Question: On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?
Answer: The total ratio of goats and sheep on the farm is 5 + 7 = 12. The fraction that represents goats from the total ratio is 5 / 12, and since there are 360 goats and sheep on the farm, the number of goats is 5 / 12 * 360 = 150. The number of sheep on Mr. Mathews's farm is 360 - 150 = 210. Mr. Mathews sold 1 / 2 * 150 = 75 goats. If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75 * $40 = $3000. He also sold 2 / 3 * 210 = 140 of the total sheep on his farm. The income from the sale of the sheep is 140 * $30 = $4200. From the sale of goats and sheep, Mr. Mathews made $4200 + $3000 = $8600. The answer is 7200.
[Question]A baker bakes 5 loaves of bread an hour in one oven. He has 4 ovens. From Monday to Friday, he bakes for 5 hours, but on Saturday and Sunday, he only bakes for 2 hours. How many loaves of bread does the baker bake in 3 weeks?
[Answer]In an hour, the baker bakes 5 x 4 = 20 loaves of bread. From Monday to Friday, he bakes 5 x 20 = 100 loaves of bread per day. From Monday to Friday, he bakes a total of 100 x 5 = 500 loaves of bread. On Saturday and Sunday, he bakes 2 x 20 = 40 loaves of bread per day. On Saturday and Sunday, he bakes a total of 40 x 2 = 80 loaves of bread. In a week, he bakes 500 + 80 = 580 loaves of bread. In 3 weeks, he bakes 580 x 3 = 1740 loaves of bread. The answer is 1740.
Q: Jason spent 1/4 of his money and an additional $10 on some books. He then spent 2/5 of the remaining money and an additional $8 on some DVDs. If he was left with $130, how much money did he have at first?
A: Let X be the money Jason had at first. Jason spent 1 / 4 * X + 10 on books. Jason spent 2 / 5 * [X - (1 / 4 * X + 10)] + 8 on some DVDs. Jason has X - (1 / 4 * X + 10) - {2 / 5 * [X - (1 / 4 * X + 10)] + 8} = $130 left. X - 1 / 4 * X - 10 - 2 / 5 * X + 1 / 10 * X + 4 - 8 = $130. 9 / 20 * X - 14 = $130. X = $320. The answer is 320.
Question: Jill sells girl scout cookies. This year, she wants to sell at least 150 cookie boxes. Her first customer buys 5 boxes, Her second one buys 4 times more than her first customer. Her third customer buys half as much as her second. The fourth customer buys 3 times as much as her third. Lastly, her final customer buys 10. How many boxes so Jill have left to sell to hit her sales goal?
Answer: Jill's second customer buys 4 times more than her first customer's 5 boxes, so they buy 4 * 5 = 20 boxes. Jill's third customer buys half of what her second customer bought, so that means they buy 20 / 2 = 10 boxes. Jill's fourth customer buys 3 times as many as what her third customer bought, so that means they buy 10 * 3 = 30 boxes. Adding in the 5 boxes sold to the first customer, and the 10 boxes sold to the last one, that means Jill has sold 5 + 10 + 20 + 10 + 30 = 75 boxes. Since Jill's goal is 150 boxes sold, and she's only sold 75 so far, she needs to sell 150 - 75 = 75 more boxes to hit her goal. The answer is 75.
[Question]Wade has a hot dog food truck. He makes $2.00 in tips per customer. On Friday he served 28 customers. He served three times that amount of customers on Saturday. On Sunday, he served 36 customers. How many dollars did he make in tips between the 3 days?
[Answer]On Saturday, he served 3 times the amount of customers that he served on Friday, which was 28 customers so he served 3 * 28 = 84 customers. He served 28 customers on Friday, 84 on Saturday and 36 customers on Sunday for a total of 28 + 84 + 36 = 148 customers. Each customer tipped him $2.00 and he had 148 customers so he made 2 * 148 = $296.00. The answer is 296.
[Question]It takes a dog groomer 10 minutes to dry a short-haired dog like a beagle. It takes him twice as long to dry a full-haired, fluffy dog like a german shepherd. One morning, he has 6 short-haired dogs to dry and 9 full-haired dogs to dry. How many hours does it take him to dry all of the dogs?
[Answer]
It takes 10 minutes to dry the coat of a short - haired dog and twice as long for a full haired dog so they take 10 * 2 = 20 minutes to dry. He had 6 short hair dogs and they took 10 minutes to dry each so they took 6 * 10 = 60 minutes to dry. He had 9 full haired dogs that took 20 minutes to dry each so they took 9 * 20 = 180 minutes to dry. Together is takes him 60 + 180 = 240 minutes to dry all of the dogs. 60 minutes are in 1 hour and he spends 240 minutes on the dogs so he worked for 240 / 60 = 4 hours drying the dogs. The answer is 4.