Q: Ms. Alice can grade 296 papers in 8 hours. How many papers can she grade in 11 hours?
A: First you must recognize that the problem involves finding the rate of how fast Ms. Alice can grade papers. To find how many papers she can grade in 11 hours, it would be useful to first find out how many papers she can grade in one hour. To do so, divide 296 papers by 8 hours, 296 / 8, to get 37. Therefore, Ms. Alice can grade 37 papers in one hour. To find out how many papers she can grade in 11 hours, multiply the number of papers she can grade in one hour by 11. 37 * 11 gives you 407. Ms. Alice can grade 407 papers in 11 hours. The answer is 407.
Question: William's class set a goal each week of the number of cans of food that is to be collected. On the first day, 20 cans were collected. Then the number of cans increased by 5 each day. If they collected 5 days a week to reach their goal, how many cans of food was their goal per week?
Answer: On the second day, they collected 20 + 5 = 25 cans. On the third day, they collected 25 + 5 = 30 cans. On the fourth day, they collected 30 + 5 = 35 cans. On the fifth day, they collected 35 + 5 = 40 cans. Thus, the goal of William's class is to collect a total of 20 + 25 + 30 + 35 + 40 = 150 cans of food per week. The answer is 150.
[Question]Every year, Tabitha adds a new color to her hair. She started this tradition when she was 15 years old, which was the year she added her second hair color. In three years, Tabitha will have 8 different colors in the hair. Currently, how old is Tabitha?
[Answer]Since, three years from now, Tabitha will have 8 different colors in her hair, this year she has 8 - 3 = 5 colors in her hair. Since she had 2 colors in her hair at the age of 15, she has added 5 - 2 = 3 colors since she was 15 years old. Since she ads one color per year, 3 added colors = 3 added years. Thus, currently, she is 15 + 3 = 18 years old. The answer is 18.
Q: Gilbert, the bearded dragon, eats 4 crickets per week when the temperature averages 90 degrees F per day, but he eats twice as many crickets per week when the temperature averages 100 degrees F. How many crickets will he eat over 15 weeks if the temperature averages 90 degrees F for 80% of the time, and 100 degrees F for the remainder of the time?
A: It will be 90 degrees for 80% of the 15 weeks, for a total of 0.8 * 15 = 12 weeks. It will be 100 degrees F for the remainder of the 15 weeks, or 15 - 12 = 3 weeks. During the 12 weeks when it averages 90 degrees F, he will eat 4 crickets per week for a total of 12 * 4 = 48 crickets. When it averages 100 degrees F, he eats twice as many crickets per week as when it averages 90 degrees F per week, for a total of 2 * 4 = 8 crickets per week. During these 3 weeks, he will eat 8 * 3 = 24 crickets. Therefore, over the 15 weeks, he will eat a total of 48 + 24 = 72 crickets. The answer is 72.
Question: Toms car gets 50 miles to the gallon. He drives 75 miles per day. If gas is $3 per gallon how much does he spend on gas in 10 days?
Answer: He drives 75 * 10 = 750 miles. So he uses 750 / 50 = 15 gallons. That means he spends 15 * 3 = $45 on gas. The answer is 45.
Q: This year the Oscar swag bags include two diamond earrings that cost $6,000 each, a new iPhone that costs $2,000, and some designer scarves that each cost $1,500. If the total value of the swag bag is $20,000, how many scarves are there?
A:
First find the total cost of the diamond earrings: $6,000 / earring * 2 earrings = $12,000. Then subtract the cost of the earrings and iPhone from the total cost of the bags to find the cost of all the scarves: $20,000 - $12,000 - $2,000 = $6,000. Then divide the total cost of the scarves by the cost per scarf to find the number of scarves: $6,000 / $1,500 / scarf = 4 scarves. The answer is 4.