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: Tom weighs 150 kg. He manages to hold 1.5 times his weight in each hand while wearing a weight vest weighing half his weight. How much total weight was he moving with?
Answer: He was carrying 150 * 1.5 = 225 kg in each hand. So he had 225 * 2 = 450 kg in his hands. The weight vest weighed 150 * .5 = 75 kg. So he had a total of 450 + 75 = 525 kg he was moving. The answer is 525.
[Question]At the beginning of an academic year, there were 15 boys in a class and the number of girls was 20% greater. Later in the year, transfer students were admitted such that the number of girls doubled but the number of boys remained the same. How many students are in the class now?
[Answer]The original number of girls was 20% greater than 15 (the number of boys) giving 15 + (20 / 100) * 15 = 18. After the admission of transfer students, the number of girls doubled to become 18 * 2 = 36. In addition to the 15 boys, there are now 15 + 36 = 51 students in the class. The answer is 51.
Q: Geordie takes a toll road on his drive to work and back every day of his five-day workweek. The toll is $12.50 per car or $7 per motorcycle. Both his car and his motorcycle get 35 miles per gallon of gas and the commute to work is 14 miles. Gas costs him $3.75 per gallon. Geordie drives his car to work three times a week and his motorcycle to work twice a week. How many dollars does he spend driving to work and back on the same route in a week?
A: Geordie pays 12.50 * 3 = $37.50 for car tolls driving to work three times a week. He pays 7 * 2 = $14 for motorcycle tolls driving to work twice a week. He drives 14 * 5 = 70 miles to work each five - day workweek. He uses 70 / 35 = 2 gallons of gas on the drive. He spends 3.75 * 2 = $7.50 on gas each week. Thus, he spends 37.50 + 14 + 7.50 = $59 driving to work. Since he drives to work and back from work, he spends 59 * 2 = $118 a week. The answer is 118.
Question: During one game, a total of 50 people attended a baseball team’s games. Forty percent and thirty-four percent of the audiences are supporters of the first and second teams, respectively. How many people attended the game did not support either of the teams?
Answer: 50 x 60 / 100 = 30 people support the first team. 50 x 34 / 100 = 17 people support the second team. So, a total of 30 + 17 = 47 people supported the first and second teams. Thus, 50 - 47 = 3 people did not support either team. The answer is 3.
Q: George was selling some of his old toys on the internet. He managed to sell 3 little cars and a set of Legos. In total, he earned $45. How much did the Legos set cost, if one little car was sold for $5?
A:
George sold 3 cars, so he earned 3 cars * $5 / car = $15 from them. The lego set cost was then $45 - $15 = $30. The answer is 30.