Question: A rectangular plot of private property is fenced in by a chain-link fence. The long sides of the plot are three times the length of the short sides. One short side of the fence is rusted from being hit by a sprinkler and needs to be replaced. If all the sides of the fence together are 640 feet long, how many feet of fence need to be replaced?
Answer: Let S be the length of the short side of the fence. Thus, the length of a long side of the fence is 3S. There are 2 of each side, so the whole fence is 2S + 2 * 3S = 2S + 6S = 8S long. The whole fence is 8S = 640 feet long. Thus, the short side of the fence that needs to be replaced is S = 640 / 8 = 80 feet long. The answer is 80.
[Question]How many apples did two men and three women buy at a certain store if the two men each bought 30 apples, 20 less than the number of apples bought by each woman?
[Answer]If the two men each bought 30 apples, together they bought 2 * 30 = 60 apples. Since the two men each bought 30 apples, 20 less than the total number of apples bought by each woman, each woman bought 20 + 30 = 50 apples. The total number of apples bought by the women is 3 * 50 = 150. Altogether, the two men and three women bought 60 + 150 = 210 apples. The answer is 210.
Q: There are 40 Judges in the state of Rhode Island. 10 percent of Judges are under 30 years old. 60 percent of Judges are 30-50 years old. The rest of the Judges are over 50 years old. How many Judges are over 50 years old?
A: Under 30: 40(.10) = 4. 30 - 50 years old:40(.60) = 24. Over 50:40 - 4 - 24 = 12 Judges. The answer is 12.
Question: Seth bought some boxes of oranges. He gave a box to his mother. He then gave away half of the remaining boxes. If Seth has 4 boxes of oranges left, how many boxes did he buy in the first place?
Answer: After giving a box to his mom, Seth had 4 * 2 = 8 boxes left. Seth bought 8 + 1 = 9 boxes of oranges. The answer is 9.
[Question]Seth and his brother want to see their favorite band in concert. The tickets are $50.00 each. There is a 15% processing fee for the tickets. They are also charged $10.00 for parking and an additional $5.00 per person entrance fee. How much will it cost to go to the concert?
[Answer]The tickets are $50.00 each and they need 2 tickets so that's 50 * 2 = $100.00. There is a 15% processing fee for the tickets so that's 100 * .15 = $15.00. The tickets are $100.00 and the processing fee is $15.00 for a total of 100 + 15 = $115.00. There is a $5.00 per person entrance fee and there are 2 people so that's 5 * 2 = $10.00. The tickets are $115.00, parking is $10.00 and the entrance fee is $10.0 for a total of 115 + 10 + 10 = $135.00. The answer is 135.
[Question]Tom decides to make lasagna with all his beef. It takes twice as many noodles as beef. He has 10 pounds of beef. He already has 4 pounds of lasagna noodles and the noodles come in 2-pound packages. How many packages does he need to buy?
[Answer]
He needs 10 * 2 = 20 pounds of noodles. That means he needs to buy 20 - 4 = 16 pounds of noodles. So he needs to buy 16 / 2 = 8 packages. The answer is 8.