Question: Nigella is a realtor who earns a base salary of $3,000 a month plus a 2% commission on every house she sells. One month, Nigella sells 3 houses and earns $8,000 total. House B costs three times as much as House A. House C cost twice as much as House A minus $110,000. How much did House A cost?
Answer: First figure out how much money Nigella earned from commission by subtracting her base salary from her total earnings: $8,000 - $3,000 = $5,000. Next, figure out how much all three houses cost by dividing Nigella's commission money by her commission rate: $5,000 ÷ 0.02 = $250,000. Next, express each house's price in terms of A's price: B = 3A, and C = 2A - $110,000. Now we know that A + 3A + 2A - $110,000 = $250,000. We can combine like terms to find that 6A - $110,000 = $250,000. Now we add $110,000 to both sides of the equation and get 6A = $360,000. We can divide both sides by 6 to find A = $60,000. The answer is 60000.
[Question]Yuri has been adopting puppies for a month now. The first week he adopted 20 puppies, the second week 2/5 times as many puppies as the first week, the third week twice the number of puppies he adopted in the second week, and the fourth week ten more puppies than he adopted on the first week. How many puppies does Yuri have now?
[Answer]The number of adopted puppies in the second week is 2 / 5 * 20 puppies = 8 puppies. In the third week, Yuri adopted 2 * 8 puppies = 16 puppies. In the fourth week Yuri adopted ten more puppies than the third week, which totals 10 puppies + 20 puppies = 30 puppies. The total number of puppies in the four weeks is 30 puppies + 16 puppies + 8 puppies + 20 puppies = 74 puppies. The answer is 74.
Q: Sherman has a 30-minute commute to the office and a 30-minute commute home every day. On the weekends, he spends 2 hours, each day, driving his kids to their different activities. How many hours does Sherman drive a week?
A: He drives 30 minutes to work and 30 minutes home every day for a total of 30 + 30 = 60 minutes. He makes this drive 5 days a week for a total of 5 * 60 = 300 minutes. There are 60 minutes in 1 hour and he drives 300 minutes, 5 days a week so that's 300 / 60 = 5 hours. He drives 2 hours on both Saturday and Sunday so he drives 2 * 2 = 4 hours on the weekends. He commutes 5 hours during the week and spends 4 hours driving on the weekend for a total of 5 + 4 = 9 hours. The answer is 9.
Question: Teairra has 5 shirts and 24 pairs of pants in her closet. If 3 of Teairra's shirts are plaid and 5 of Teairra's pants are purple, how many shirts and pants does Teairra has which are neither plaid nor purple?
Answer: If 3 of Teairra's shirts are plaid, 5 - 3 = 2 shirts are not plaid. Also, 5 of Teairra's pants are purple, meaning 24 - 5 = 19 pants are not purple. The number of shirts and pants that Teairra has which are neither plaid nor purple is 19 + 2 = 21. The answer is 21.
[Question]Greg and Sarah have 18 apples that they are going to split evenly. Susan has twice as many apples as Greg will end up with. Mark has 5 fewer apples than Susan. Their mom needs 40 apples to make an apple pie. How many will she have left over?
[Answer]Greg and Sarah will split their apples, so 18 apples / 2 = 9 apples per child. Susan has 2 * 9 apples = 18 apples. Mark has 18 apples - 5 apples = 13 apples. Combined the children have 9 apples + 9 apples + 18 apples + 13 apples = 49 apples. Mom will have 49 apples - 40 apples = 9 apples left over. The answer is 9.
[Question]Cole wants to fence his backyard on three sides. His backyard is 9 feet along the sides and 18 feet along the back. The neighbor behind him agreed to pay for half of their shared side of his fence, and the neighbor on his left agreed to pay for a third of their shared side. Fencing costs $3 per foot. How much does Cole have to pay for the fence?
[Answer]
Cole has to pay 3 * 9 = $27 for one side of the side fence. For the shared left fence, he has to pay two - thirds of 27, so he has to pay 27 * 2 / 3 = $18. The shared back fence will cost 3 * 18 = $54. He has to pay for half the back fence, so it will cost 54 / 2 = $27. Thus, Cole has to pay 18 + 27 + 27 = $72 for the fence. The answer is 72.