[Question]Kendra made 4 more than five times as many decorated buttons as Mari. Sue made half as many as Kendra. Mari made 8 buttons. How many did Sue make?
[Answer]Kendra made 4 + 5 * 8 = 44. Sue made 44 / 2 = 22. The answer is 22.
Q: An airplane was flying from California to Virginia. The flight started with 124 passengers. They made a layover in Texas. 58 passengers got off and 24 got on. From there, they flew to North Carolina, where 47 people got off and 14 got on, before flying to Virginia. There were also a total of 10 crew members on board for the entire flight. How many people landed in Virginia?
A: They started with 124 passengers. 58 got off and 24 got on so 124 - 58 + 24 = 90. 90 people flew to NC where 47 passengers got off and 14 got on. This flight now had 90 - 47 + 14 = 57. There were also 10 crew members so 57 + 10 = 67 passengers landed in Virginia. The answer is 67.
Question: Martha needs to paint all four walls in her 12 foot by 16 foot kitchen, which has 10 foot high ceilings. Each wall needs one coat of primer and two coats of paint. If Martha can paint 40 square feet per hour, how many hours will it take her to paint the kitchen?
Answer: There are two walls that are 12' X 10' and two walls that are 16' by 10'. First find the size in square feet of one 12' x 10' wall by multiplying the height and length: 12 ft * 10 ft = 120 sq ft. Multiply that quantity by 2 since there are two 12' x 10' walls: 120 sq ft * 2 = 240 sq ft. Then find the size in square feet of one 16' x 10' wall by multiplying the height and length: 16 ft * 10 ft = 160 sq ft. Multiply that quantity by 2 since there are two 16' x 10' walls: 160 sq ft * 2 = 320 sq ft. Now add the square footage of both sets of walls to find the total square footage Martha needs to paint: 240 sq ft + 320 sq ft = 560 sq ft. Now multiply that amount by 3 because Martha needs to add 3 coats: 560 sq ft / coat * 3 coats = 1680 sq ft. Finally, divide the total square footage by Martha's painting rate to find how many hours she needs to finish: 1680 sq ft / 40 sq ft / hour = 42 hours. The answer is 42.
[Question]A highway is being extended from its current length of 200 miles up to 650 miles. 50 miles are built on the first day, and three times this amount are built on the second day. How many miles still need to be added to the highway to finish extending it?
[Answer]The length of the highway that needs to be constructed is 650 200 = 450 miles. After the first day, there are still 450 50 = 400 miles that need to be constructed. On the second day, 50 miles * 3 = 150 miles are added to the highway. This means that 400 150 = 250 miles still need to be added to the highway. The answer is 250.
Q: Lucca has 100 balls and 10 percent of his balls are basketballs. Lucien has 200 balls and 20 percent of them are basketballs. In total how many basketballs do Lucca and Lucien have?
A: Lucca has 100 basketballs x (10 / 100) = 10 basketballs. Lucien has 200 basketballs x (20 / 100) = 40 basketballs. Together they have 10 basketballs + 40 basketballs = 50 basketballs. The answer is 50.
Question: If Ken's house is twice as far from Dawn's house as Mary's house along a certain road, and Ken's house is 4 miles away from Dawn's house along this same road, how much distance (in miles) will Ken cover if he goes from his house to Dawn's house, then Mary's, then back to Dawn's before going back to his own house?
Answer:
Ken's house is twice as far from Dawn's house as Mary's, so the distance between Ken's and Mary's is half that between Ken's and Dawn's (4 miles) which means the former is (1 / 2) * 4 miles = 2 miles. If Ken goes from his house to Dawn's, he has covered 4 miles. He goes from there to Mary's (2 miles, same as Ken's to Mary's) for a total of 4 + 2 = 6 miles. He goes back to Dawn's (another 2 miles) for a total of 6 + 2 = 8 miles. Then he goes to his own house (4 miles) for a final total of 8 + 4 = 12 miles. The answer is 12.