Question: The sum of the ages of two friends, Alma and Melina, is twice the total number of points Alma scored in a test. If Melina is three times as old as Alma, and she is 60, calculate Alma's score in the test?
Answer: If Melina is three times as old as Alma, and she is 60, Alma is 60 / 3 = 20 years old. The sum of their ages is 60 + 20 = 80 years. Since the sum of Alma and Melina's age is twice the total number of points Alma scored in a test, Alma's score in the test was 80 / 2 = 40 points. The answer is 40.
[Question]Frankie and Carla played 30 games of ping pong against each other. Frankie won half as many games as did Carla. How many games did Carla win?
[Answer]Let x be the number of games that Frankie won. Then the number of games Carla won would be 2 * x. And the sum of all the games would be x + 2 * x = 30 games. Thus, the expression simplifies to 3 * x = 30. And the value of x = 10 games. Therefore, the number of Carla's wins would be 2x = 20 games. The answer is 20.
Q: Jake splits 8 shots of vodka with his friend. Each shot of vodka is 1.5 ounces. If the vodka is 50% pure alcohol, how much pure alcohol did Jake drink?
A: Jake drank 8 / 2 = 4 shots. So he drank 4 * 1.5 = 6 ounces of vodka. That means he drank 6 * .5 = 3 ounces of pure alcohol. The answer is 3.
Question: Benny bought 2 soft drinks for$ 4 each and 5 candy bars. He spent a total of 28 dollars. How much did each candy bar cost?
Answer: Benny spent 2 * $4 = $8 on soft drinks. Benny spent a total of $28 - $8 on soft drinks = $20 on candy bars. Benny spent $20 / 5 candy bars = $4 for each candy bar. The answer is 4.
[Question]Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten 20 hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record?
[Answer]Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75 - 20 = 55 hotdogs to tie Joey Chestnut. Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10 / 2 = 5 minutes left until the competition is over. If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55 / 5 = 11 hot dogs per minute to have a chance of tying for a win. The answer is 11.
[Question]A group of 300 athletes spent Saturday night at Ultimate Fitness Camp. The next morning, for 4 hours straight, they left the camp at a rate of 28 athletes per hour. Over the next 7 hours, a new group of athletes trickled into the camp at a rate of 15 athletes per hour. Immediately thereafter, the camp gate was shut and everyone went to bed. What is the difference in the total number of athletes in the camp over the two nights?
[Answer]
The number that left the camp on Saturday morning was 4 * 28 = 112 athletes. This means that in the camp there remained 300 - 112 = 188 athletes. The new group trickling in on Sunday morning comprised 7 * 15 = 105 athletes. The number that slept at the camp on Sunday night is therefore 188 + 105 = 293 athletes. Since there were 300 athletes on Saturday night, the difference is 300 - 293 = 7 athletes. The answer is 7.