Q: Raj's house has an area equal to 1,110 square feet. It has 4 bedrooms that each measure 11 x 11 feet. There are 2 bathrooms that are 6 x 8 feet each. The kitchen and living area complete the home and they have the same sized area. How many square feet is the area of the kitchen?
A: Area of 1 bedroom = 11 * 11 = 121 square feet. Area of 4 bedrooms = 121 * 4 = 484 square feet. Area of 1 bathroom = 6 * 8 = 48 square feet. Area of 2 bathrooms = 2 * 48 = 96 square feet. Area of all bedrooms and bathrooms = 484 + 96 = 580 square feet. Kitchen + living room = 1,110 - 580 = 530. Kitchen = 530 / 2 = 265. The kitchen is 265 square feet. The answer is 265.
Question: In one of the teacher's meetings, it was agreed that each class will contribute $90 for a school activity. The class of Miss Evans has $14 class funds and they decided to use it to lessen the contribution of each student. If the remaining amount will be divided among 19 students, how much will each student contribute?
Answer: The 19 students will divide equally the remaining $90 - $14 = $76. So, each student will contribute $76 / 19 students = $4 / student. The answer is 4.
[Question]A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours?
[Answer]It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters – 90 liters = 90 liters of water left in the pool. The answer is 90.
Q: During the most recent voyage of the Starship Conundrum, the spacecraft traveled from Planet X to Planet Y in eight hours less than twice the number of hours in a typical earth day. If the distance between these two planets is 4,000 parsecs, what was the average speed, in parsecs per hour, of the Starship Conundrum during this most recent voyage?
A: Twice the number of hours in a typical earth day is 24 * 2 = 48 hours. Eight hours less than twice the number of hours in a typical earth day is 48 - 8 = 40 hours. If the distance between these two planets is 4,000 parsecs, then the average speed on this voyage was 4000 / 40 = 100 parsecs per hour. The answer is 100.
Question: There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals?
Answer: First find the number of students who went through breakups: 1 / 4 * 180 = 45 students. Then subtract that number from the total number: 180 students - 45 students = 135 students. Then divide that number by 3 to find the number of students who didn't show up to take the test: 135 students / 3 = 45 students. Then subtract the number of students who failed in each way from the total number to find the number who passed: 180 students - 45 students - 45 students - 20 students = 70 students. The answer is 70.
Q: Marla is planning the lunch menu for an elementary school. There are 5 third grade classes with 30 students each, 4 fourth grade classes with 28 students each, and 4 fifth grade classes with 27 students each. Each student gets a hamburger, which costs $2.10, some carrots, which cost $0.50, and a cookie, which cost $0.20. How much does one lunch for all the students cost?
A:
First find the total number of students in third grade 5 classes * 30 students / class = 150 students. Then find the total number of students in fourth grade 4 classes * 28 students / class = 112 students. Then find the total number of student in fifth grade 4 classes * 27 students / class = 108 students. Now add the number of students in each grade to find the total number of students 150 students + 112 students + 108 students = 370 students. Now find the total cost of one lunch $2.10 + $0.50 + $0.20 = $2.80. Now multiply that cost by the number of students to find the total cost for the school $2.80 / student * 370 students = $1036. The answer is 1036.