Q: Nancy wants to figure out if she can afford to apply to the University of Michigan. The tuition costs $22,000 per semester. Her parents can pay half the cost, and each semester Nancy can get a scholarship for $3,000 and a student loan for twice her scholarship amount. If Nancy can work a total of 200 hours during the semester, how many dollars does she have to make per hour to pay the rest of the tuition?
A: First figure out how much Nancy has to pay after her parents pay their half by dividing the tuition by 2: $22,000 / 2 = $11,000. Then figure out how much Nancy's student loan is by multiplying her scholarship amount by 2: $3,000 * 2 = $6,000. Now subtract the amounts of Nancy's scholarship and loan to find out how much tuition she has to pay by working: $11,000 - $3,000 - $6,000 = $2,000. Now divide the remaining unpaid tuition by the number of hours Nancy works to find out how much she needs to make per hour: $2,000 / 200 hours = $10 / hour. The answer is 10.
Question: Half of all the people in Nantucket will attend a planned meeting for a bowl game. There are 300 people in Nantucket, and the number of males going to the meeting is twice the number of females. How many females are going to the meeting?
Answer: If half of the people in Nantucket are going to the planned meeting, then there are 1 / 2 * 300 = 150 people going to the meeting. If the number of males going to the meeting is twice the number of females, we'll assume the number of females is x and the number of males is 2x. We know that x + 2x = 150. Adding like terms produces 3x = 150. After dividing both sides by 3, we have x = 150 / 3 = 50. The number of females attending the meeting is x = 50. The answer is 50.
[Question]Bob grew corn in his garden and is ready to harvest it. He has 5 rows of corn, and each row has 80 corn stalks. About every 8 corn stalks will produce a bushel of corn. How many bushels of corn will Bob harvest?
[Answer]Bob has 5 rows of corn, each with 80 corn stalks, so he has 5 rows * 80 stalks per row = 400 corn stalks. 8 corn stalks will produce a bushel of corn, so Bob will harvest 400 corn stalks / 8 corn stalks per bushel = 50 bushels of corn. The answer is 50.
Q: Kelly puts string cheeses in her kids lunches 5 days per week. Her oldest wants 2 every day and her youngest will only eat 1. The packages come with 30 string cheeses per pack. How many packages of string cheese will Kelly need to fill her kids lunches for 4 weeks?
A: Her oldest wants 2 strings cheeses a day for 5 days so 2 * 5 = 10 string cheeses. Her youngest wants 1 string cheese a day for 5 days so 1 * 5 = 5 string cheeses. Together they want 10 + 5 = 15 string cheeses a week. Over 4 weeks, her kids will eat 15 string cheeses so 4 * 15 = 60 string cheeses. The bags have 30 per pack and she needs 60 so 60 / 30 = 2 packs of string cheese. The answer is 2.
Question: There are 6 forks in the cutlery drawer. There are 9 more knives than forks, and there are twice as many spoons as knives and half as many teaspoons as forks. After 2 of each cutlery is added to the drawer, how many pieces of cutlery are there in all?
Answer: There are 6 + 9 = 15 knives. There are 15 x 2 = 30 spoons. There are 6 / 2 = 3 teaspoons. There are 6 + 15 + 30 + 3 = 54 pieces before adding more cutlery. 2 of each 4 types of cutlery are added, and therefore 2 x 4 = 8 pieces added. In total there are 54 + 8 = 62 pieces of cutlery in the drawer. The answer is 62.
Q: Rockefeller Army Base has 3000 more than twice as many guns as Grenada Army Base, 400 less than thrice as many war tractors as Grenada Army Base, and 30 times as many soldier uniforms as Grenada Army Base reserved for its national protection. How many total war supplies does Rockefeller have if Grenada's war supplies are equally divided among the 6000 war supplies they have in total?
A:
For each component, Grenada Army Base has 6000 / 3 = 2000 each of guns, war tractors, and soldier uniforms. Rockefeller Army Base has 3000 + 2 * 2000 = 7000 guns. Rockefeller Army Base has 3 * 2000 - 400 = 5600 war tractors. Rockefeller Army Base has 30 * 2000 = 60000 soldier uniforms. The total war supplies Rockefeller Army Base has reserved are 60000 + 5600 + 7000 = 72600 war supplies for its national protection. The answer is 72600.