[Question]A small airplane can seat 10 people in first class, 30 in business class, and 50 in economy class seating. If economy class is half full, and business class and first class have the same number of people together as economy class, how many seats are unoccupied in business class if only three people on the flight have first class seats?
[Answer]There are 50 / 2 = 25 people in economy class. There are 25 people in business first and business class, so there are 25 - 3 = 22 in business class. Thus, there are 30 - 22 = 8 unoccupied seats in business class. The answer is 8.
Q: Mary and Jay are planning a wedding. Of the 240 guests, 60 percent are female. Of the females, 50 percent are from Jay's family. How many female guests are from Jay's family?
A: Females:240(.60) = 144. Females on Jays side: 144(.50) = 72. The answer is 72.
Question: James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
Answer: He gains 120 * .2 = 24 kg in muscles. So he gains 24 / 4 = 6 kg of fat. That means he gains a total of 24 + 6 = 30 kg of bodyweight. So his new body weight is 120 + 30 = 150 kg. The answer is 150.
[Question]A coal-powered train is traveling towards a faraway city when the conductor realizes that he forgot to restock the train's coal supply at the last station. The train is traveling on a one-way track, so the conductor has no other option but to continue moving forward towards the city. The train can travel 5 miles for every 2 pounds of coal that it consumes. If the train has 160 pounds of coal remaining, how far can the train travel before it runs out of fuel?
[Answer]The train travels 5 miles per every 2 pounds, or 5 / 2 = 2.5 miles per pound of coal. Therefore, the 160 pounds of coal that remain are enough for the train to travel 160 * 2.5 = 400 miles. The answer is 400.
Q: Due to a drought, Jerry's household can only use 1000 gallons of water during July. Jerry uses 100 gallons for drinking and cooking and 20 gallons per shower. He wants to fill his pool, which measures 10 feet by 10 feet by 6 feet. If each gallon of water fills 1 cubic foot of the pool, how many showers can Jerry take in July?
A: First find the total volume of the pool: 10 feet * 10 feet * 6 feet = 600 cubic feet. This is also the number of gallons he needs to fill the pool. Subtract the pool water and the drinking and cooking water from the total amount of water Jerry is allowed to use: 1000 gallons - 600 gallons - 100 gallons = 300 gallons. Then divide the amount of water Jerry has left to use for showers by the amount of water per shower to find how many showers he can take: 300 gallons / 20 gallons / shower = 15 showers. The answer is 15.
Question: Miley bought two cellphones for her parents. Each cellphone costs $800 but, since she is buying two units, she will receive a 5% discount for the total cost. How much did Miley pay?
Answer:
Two cellphones cost $800 x 2 = $1600. The 5% discount amounts to $1600 x 5 / 100 = $80. So Miley paid $1600 - $80 = $1520. The answer is 1520.