Q: Ben has two brothers. They can each eat 12 slices of pizza. They are ordering pizza for the night and want to make sure they get enough. The large pizzas have 14 slices and the small pizzas have 8. If they order 1 small pizza, how many large pizzas do they need to order?
A: They need 36 slices because 3 x 12 = 36. After ordering the small, they need 28 slices because 36 - 8 = 28. They need 2 large pizzas because 28 / 14 = 2. The answer is 2.
Question: Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?
Answer: Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47. The answer is 47.
[Question]At a birthday party, 30% of the guests are married, 50% are single, and the rest are children. If there are 1000 guests, how many more married people are there than children?
[Answer]There are 1000 x 30 / 100 = 300 people who are married. There are 1000 x 50 / 100 = 500 people who are single. So, there are a total of 300 + 500 = 800 that are either married or single. This means, 1000 - 800 = 200 are children. Therefore, there are 300 - 200 = 100 more married people than children. The answer is 100.
Q: Romeo buys five bars of chocolate at $5 each and sells these chocolates for a total of $90. If he uses packaging material that costs him $2 for each bar of chocolate, how much profit does he make for all the chocolates he sells?
A: The selling price for each bar of chocolate is 90 / 5 = $18. The profit for each bar of chocolate is 18 - 5 - 2 = $11. The total profit is 11 * 5 = $55. The answer is 55.
Question: A wheel on a certain machine makes 6 turns every 30 seconds. How many turns does it make in two hours?
Answer: Since there are 60 seconds in 1 minute, then there are 60 / 30 = 2 sets of 30 seconds in a minute. So a wheel makes 6 x 2 = 12 turns in 1 minute. Since there are 60 minutes in 1 hour, then a wheel makes 12 x 60 = 720 turns in an hour. Therefore, the wheel makes 720 x 2 = 1440 turns in 2 hours. The answer is 1440.
Q: Karen's work tote bag is twice the weight of her husband Kevin's briefcase when the briefcase is empty. When Kevin puts his laptop and work papers in his briefcase, it is twice the weight of Karen's tote. Kevin's work papers are a sixth of the weight of the contents of his full briefcase. If Karen's tote weighs 8 pounds, how many more pounds does Kevin's laptop weigh than Karen's tote?
A:
Kevin's full briefcase is 2 * 8 = 16 pounds. His empty briefcase is 8 / 2 = 4 pounds. The contents of his briefcase weigh 16 - 4 = 12 pounds. His work papers weigh 12 / 6 = 2 pounds. Thus, his laptop weighs 12 - 2 = 10 pounds. Therefore, Kevin's laptop weighs 10 - 8 = 2 pounds more than Karen's tote. The answer is 2.