Q: Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats 1/3rd the weight of food per hour as water per hour. How much weight is she carrying after six hours?
A: First find the weight of food Karen eats every hour: 2 pounds * 1 / 3 = 2 / 3 pounds food. Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water / hour + 2 / 3 pound food / hour = 8 / 3 pounds / hour. Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8 / 3 pounds / hour * 6 hours = 16 pounds. Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = 50 pounds. Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = 34 pounds. The answer is 34.
Question: Seth bought some boxes of oranges. He gave a box to his mother. He then gave away half of the remaining boxes. If Seth has 4 boxes of oranges left, how many boxes did he buy in the first place?
Answer: After giving a box to his mom, Seth had 4 * 2 = 8 boxes left. Seth bought 8 + 1 = 9 boxes of oranges. The answer is 9.
[Question]Kylie picks apples for 3 hours. The first hour she picks 66 apples. The second hour she doubles her apple picking rate, and the third hour she picks a third of the apples picked in the first hour. How many apples did Kylie pick total?
[Answer]First hour = 66 apples. Second hour = 66(2) = 132 apples. Third hour = 66(1 / 3) = 22 apples. Total number of apples picked 66 + 132 + 22 = 220 apples. The answer is 220.
Q: A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?
A: At the back of stores, the town has paid for 14 trash cans on the streets * 2 = 28 trash cans. The town has therefore added 14 trash cans on the streets + 28 trash cans at the back of stores = 42 trash cans. The answer is 42.
Question: Jeff spends three times as many hours on the weekend catching up with his Facebook pals as he does working. Monday through Friday, however, he spends four times as many hours working as he does catching up. If he spends 3 hours every day catching up, how many hours does he spend working in an entire week?
Answer: On the weekend, Jeff works 3 / 3 = 1 hour each day. On the weekdays, he spends 4 * 3 = 12 hours working each day. Thus, he spends 2 * 1 + 5 * 12 = 62 hours working each week. The answer is 62.
Q: Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if 1 of them falls off the slice when Lard picks it up?
A:
First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 1 * 2 = 2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 2 * 2 = 4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices, as the pepperoni was spread evenly. We find there are 40 / 4 = 10 slices of pepperoni per pizza slice. Since 1 slice of pepperoni fell off Jelly's slice, this means there are 10 - 1 = 9 slices left on her slice. The answer is 9.