $128 * 2 = $256. In September, Derek has $256 * 2 = $512. In October, Derek has $512 * 2 = $1024. In November, Derek has $1024 * 2 = $2048. By December, Derek has $2048 * 2 = $4096 to save. The answer is 4096.
[Question]Kat gets a 95% on her first math test and an 80% on her second math test. If she wants an average grade of at least 90% in her math class, what does she need to get on her third final math test?
[Answer]Let x = the percent needed on her third math test. (95 + 80 + x) / 3 = 90. (95 + 80 + x) = 270. x = 270 - 95 - 80. x = 95. The answer is 95.
Q: Sam has 18 cows. 5 more than half the cows are black. How many cows are not black?
A: Half of the cows: 18 / 2 = 9. Black cows: 5 + 9 = 14. 18 - 14 = 4 cows. The answer is 4.
Question: Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during both years?
Answer:
In his senior year, Michael scored 260 1.20 = 312 points. In both his senior and junior years Michael scored 260 + 312 = 572 points. The answer is 572.