Question: Phill had some friends over for pizza. He opens the pizza box and discovers it hasn't been sliced. Phill cuts the pizza in half, and then cuts both halves in half, and then cuts each slice in half again. Phill then passes out 1 slice to 3 of his friends and 2 slices to 2 of his friends. How many slices of pizza are left for Phill?
Answer: Phill starts with 1 pizza, cutting it in half. This means he now has 1 * 2 = 2 slices of pizza. He cuts each of these 2 slices in half, meaning he now has 2 * 2 = 4 slices of pizza. He then cuts these in half again, meaning he now has 4 * 2 = 8 slices of pizza. Phill hands out 2 slices to 2 of his friends, meaning he gave out 2 * 2 = 4 slices. He hands out 1 slice to 3 others, so the total amount of slices handed out are 3 + 4 = 7 slices. Since Phill started with 8 slices, this means he has 8 - 7 = 1 slice remaining. The answer is 1.
[Question]After 100 new people move into a town, 400 of the original population move out. Every year afterward, the town's population is halved. After 4 years, the population is 60 people. Before the new people moved in, how many people lived in the town?
[Answer]If the population is halving then at the end of the third year, the population must have been 60 people in the fourth year * 2 = 120 people. In the second year, the population was 120 people in the third year * 2 = 240 people. And in the first year, the population was 240 people in the third year * 2 = 480 people. Additional people moved out in the first year, so accounting for these shows the population was 480 people + 400 people who moved out = 880 people. Then removing the new people shows there were originally 880 people 100 new people = 780 people. The answer is 780.
Q: Duke was at a garage sale when he spotted DVDs on sale. They were separated by price into 2 different boxes. In the first box, he found 10 movies that he wanted. These were $2.00 apiece. The second box was marked $5 each and he found 5 movies he wanted. What was the average price of each of the DVDs he bought?
A: In the first box he bought 10 DVDs at $2.00 each, so he paid 10 * 2 = $20.00. In the second box he bought 5 DVDs at $5.00 each, so he paid 5 * 5 = $25.00. He bought 10 + 5 = 15 DVDs. He spent $20 + $25 = $45.00. The average price of each DVD is $45 / 15 = $3.00 each. The answer is 3.
Question: Carla's order at Mcdonald's costs $7.50, but she has a coupon for $2.50. If she gets an additional 20% discount for being a senior citizen, how much does she pay for her order in dollars total?
Answer: First subtract the coupon amount from the price of the food: $7.50 - $2.50 = $5.00. Then subtract 20% from 100% to find out what percentage of the reduced price Carla pays: 100% - 20% = 80%. Now multiply the price after the coupon by the percentage Carla pays to find the final price: $5.00 * .8 = $4.00. The answer is 4.
[Question]Barbara has 9 stuffed animals. Trish has two times as many stuffed animals as Barbara. They planned to sell their stuffed animals and donate all the money to their class funds. Barbara will sell her stuffed animals for $2 each while Trish will sell them for $1.50 each. How much money will they donate to their class funds?
[Answer]Barbara will be able to sell all her stuffed animals for 9 x $2 = $18. Trish has 9 x 2 = 18 stuffed animals. Trish will be able to sell all her stuffed animals for 18 x $1.50 = $27. Therefore, they will donate a total of $18 + $27 = $45 to their class funds. The answer is 45.
[Question]Kamil wants to renovate his kitchen at home. For this purpose, he hired two professionals who work for him 6 hours a day for 7 days. What does it cost Kamil to hire these professionals if one of them is paid $15 per hour of work?
[Answer]
Two professionals work together 6 * 2 = 12 hours per day. They work for 7 days, so in total it means 7 * 12 = 84 hours. The cost of hiring these persons is 84 * 15 = $1260. The answer is 1260.