Q: Jenny and Mark are throwing bottle caps. Jenny's bottlecap flies 18 feet straight, then bounces off a street light and flies another 1/3 of the distance it already went. Mark's bottle cap flies 15 feet forward, then bounces off a window and flies twice as far as it already did. How much further did Mark's bottle cap go than Jenny's?
A: First find 1 / 3 of the distance Jenny's bottlecap went straight: 18 feet / 3 = 6 feet. Then add that to the distance it flew straight to find the total distance it traveled: 6 feet + 18 feet = 24 feet. Then find twice the distance Mark's bottlecap went straight: 15 feet * 2 = 30 feet. Then add that distance to the distance it flew straight to find the total distance it traveled: 30 feet + 15 feet = 45 feet. Then subtract the distance Jenny's bottlecap traveled from the distance Mark's traveled to find the difference: 45 feet - 24 feet = 21 feet. The answer is 21.
Question: There are twice as many cows as dogs at a petting farm. If there are currently 184 cows at the farm, and the farm owner decides to sell 1/4 of the cows and 3/4 of the dogs, how many animals are remaining on the farm?
Answer: If there are 184 cows, twice the number of dogs, then there are 184 / 2 = 92 dogs on the farm. When the farm owner decided to sell 1 / 4 of cows, he sold 1 / 4 * 184 = 46 cows. The total number of cows remaining on the farm is 184 - 46 = 138. If the farm owner also sold 3 / 4 of the dogs, he sold 3 / 4 * 92 = 69. The total number of dogs remaining on the farm is 92 - 69 = 23. The total number of animals remaining on the farm is 23 + 138 = 161. The answer is 161.
[Question]A father is building a playset for his son and needs to purchase lumber, nails, and fabric. When he started planning the project, the necessary lumber cost $450, the nails cost $30, and the fabric cost $80. However, recent economic inflation has caused the price of lumber to increase by 20%, the price of nails to increase by 10%, and the price of fabric to increase by 5%. In dollars, how much more money will it cost to complete the project now (after inflation) than it would have when the father began planning?
[Answer]First, the initial, pre - inflation, cost of the project was 450 + 30 + 80 = $560. Then, the price of the lumber increased to 450 * 1.20 = $540. Similarly, the price of the nails increased to 30 * 1.10 = $33. And the price of the fabric increased to 80 * 1.05 = $84. Therefore, the new, post - inflation, cost of the project is 540 + 33 + 84 = $657. Thus, the cost has increased by 657 - 560 = $97. The answer is 97.
Q: A large gathering occurred at the town hall with 200 people participating. 100 people decided to have a snack, and then 20 new outsiders joined in to have a snack. Half of these snack eaters got full and left. 10 new outsiders came to have snacks, too. 30 more snack eaters got their fill and left. Then half of the remaining snack eaters left later on. How many snack eaters are left?
A: At the meeting, 200 - 100 = 100 people decided to have a snack. 20 new people came in to snack and the area had 100 + 20 = 120 of them eating. 120 / 2 = 60 people got full and left. 10 more new people came to join in the snacking so 60 + 10 = 70 people were eating. After 30 people left, 70 - 30 = 40 people who were eating remained. In the end, only 40 / 2 = 20 kept eating. The answer is 20.
Question: Marcy can make 3 spears out of a sapling and 9 spears out of a log. How many spears can she make out of 6 saplings and a log?
Answer: First find the total number of spears she makes from saplings: 3 spears / sapling * 6 saplings = 18 spears. Then add the number she makes from the log: 18 spears + 9 spears = 27 spears. The answer is 27.
Q: James gets bored with his game so decides to play a different one. That game promises 100 hours of gameplay but 80% of that is boring grinding. However, the expansion does add another 30 hours of enjoyable gameplay. How much enjoyable gameplay does James get?
A:
The first game was 100 * .8 = 80 hours of grinding. So it was 100 - 80 = 20 hours of good gameplay. The expansion brought the time of good gameplay to 20 + 30 = 50 hours. The answer is 50.