Question: Claire is scheduling her day. She has four hours to clean and two hours to cook, then divides the rest of her working day equally between crafting and tailoring. She then sleeps eight hours. If all of this takes place within one day, how many hours did Claire spend crafting?
Answer: We know Claire has spent a total of 24 hours in a day - 4 hours cleaning - 2 hours cooking - 8 hours sleeping = 10 hours crafting and tailoring. Since she split her time equally, she must have spent 10 hours * 0.5 = 5 hours crafting. The answer is 5.
[Question]A convenience store sold 100 bags of chips in a month. In the first week, 15 bags of chips were sold. In the second week, thrice as many bags of chips were sold. There was an equal number of chips sold in the third and fourth week. How many chips was each sold in the third and fourth week?
[Answer]In the second week, 15 x 3 = 45 bags of chips were sold. So there was a total of 45 + 15 = 60 bags of chips sold on the first and second week. Thus, a total of 100 - 60 = 40 bags of chips were sold on the third and fourth week. Therefore, 40 / 2 = 20 bags of chips were each sold on the third and fourth week. The answer is 20.
Q: A rancher has 340 head of cattle. He was about to sell them all for $204,000 when 172 of them fell sick and died. Because of the sickness, his customers lost confidence in his cattle, forcing him to lower his price by $150 per head. How much money would the devastated farmer lose if he sold the remaining cattle at the lowered price compared to the amount he would have made by selling them at the original price?
A: The rancher would have sold his cattle for $204,000 / 340 = $600 per head. He was left with a remainder of 340 - 172 = 168 head of cattle. The lowered price is $600 - $150 = $450 per head. He would make $450 x 168 = $75,600 at the lowered price. He could have made $600 x 168 = $100,800 at the original price. He would lose $100,800 - $75,600 = $25,200. The answer is 25200.
Question: 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?
Answer: 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]At a flea market, Hillary sells handmade crafts for 12 dollars per craft. Today, Hillary sells 3 crafts and is given an extra 7 dollars from an appreciative customer. Later on, Hillary deposits 18 dollars from today's profits into her bank account. How many dollars is Hillary left with after making the deposit?
[Answer]Hillary sells 3 crafts for 12 dollars each, for a total of 3 crafts * $12 / craft = $36. She receives an extra 7 dollars from a customer, increasing the total to $36 + $7 = $43. She then deposits 18 dollars in the bank, leaving her with $43 - $18 = $25. The answer is 25.
[Question]Cindy was hired to teach 4 math courses which required her to be in the classroom for 48 hours a week altogether. How much did Cindy earn for teaching 1 math course in a month with exactly 4 weeks if her hourly rate per class is $25?
[Answer]
In a week, Cindy spends an average of 48 hours / week / 4 courses = 12 hours / week for 1 math course. In a month, 1 math course is 12 hours / week x 4 weeks / month = 48 hours. Therefore, she earns $25 / hour x 48 hours / week = $1200 a month for 1 math course. The answer is 1200.