Q: Erica is getting dessert at a pie buffet where all the pies are the same size. She takes 1/5 of an apple pie and 3/4 of a cherry pie. What fraction of a whole pie did Erica take, expressed as a percentage?
A: First, find a common denominator for the fractions by multiplying 5 and 4: 5 * 4 = 20. Then convert 1 / 5 to twentieths by multiplying the top and bottom by 4: 1 / 5 * 4 / 4 = 4 / 20. Then convert 3 / 4 to twentieths by multiplying the top and bottom by 5: 3 / 4 * 5 / 5 = 15 / 20. Now that the two fractions have the same denominator, you can add them: 4 / 20 + 15 / 20 = 19 / 20. Now divide 19 by 20 and multiply the answer by 100 to convert the fraction to a percentage: 19 / 20 * 100 = %95. The answer is 95.
Question: Spot sells cookies in bags and boxes. Each bag has 7 cookies. Each box has 12 cookies. How many more cookies are in 8 boxes than there are in 9 bags?
Answer: The total number of cookies in 8 boxes is 8 boxes * 12 cookies / box = 96 cookies. The total number of cookies in 9 bags is 9 bags * 7 cookies / bags = 63 cookies. There are 96 - 63 = 33 more cookies in the boxes than in the bags. The answer is 33.
[Question]Cyrus has been contracted to write a 500 page book. On his first day, he writes 25 pages and twice that amount on the second day. On the third day he is able to write twice the amount that he did on the second day. On the fourth day, he gets writer's block and is only able to write 10 pages. How many more pages does he need to write?
[Answer]On the second day he wrote twice the amount as the first day, which was 25 pages so 2 * 25 = 50 pages. On the third day he wrote twice the amount as he did on the second day, which was 50 pages so 2 * 50 = 100 pages. The first day he wrote 25, then 50, then 100 and 10 on the fourth day for a total of 25 + 50 + 100 + 10 = 185. He needs to write 500 pages and has written 185 which means he has 500 - 185 = 315 more pages to write. The answer is 315.
Q: Janet buys a multi-flavor pack of cheese sticks. 15 of the sticks are cheddar, 30 are mozzarella, and 45 are pepperjack. If Janet picks a cheese stick at random, what is the percentage chance it will be pepperjack?
A: First find the total number of cheesesticks: 15 cheddar + 30 mozzarella + 45 pepperjack = 90 cheese sticks. Then divide the number of pepperjack sticks by the total number of cheese sticks and multiply by 100% to express the answer as a percentage: 45 pepperjack sticks / 90 cheese sticks * 100% = 50%. The answer is 50.
Question: In a certain forest, there are 4 species of trees: oak, pine, spruce, and birch. There is a total of 4000 trees in the forest. Spruces make up 10% of all the trees, and pines 13%. There are as many oaks as spruces and pines put together. How many birches are there in the forest?
Answer: There are 10 / 100 * 4000 = 400 spruces in the forest. There are 13 / 100 * 4000 = 520 pines in the forest. There are as many oaks as pines and spruces together, so there are 400 + 520 = 920 oaks. Therefore there are 4000 - 920 - 520 - 400 = 2160 birches. The answer is 2160.
Q: Mrs. Anderson bought 2 bags of 3-pound bag of cat food and another 2 bags of dog food that each weigh 2 more pounds than each bag of cat food. There are 16 ounces in each pound. How many ounces of pet food did Mrs. Anderson buy?
A:
The two bags of cat food weigh 2 x 3 = 6 pounds. Each bag of dog food weighs 3 + 2 = 5 pounds. So two bags of dog food weigh 2 x 5 = 10 pounds. Thus, Mrs. Anderson bought 6 + 10 = 16 pounds of pet food. And 16 pounds is equal to 16 x 16 = 256 ounces. The answer is 256.