[Question]Michelle had some leftover cans of silly string from her birthday party. She split them among Roger and 3 of his friends. Then Roger decided to give 2 of his cans to his brothers so that he now has 4 for himself. How many cans of silly string did Michelle have to start with?
[Answer]Roger originally had 4 cans of silly string + 2 can he gave to his brothers = 6 cans. Since his friends received the same amount as Roger did originally, 3 friends x 6 cans of silly string = 18 cans. Michelle started with 6 cans that went to Roger + 18 cans that went to his friends = 24 cans of silly string. The answer is 24.
Q: Leila bought a living room set consisting of a sofa worth $1,250, 2 armchairs costing $425 each and a coffee table. The total amount of the invoice is $2,430. What is the price of the coffee table?
A: The price of 2 armchairs is $425 x 2 = $850. Mrs. Dubois will pay $850 for the 2 seats. Thus the Coffee table price is $2,430 – ($1,250 + $850) = $2,430 – $2,100 = $330. The answer is 330.
Question: Jack and Jill went up the hill to fetch water to fill a 600 gallon tank. Each bucket is five gallons. Jack is stronger, and is able to carry two buckets of water at a time, but Jill can only manage one. Also, Jack can complete three trips to the well and back in the time it takes Jill to make two trips. How many trips will Jill make before the tank is filled?
Answer: Jack is able to carry two 5 - gallon buckets of water per trip, or 2 * 5 = 10 gallons of water. Jill can only carry one bucket per trip, or 5 gallons. Jack completes 3 trips to the well and back for every 2 trips Jill completes, so in that time they have both together carried 3 Jack trips * 2 buckets per Jack trip * 5 gallons per bucket + 2 Jill trips * 1 bucket per Jill trip * 5 gallons per bucket = 30 gallons + 10 gallons = 40 gallons of water. If you consider these as a single "group" of trips, it will take 600 gallons / 40 gallons per "group" of trips = 15 groups of trips. As each of these "groups" of trips consists of two Jill trips, Jill will make 15 * 2 = 30 trips to the well and back before the tank is filled. The answer is 30.
[Question]There are 30 students in the general study hall and twice as many students in the biology hall as there are in the general study hall. If the number of students in the math hall is 3/5 times as many as the combined total number of students in the general study hall and the biology hall combined, calculate the total number of students in all the halls combined.
[Answer]The number of students in the biology hall is twice the number of students in the general hall, meaning there are 2 * 30 = 60 students in the biology hall. The total number of students in the biology hall and general study hall is 60 + 30 = 90 students. If there are 3 / 5 times as many students in the maths hall as there are in the general study hall and biology hall, their number is 3 / 5 * 90 = 54 students in the maths hall. The total number of students in the three halls is 54 + 90 = 144 students. The answer is 144.
Q: Yesterday, Sarah collected 50 aluminum cans while Lara collected 30 more aluminum cans. Today, Sarah collected 40 while Lara collected 70 aluminum cans. How many fewer cans did they collect today than yesterday?
A: Yesterday, Lara collected 50 + 30 = 80 aluminum cans. So Sarah and Lara collected a total of 50 + 80 = 130 aluminum cans yesterday. Today, Sarah and Lara collected a total of 40 + 70 = 110 aluminum cans. Thus, they collected 130 - 110 = 20 fewer aluminum cans today than yesterday. The answer is 20.
Question: Two alien spacecraft on a sightseeing tour of Earth left New Orleans airport at 3:00 pm to travel the 448-mile distance to Dallas by air. Traveling nonstop, the first spacecraft landed in Dallas at 3:30 pm, while the second spacecraft landed in Dallas thirty minutes later. Assuming both spacecraft traveled at constant speed, what was the difference in speed, in miles per hour, between the two spacecraft?
Answer:
The first spacecraft flew for 30 minutes, or 30 / 60 = 1 / 2 hour. The second spacecraft flew for 30 + 30 = 60 minutes, or 1 hour. Thus the first spacecraft traveled at a speed of 448 miles in 1 / 2 hour, or 448 / (1 / 2) = 896 miles per hour. The second spacecraft traveled 448 miles in 1 hour, or 448 / 1 = 448 miles per hour. The difference in speed, in miles per hour, between the two spacecraft was 896 - 448 = 448 miles per hour. The answer is 448.