Q: Eunice has 10 eggplant seeds and 4 pots. How many seeds will be planted in the fourth pot if 3 seeds can be planted in 1 pot?
A: Eunice can plant a total of 3 pots x 3 seeds = 9 seeds in three pots. So, only 10 - 9 = 1 eggplant seed will be planted in the fourth pot. The answer is 1.
Question: Michael was watching a TV show, which was aired for 1.5 hours. During this time, there were 3 commercials, which lasted 10 minutes each. How long (in hours) was the TV show itself, not counting commercials?
Answer: Each commercial lasted 10 minutes, so three commercials lasted 3 * 10 = 30 minutes. The show was aired for 1.5 hours, and 30 minutes is 0.5 of an hour, so without the commercials, the show was 1.5 - 0.5 = 1 hour long. The answer is 1.
[Question]Alice's white water rafting class is composed of 40 students and 10 instructors, including herself. She has 20 life vests on hand. 20% of her students are bringing life vests. How many more life vests will Alice need to get so that entire class has one?
[Answer]20% of her 40 students will bring their own life vest so .20 * 40 = 8 students will bring their life vests. Alice has 20 life vests and 8 students will bring there's so that's 20 + 8 = 28 life vests. There are 40 students and 10 instructors total so that's 40 + 10 = 50 people in the class. If there are 28 life vests and she has 50 people then she needs to find 50 - 28 = 22 more life vests. The answer is 22.
Q: A school has 100 students. Half of the students are girls, the other half are boys. 20% of the girls have dogs at home and 10% of the boys have dogs at home. How many students own dogs?
A: Out of 100 students, half are girls and half are boys so there are 100 / 2 = 50 girls. There are 50 girls out of 100 students means there are 100 - 50 = 50 boys. 20% of the 50 girls have dogs so they have .20 * 50 = 10 dogs. 10% of the 50 boys have dogs so they have .10 * 50 = 5 dogs. The girls have 10 dogs and the boys have 5 dogs so together, they have 10 + 5 = 15 dogs. The answer is 15.
Question: A rancher owns a mixture of 8 sheep and 5 cattle that graze on his land. In a typical year, the rancher will allow his animals to feed off his pastures for as long as possible before they run out of grass. After the pastures run out of grass, he must buy feed corn for $10 per bag. Each cow eats 2 acres of grass per month, and each sheep eats 1 acre of grass per month. Additionally, a bag of feed corn can feed each cow for 1 month and each sheep for 2 months. If the rancher's pasture contains 144 acres of grass, how much will the rancher need to spend on feed corn to feed his animals each year?
Answer: First, the 144 acres of grass will be eaten according to the equation 5 * 2 * T + 8 * 1 * T = 144. Solving this equation for T, we find 18 * T = 144, or T = 8 months of food are covered by the animals grazing on the rancher's pasture. This means the farmer must buy feed corn for the remaining 12 - 8 = 4 months. Next, the rancher's 8 sheep will require 4 / 2 = 2 bags of feed corn each, or 8 * 2 = 16 bags of feed corn in total for the 4 month period. The rancher's 5 cows will require 4 / 1 = 4 bags of feed corn each, or 5 * 4 = 20 bags of feed corn in total for the month. Therefore, the rancher needs 16 + 20 = 36 bags of feed corn for all of his animals. So, the rancher will need to spend 36 * 10 = $360 per year on feed corn. The answer is 360.
Q: Bo is learning words for the GRE. He got 800 flashcards. He knew 20% of the words on them. He has 40 days to learn the rest. How many words does he need to learn a day?
A:
He knows 800 * .2 = 160 words. So he needs to learn 800 - 160 = 640 words. That means he needs to learn 640 / 40 = 16 words per day. The answer is 16.