Q: An apartment complex has 4 identical buildings. Each building has 10 studio apartments, 20 2 person apartments, and 5 4 person apartments. How many people live in the apartment complex if it has 75% of its maximum occupancy?
A: First, we find out how many people live in each building. In addition to 10 1 person apartments, as a studio apartment is for a single person, there are 20 2 person apartments meaning there are 20 * 2 = 40 people capable of living there. We then find out how many people can live in the 4 person apartments by multiplying the number of available 4 person apartments by 4, performing 5 * 4 = 20 people capable of living there. So, in 1 building there is room for 10 + 40 + 20 = 70 people. We multiply this by the 4 buildings in total, finding a maximum occupancy of 4 * 70 = 280 people. We then multiply this by .75 to find out how many people would live there at 75% of maximum occupancy, performing 280 * .75 = 210 people. The answer is 210.
Question: Ken, Dave, and Jerry played shuffleboard against one another while together vacationing in Florida. Ken won 5 more games than Dave, and Dave won 3 more games than Jerry. If Jerry won 7 games, what was the total number of games they played?
Answer: If Dave won 3 more games than Jerry, and Jerry won 7 games, then Dave won 10 games. If Ken won 5 more games than Dave, and Dave won 10 games, then Ken won 10 + 5 = 15 games. In total, the three friends played 7 + 10 + 15 = 32 games. The answer is 32.
[Question]There is a square playground that has a side length of 12 meters. There is a maintenance building on the playground that measures 8 meters by 5 meters. How many square meters of the playground is not covered by the maintenance building?
[Answer]12 * 12 = 144 square meters. 8 * 5 = 40 square meters. 144 - 40 = 104 square meters. 104 square meters of the playground are not covered by the maintenance building. The answer is 104.
Q: Trevor and two of his neighborhood friends go to the toy shop every year to buy toys. Trevor always spends $20 more than his friend Reed on toys, and Reed spends 2 times as much money as their friend Quinn on the toys. If Trevor spends $80 every year to buy his toys, calculate how much money in total the three spend in 4 years.
A: If Trevor spends $20 more than Reed every year to buy toys, Reed spends $80 - $20 = $60. Since Reed uses $60 every year to buy toys, his friend Quinn uses 60 / 2 = $30 every year to buy toys. The total amount of money the three spend in a year together to buy toys is $30 + $60 + $80 = $170. The total amount of money the three will use to buy toys in 4 years is $170 * 4 = $680. The answer is 680.
Question: Mr. Reyansh has a dairy farm with 40 cows. Each cow on the farm drinks 80 liters of water daily. He also has a sheep ranch with 10 times the number of cows, with each sheep drinking 1/4 times as much water as a cow does. How many liters of water does Mr. Reyansh use to water all of his animals in a week?
Answer: If a cow drinks 80 liters of water in a day, it drinks 80 * 7 = 560 liters of water per week. Mr. Reyansh has 40 cows drinking 560 liters of water a week, totaling 560 * 40 = 22400 liters. In the ranch, a sheep drinks 1 / 4 * 80 = 20 liters of water in a day. The total amount of liters a sheep drinks in a week is 20 * 7 = 140 liters. Mr. Reyansh has ten times as many sheep as cows, that is 10 * 40 = 400 sheep. If each sheep drinks 140 liters of water in a week, 400 sheep drinks 400 * 140 = 56000 liters of water. Together, the cows and sheep drink 56000 + 22400 = 78400 liters of water per week. The answer is 78400.
Q: Matt did his homework for 150 minutes. He spent 30% of that time on math and 40% on science. He spent the remaining time on other subjects. How much time did Matt spend on homework in other subjects?
A:
Matt spent on math and science 30% + 40% = 70% of the time. This means he did homework from these two subjects for 70 / 100 * 150 minutes = 105 minutes. So Matt spent 150 minutes - 105 minutes = 45 minutes doing homework from other subjects. The answer is 45.