Q: James decides to try and collect rare artifacts in the field. He spends 6 months researching before going on a 2-year-long expedition for his first find. The second artifact takes 3 times as long for the research and discovery. How long did it take him to find both?
A: The research took 6 / 12 = .5 years. So it took 2 + .5 = 2.5 years for the first artifact. It takes 2.5 * 3 = 7.5 years for the second. So in total it took 2.5 + 7.5 = 10 years to find both. The answer is 10.
Question: Nancy agreed to pay 40% of the cost of her daughter's car insurance, which costs $80 a month. How much will Nancy pay each year?
Answer: First calculate Nancy's monthly portion of the car insurance by multiplying the total cost by 40%: .4 * $80 = $32. Then multiply the monthly cost by 12 to find the annual cost: $32 * 12 = $384. The answer is 384.
[Question]A café has a few orders to cook and also needs to makes sandwiches for a group of customers that arrived. 3 local offices have each ordered 10 bacon sandwiches and half of the group that has arrived have asked for 4 bacon sandwiches each. If the café makes a total of 54 bacon sandwiches, how many customers are in the group of customers that arrived?
[Answer]The offices ordered a total of 3 offices * 10 sandwiches each = 30 sandwiches. So the group of customers must have ordered 54 total sandwiches – 30 sandwiches for the offices = 24 sandwiches. This is a total of 24 sandwiches / 4 sandwiches per customer = 6 customers who ordered a sandwich. As only half the group ordered a bacon sandwich, the entire group must have consisted of 6 customers * 2 = 12 customers. The answer is 12.
Q: Aliya and her classmates are sent by their teacher to the field to collect insects for science class study. The Boys collected 200 insects and the girls collected 300 insects. The teacher decided to divide the class equally into four groups that each get an equal number of insects so that each group could study together. What was the number of insects given to each group?
A: The total number of insects collected is 200 insects + 300 insects = 500 insects. When the teacher divided the class into four groups, each group got 500 insects / 4 groups = 125 insects / group. The answer is 125.
Question: Burt spent $2.00 on a packet of basil seeds and $8.00 on potting soil. The packet of seeds yielded 20 basil plants. He sells each basil plant for $5.00 at the local farmer's market. What is the net profit from his basil plants?
Answer: He spent $2.00 on seeds and $8.00 on soil for a total of 2 + 8 = $10.00. He sells each of the 20 basil plants for $5.00 so he makes 20 * 5 = $100.00. He made $100.00 from selling basil plants and he spent $10.00 to buy and grow the seeds. His net profit is 100 - 10 = $90.00. The answer is 90.
Q: A father is buying sand to fill his son's new sandbox, but he is worried that the sand will be too heavy for his car. The sandbox is square, with each side being 40 inches long. If a 30-pound bag of sand is enough to fill 80 square inches of the sandbox to an adequate depth, how many pounds of sand are needed to fill the box completely?
A:
The sandbox has an area of 40 * 40 = 1600 square inches. To fill this area, 1600 / 80 = 20 bags of sand are needed. Then, the weight of these bags is 20 * 30 = 600 pounds. The answer is 600.