[Question]Scott wants to make and freeze a large batch of ratatouille. At the farmers' market he buys 5 pounds of eggplants and 4 pounds of zucchini at $2.00 a pound. He needs 4 pounds of tomatoes that are $3.50 a pound. The onions are $1.00 a pound and he needs 3 pounds. Then he needs a pound of basil which is sold for $2.50 per half pound. If this yields 4 quarts, how much does each quart cost?
[Answer]He buys 5 pounds of eggplants and 4 pounds of zucchini so he buys 5 + 4 = 9 pounds of produce. These 9 pounds are $2.00 a pound for a total of 9 * 2 = $18.00. He needs 4 pounds of tomatoes that are $3.50 a pound for a total of 4 * 3.50 = $14.00. He needs 3 pounds of onions that are $1.00 a pound so that's 3 * 1 = $3.00. The basil is sold by the half - pound and he needs a full pound so that's 2.50 * 2 = $5.00. The eggplants and zucchinis cost $18.00, the tomatoes are $14.00, the onions are $3.00 and the basil is $5.00 for a total of 18 + 14 + 3 + 5 = $40.00. This recipe makes 4 quarts and the total price of the vegetables was $40.00 so each quart costs 40 / 4 = $10.00. The answer is 10.
Q: Five shirts are bought. Of the 5 shirts, there are 3 shirts that cost $15 each. The remaining shirts are $20 each. What is the cost, in dollars, of all 5 shirts?
A: The first 3 shirts cost 15 * 3 = 45 dollars in total. There are 5 - 3 = 2 shirts remaining. The remaining 2 shirts cost 20 * 2 = 40 dollars in total. The five shirts cost 45 + 40 = 85 dollars. The answer is 85.
Question: Joseph had socks of many different colors. His dresser drawer was filled to overflowing with red, blue, black, and white socks. Uncertain of how many pairs he had of each color, he began to sort his socks. He discovered that he had three more pairs of blue socks than he had pairs of black socks. He had one less pair of red socks than he had pairs of white socks. He had twice as many blue socks as he had of red socks. And he counted a total of 6 red socks. What is the total number of Joseph's socks?
Answer: Starting with 6 red socks, twice the number of blue socks as red meant Joseph had 2 * 6 = 12 blue socks. With one less pair of red socks than white socks, this meant 2 fewer red socks than white, for a total of 6 - 2 = 4 white socks. Also, 12 blue socks = 6 pairs of blue socks. With three more pairs of blue socks than pairs of black socks, this means he had 6 - 3 = 3 pairs of black socks. And three pairs of black socks corresponds to 3 * 2 = 6 black socks. Thus, in total, he had 6 + 12 + 4 + 6 = 28 socks. The answer is 28.
[Question]Jenny is trying to convince her cat to walk on a leash. The cat spends twenty minutes resisting. Then Jenny coaxes the cat to walk 64 feet at a rate of 8 feet/minute. How many minutes does this whole process take?
[Answer]First find how many minutes the cat spends walking: 64 feet / 8 feet / minute = 8 minutes. Then add this to the time the cat spent resisting to find the total amount of time: 8 minutes + 20 minutes = 28 minutes. The answer is 28.
Q: Alfonso earns $6 each day walking his aunt’s dog. He is saving to buy a mountain bike helmet for $340. Currently, he already has $40. If he walks his aunt's dog 5 days a week, in how many weeks should Alfonso work to buy his mountain bike?
A: Alfonso has to work for the $340 - $40 = $300. In a week, he earns $6 x 5 = $30. Thus, he needs to work $300 / $30 = 10 weeks to buy the bike. The answer is 10.
Question: There are 25 different layers of rock in a canyon’s strata. Five of the layers are limestone. Half of the rest are sandstone. Four of the remaining are quartz. Half of the rest are shale. The rest are all different kinds of rock. How many kinds of rock make up only one layer in the canyon’s strata?
Answer:
There are 25 - 5 = 20 layers of rock that are not limestone. Half of those 20 are sandstone, so there are 20 / 2 = 10 that are not limestone or sandstone. Four of those are quartz, so 10 - 4 = 6 layers are not limestone, sandstone, or quartz. Half of the rest are shale, so 6 / 2 = 3 kinds of rock remain that make up only one layer in the strata. The answer is 3.