Q: A conference center has six rooms. Each room can hold up to 80 people. Today, the conference center is only 2/3 full. How many people are in the conference center?
A: The conference center can hold up to 80 x 6 = 480 people. Today, there are 480 x 2 / 3 = 320 people in the conference center. The answer is 320.
Question: Bobby received his weekly paycheck today. Although his salary is $450 per week, his actual paycheck is reduced in size because there are some taxes, insurance payments, and fees removed from his pay before his employer writes the check. If the government removes 1/3 in federal taxes and 8% in state taxes, the health insurance removes $50 per week, the life insurance removes $20 per week, and the city charges him a fee of $10 per week for parking, then what is the final amount left in Bobby's paycheck, in dollars?
Answer: The federal government takes out 1 / 3 * 450 = 150 dollars. The state takes out 0.08 * 450 = 36 dollars. Then the final amount remaining after all the deductions are removed is 450 - 150 - 36 - 50 - 20 - 10 = 184 dollars. The answer is 184.
[Question]John decides to get a new apartment with a roommate. His former rent was $2 per square foot for a 750 square foot apartment. His new apartment cost $2800 per month, which he splits evenly with the roommate. How much money does he save a year?
[Answer]His old apartment cost 750 * $2 = $1500 a month. His new apartment cost $2800 / 2 = $1400 a month. So he saves $1500 - $1400 = $100 a month. That means he saves $100 * 12 = $1200 a year. The answer is 1200.
Q: In a survey about the student's favorite sports, 40% said they like basketball, 10% like chess, 28% like soccer, and the rest said they like badminton. If 250 students were interviewed, how many students identified chess or basketball as their favorite sport?
A: The total percentage of students who said they like chess or basketball is 10% + 40% = 50%. So, 250 x 50 / 100 = 125 students like chess or basketball. The answer is 125.
Question: Janet is considering two options to retile her bathroom. The turquoise tiles cost $13/tile and the purple tiles cost $11/tile. If Janet needs to tile two walls that measure 5 feet by 8 feet and 7 feet by 8 feet, and each square foot of wall takes 4 tiles, how much will Janet save by buying the purple tiles instead of the turquoise ones?
Answer: First find the area of the first wall: 5 feet * 8 feet = 40 square feet. Then find the area of the second wall: 7 feet * 8 feet = 56 square feet. Then add the areas of the two walls to find the total area: 40 square feet + 56 square feet = 96 square feet. Then divide the number of square feet by the number of tiles per square foot to find the total number of tiles needed: 96 square feet * 4 tiles / square foot = 384 tiles. Then find the difference in cost per tile: $13 / tile - $11 / tile = $2 / tile. Then multiply the number of tiles by the cost difference per tile to find the total cost difference: $2 / tile * 384 tiles = $768. The answer is 768.
Q: Victoria was given a $50 bill by her mother to buy her friends snacks for their group meeting. She bought 2 boxes of pizza that costs $12 each and 2 packs of juice drinks that cost $2 each. How much money should Victoria return to her mother?
A:
Two boxes of pizza amount to $12 x 2 = $24. Two packs of juice amount to $2 x 2 = $4. Victoria paid a total of $24 + $4 = $28. Hence, she should return the $50 - $28 = $22 to her mother. The answer is 22.