Q: Peggy is moving and is looking to get rid of her record collection. Sammy says that he will buy all of them for 4 dollars each. Bryan is only interested in half of the records but will offer 6 dollars each for the half that he is interested in and 1 dollar each for the remaining half that he is not interested in with the hopes that he can resell them in bulk later. If Peggy has 200 records, what is the difference in profit between Sammy versus Bryan's deal?
A: Sammy is offering to take the whole collection of 200 records and pay Peggy 4 dollars each for them which would net Peggy 200 * 4 = 800 dollars for her entire record collection. Bryan is willing to buy Peggy's entire record collection but at two different price points, half at one point and half at another. Half of Peggy's record collection is 200 / 2 = 100, which means that 100 records will sell for one price and 100 records will sell for another price. Bryan is willing to pay more for the half of the record collection that he is interested in so Peggy would net 100 * 6 = 600 dollars for the first half of her record collection. For the half of the collection that Bryan is just planning on reselling at a later date, he is willing to offer Peggy 100 * 1 = 100 dollars to take off of her hands. In total Bryan is willing to offer Peggy 600 + 100 = 700 dollars for her entire record collection. If Sammy is offering 800 dollars to buy Peggy's entire record collection and Bryan is offering 700 dollars for Peggy's entire record collection, then Peggy's net profit would be 800 - 700 = 100 dollars more by taking Sammy's deal instead of Bryan's deal. The answer is 100.
Question: Tony exercises every morning by walking 3 miles carrying a 25-pound backpack, then he runs another 10 miles without the backpack. If he walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour, how many hours each week does he spend exercising?
Answer: Tony walks 3 miles at 3 miles per hour for 3 / 3 = 1 hour. Tony also runs 10 miles at 5 miles per hour for 10 / 5 = 2 hours. Thus, each day he exercises for 1 + 2 = 3 hours. Over the course of one week, he exercises for 3 * 7 = 21 hours. The answer is 21.
[Question]Gloria has five times as many dimes as quarters in her graduation money. She decides to put 2/5 of the quarters aside for future use. If she has 350 dimes, calculate the combined number of quarters and dimes she has after putting aside 2/5 of the quarters?
[Answer]If the number of dimes is 20 times the number of quarters, she has 350 / 5 = 70 quarters. When she puts 2 / 5 of the quarters away, the number of quarters reduces by 2 / 5 * 70 = 28. She's now left with 70 - 28 = 42 quarters. In total, she has 42 quarters + 350 dimes = 392. The answer is 392.
Q: My mother celebrated her birthday with a total of 60 guests. Half of the guests are women, 15 are men, and the rest are children. In the middle of the celebration, 1/3 of the men and 5 children left. How many people stayed and enjoyed the birthday celebration?
A: There were 60 guests / 2 = 30 women at my mother's birthday celebration. There were 30 women + 15 men = 45 men and women. So, 60 people - 45 men and women = 15 were children. Then, 15 men / 3 = 5 men left. Thus, 5 men + 5 children = 10 people left. Therefore, 60 people - 10 people = 50 people stayed and enjoyed the birthday celebration. The answer is 50.
Question: Erik's dog can run 24 miles per hour. It is chasing a rabbit that can run 15 miles per hour. The rabbit has a head start of .6 miles. How many minutes does it take for the dog to catch up to the rabbit?
Answer: The dog runs .4 miles per minute because 24 / 60 = .4. The rabbit runs .25 miles per minute because 15 / 60 = .25. We know that .4(Number of Minutes) = .25(Number of Minutes) + .6. Therefore .15(Number of Minutes) = .6. Therefore (Number of Minutes) = 4. The answer is 4.
Q: Josh went to the shopping center. He bought 9 films and 4 books. He also bought 6 CDs. Each film cost $5, each book cost $4 and each CD cost $3. How much did Josh spend in all?
A:
The cost of the films is 9 $5 = $45. The cost of the books is 4 $4 = $16. The cost of the CDs is 6 $3 = $18. Josh spent $45 + $16 + $18 = $79 in total. The answer is 79.