[Question]Ryan's party was 4 times as huge as Taylor's birthday party. If both parties combined had 240 people, how many people were there at Ryan's party?
[Answer]To get the number of people at Taylor's party, we'll assume there were n people at his party. The total number of people at Ryan's party is 4 * n, four times the number of attendees at Taylor's party. Combined, there were 4n + n = 240 people at both parties. This translates to 5n = 240. The total number of people at Taylor's party is n = 240 / 5. There were n = 48 people at Taylor's party. Since Ryan's party was 4 times as huge as Taylor's party, at Ryan's party, there were 48 * 4 = 192 people. The answer is 192.
Q: Every day, Sara bakes 10 cakes and puts them in his refrigerator. He does this for 5 days. Carol then comes over and eats 12 of his cakes. If it takes 2 cans of frosting to frost a single cake, how many cans of frosting does Bob need to frost the remaining cakes?
A: After 5 days, Sara has baked 5 days * 10 cakes / day = 50 cakes. After Carol's feast, there are 50 cakes - 12 cakes = 38 cakes remaining. Sara needs 2 cans / cake * 38 cakes = 76 cans of frosting. The answer is 76.
Question: Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles. Tracy drives 20 miles more than twice Michelle, and Michelle drives 3 times the amount that Katie drives. How many miles does Michelle drive?
Answer: Let x represent the number of miles Kati drives. Michelle:3x. Tracy:20 + 2(3x) = 20 + 6x. Total:x + 3x + 20 + 6x = 1000. 10x + 20 = 1000. 10x = 980. x = 98 miles. 3(98) = 294 miles. The answer is 294.
[Question]John's pool is 5 feet deeper than 2 times Sarah's pool. If John's pool is 15 feet deep, how deep is Sarah's pool?
[Answer]Let x be the number of feet in John's pool. 2 * x + 5 = 15. 2x = 10. x = 5. The answer is 5.
Q: A father is buying sand to fill his son's new sandbox, but he is worried that the sand will be too heavy for his car. The sandbox is square, with each side being 40 inches long. If a 30-pound bag of sand is enough to fill 80 square inches of the sandbox to an adequate depth, how many pounds of sand are needed to fill the box completely?
A: The sandbox has an area of 40 * 40 = 1600 square inches. To fill this area, 1600 / 80 = 20 bags of sand are needed. Then, the weight of these bags is 20 * 30 = 600 pounds. The answer is 600.
Question: Mia is buying Christmas gifts for her family. She has spent $30 on each of her 3 siblings, and the rest of her spending was for her parents. If Mia spent a total of $150 on Christmas gifts and each of her parents received gifts of equal value, how much money, in dollars, did she spend on each parent's gift?
Answer:
Mia spent a total of $30 per siblings * 3 siblings = $90 on her siblings. She therefore spent $150 total spending - $90 spending on her siblings = $60 on her parents. As each parent received an equal amount, each parent's gift cost $60 total spending on parents / 2 = $30. The answer is 30.