Q: In a Math competition, Sammy scored 20 points, Gab scored twice as many as Sammy's score, while Cher scored twice as many as Gab's score. If their opponent scored 85 points, how many more points do they have than their opponent?
A: Gab scored 20 x 2 = 40 points. Cher scored 40 x 2 = 80 points. Their team scored 20 + 40 + 80 = 140 points. Therefore, they scored 140 - 85 = 55 more points than their opponent. The answer is 55.
Question: I run 12 miles in 90 minutes. What is my average speed in miles per hour?
Answer: First convert 90 minutes to hours: 90 minutes / 60 minutes / hours = 1.5 hours. In 1 hour, I run 12 miles / 1.5 hours = 8 miles / hour. The answer is 8.
[Question]Kyle goes to basketball practice every day for 2 hours. At practice he spends half of the time shooting and the rest of the time running and weight lifting. If he runs for twice the time he spends weightlifting, how much time in minutes does he spend lifting weight?
[Answer]Half of the 2 - hour practice is for running and weightlifting, so the time for running and weight lifting is 1 / 2 * 2 hours = 1 hour. If the time he lifts weights is x, then the time he runs is 2x. So the time for running and weight lifting is x + 2x = 3x = 1 hour. Thus 3x = 60 minutes. Thus x = 60 / 3 = 20 minutes spent weight lifting. The answer is 20.
Q: Marissa is serving her kids lunch. Each kid gets a burger with 400 calories and 5 carrot sticks with 20 calories each, and some cookies with 50 calories each. Marissa wants each kid to eat a total of 750 calories for lunch. How many cookies does each kid get?
A: First figure out how many total calories come from the carrots by multiplying the calories per carrot by the number of carrots: 20 calories / carrot * 5 carrots = 100 calories. Then subtract the calories the kids have already eaten from the goal number of calories to find out how many more total calories they should eat: 750 calories - 400 calories - 100 calories = 250 calories. Then divide the total number of calories by the calories per cookie to find the number of cookies each kid gets: 250 calories / 50 calories / cookie = 5 cookies. The answer is 5.
Question: Rookie police officers have to buy duty shoes at the full price of $85, but officers who have served at least a year get a 20% discount. Officers who have served at least three years get an additional 25% off the discounted price. How much does an officer who has served at least three years have to pay for shoes?
Answer: Cops that served a year pay $85 * 0.2 = $17 less. Cops that served a year pay $85 - $17 = $68. Cops that served at least 3 years get a $68 * 0.25 = $17 discount. Cops that served at least 3 years pay $68 - $17 = $51 for shoes. The answer is 51.
Q: Stan can type 50 words per minute. He needs to write a 5-page paper. Each page will contain 400 words. Each hour that he types he needs to drink 15 ounces of water. How much water does he need to drink while writing his paper?
A:
Stan needs to write 2,000 words because 5 x 400 = 2,000. This will take him 40 minutes because 2,000 / 50 = 40. He drinks 1 / 4 an ounce per minute because 15 / 60 = 1 / 4. He will drink 10 ounces of water while writing the paper because 40 x (1 / 4) = 10. The answer is 10.