Q: There were 10000 spectators at a basketball match. 7000 of them were men. Of the remaining spectators, there were 5 times as many children as women. How many children were there?
A: There were 10000 - 7000 = 3000 women and children. There were 3000 (5 + 1) = 500 women. There are 500 5 = 2500 children at the basketball match. The answer is 2500.
Question: Sonia and Joss are moving to their new house at the lake. They have too much stuff in their previous house and decide to make multiple trips to move it all to the new house. They spend 15 minutes filling the car with their stuff and spend 30 minutes driving from the previous house to the new house. Fortunately, they did not waste any time unloading their stuff into the new house. In total they make 6 trips to complete the move. How many hours did they spend moving?
Answer: They spend 15 minutes / trip + 30 minutes / trip = 45 minutes / trip filling the car and driving to the new house. They had to take 6 trips, so they spend 45 minutes / trip x 6 / trip = 270 minutes. They also had to drive back to their previous house 5 times to complete the move: 30 minutes / trip x 5 trips = 150 minutes. In total, they spent 270 minutes + 150 minutes = 420 minutes. Each hour has 60 minutes so they spent 420 minutes 60 minutes / hour = 7 hours in total. The answer is 7.
[Question]Dana has 15 more pencils than Jayden, who has twice as much as Marcus. How many more pencils does Dana have than Marcus, if Jayden has 20 pencils?
[Answer]Dana has 15 more pencils than Jayden who has 20, so Dana has 20 + 15 = 35 pencils. Jayden has 20 pencils which is twice as much as Marcus's so Marcus has 20 / 2 = 10 pencils. Dana has 35 - 10 = 25 more pencils than Marcus. The answer is 25.
Q: A cake has 8 slices and each slice contains 347 calories. A pan of brownies has 6 brownies and each slice contains 375 calories. How many more calories does the cake have?
A: The cake has 8 slices * 347 calories = 2776 calories. The brownies have 6 slices * 375 = 2250 calories. The cake has 2776 calories - 2250 = 526 more calories. The answer is 526.
Question: Carlson bought land that cost $8000 and additional land that cost $4000. He initially owned 300 square meters of land. If the land he bought costs $20 per square meter, how big is his land after buying the new land?
Answer: Carlson bought land that cost $20 per square meter, therefore the size of the land he bought is 8000 / 20 = 400. And the size of the other land he bought is 4000 / 20 = 200. Therefore the total size of the land he owns is 400 + 200 + 300 = 900. The answer is 900.
Q: The Period 1 gym class has 5 fewer than twice as many students as in the Period 2 gym class. There are 11 students in the Period 1 gym class. How many are in the Period 2 gym class?
A:
Let x be the number of students in the Period 8 gym class. 2x - 5 = 11. 2x = 16. x = 8. The answer is 8.