Question: A company hires employees on a contract basis, depending on the availability of work. In a particular month, they hired 200 more employees on the first week than on the second week, and 150 fewer employees on the second week than on the third week. If the number of employees hired on the fourth week was twice the number hired in the third week, and the number of employees on the fourth week was 400, what's the average number of employees hired per week?
Answer: The fourth week had twice the number of employees as the third week, so 400 / 2 = 200 employees on the third week. In the third week, they hired 150 fewer employees than on the second week, that is 200 - 150 = 50 employees hired on the second week. The first week had 200 more hirings than the second week, that is 50 + 200 = 250 employees. The total number of employees hired is 250 + 50 + 200 + 400 = 900. The average number of employees hired per week is 900 / 4 = 225 employees. The answer is 225.
[Question]The PTA had saved $400 set aside after a fundraising event. They spent a fourth of the money on school supplies. Then they spent half of what was left on food for the faculty. How much money did they have left?
[Answer]They spent $400 / 4 = $100 on school supplies. They spent $300 / 2 = $150 on food. They had $300 - 150 = $150 left. The answer is 150.
Q: Rosie runs 6 miles per hour. She runs for 1 hour on Monday, 30 minutes on Tuesday, 1 hour on Wednesday, and 20 minutes on Thursday. If she wants to run 20 miles for the week, how many minutes should she run on Friday?
A: On Monday and Wednesday, Rosie runs 6 * 1 = 6 miles. On Tuesday, Rosie runs 6 * (30 minutes / 60 minutes) = 3 miles. On Thursday, Rosie runs 6 * (20 minutes / 60 minutes) = 2 miles. So far this week Rosie has run 6 + 3 + 6 + 2 = 17 miles. To reach her goal, she must run 20 - 17 = 3 miles on Friday. Thus, she should run for 6 / 3 = .5 hour which is 30 minutes. The answer is 30.
Question: On a road map, 1/4 inch represents 8 miles of actual road distance. The towns of Pence and Hillcrest are represented by points 3 3/8 inches apart on the map. What is the actual distance, in miles, between the towns?
Answer: If 1 / 4 inch on the map represents 8 miles on real land, 1 inch represents 4 * 8 = 32 miles. Since 1 inch represents 32 miles, 3 inches represent 3 * 32 = 96 miles. 1 / 4 inch represents 8 miles, 1 / 8 inch represents 8 / 2 = 4 miles because 1 / 8 is half of 1 / 4. If 1 / 8 inch represents 4 miles, 3 / 8 of an inch represents 3 * 4 = 12 miles. This means 3 3 / 8 inches on the map translate to 96 + 12 = 108 miles. The answer is 108.
[Question]Carmen is counting the cars that pass by her window. All the cars are either white, black, or red. She sees 50 trucks and 40 cars. Half the trucks are red, and another 20% are black. If she picks one car at random, what is the percentage chance it's a white truck, rounded to the nearest integer?
[Answer]First find the total number of vehicles Carmen counted: 50 trucks + 40 cars = 90 vehicles. Then find the number of trucks that were red: 50 trucks / 2 = 25 trucks. Then find the number of trucks that were black: 50 trucks * .2 = 10 trucks. Then subtract the red and black trucks from the total number of trucks to find the number of white trucks: 50 trucks - 25 trucks - 10 trucks = 15 trucks. Then divide the number of white trucks by the number of vehicles and multiply by 100% to find the percentage of vehicles that are white trucks: 15 trucks / 90 vehicles * 100% = 16.66...%, which rounds up to 17%. The answer is 17.
[Question]Jason worked for 9 years as a bartender and 3 years and six months as a manager. How many months of work experience does he have total?
[Answer]
First find how many months Jason worked as a bartender: 9 years * 12 months / year = 108 months. Then find how many months Jason worked as a manager: 3 years * 12 months / year + 6 months = 42 months. Then add those two amounts to find his total amount of work experience: 108 months + 42 months = 150 months. The answer is 150.