[Question]A father is buying sand to fill his son's new sandbox, but he is worried that the sand will be too heavy for his car. The sandbox is square, with each side being 40 inches long. If a 30-pound bag of sand is enough to fill 80 square inches of the sandbox to an adequate depth, how many pounds of sand are needed to fill the box completely?
[Answer]The sandbox has an area of 40 * 40 = 1600 square inches. To fill this area, 1600 / 80 = 20 bags of sand are needed. Then, the weight of these bags is 20 * 30 = 600 pounds. The answer is 600.
Q: Nurse Missy is attending to the needs of 12 patients in her hospital ward. Most of her patients require standard care, but one-third of her patients have special dietary requirements, which increases the serving time by 20%. At dinner time, she brings each patient their meal. It takes 5 minutes to serve each standard care patient. How long does it take, in minutes, for Missy to serve dinner to all of her patients?
A: Nurse Missy has 12 * (1 / 3) = 4 special needs patients. She has 12 - 4 = 8 standard care patients. Special needs patients take 20% longer to serve, which means serving takes 1.2 * 5 = 6 minutes per patient. To serve dinner to all of her standard care patients, it will take 5 * 8 = 40 minutes. To serve dinner to all of her special needs patients, it will take 6 * 4 = 24 minutes. In total, it will take 40 + 24 = 64 minutes to serve dinner to all of her patients. The answer is 64.
Question: John assembles computers and sells prebuilt computers as a business. The parts for the computer cost $800. He sells the computers for 1.4 times the value of the components. He manages to build 60 computers a month. He has to pay $5000 a month in rent and another $3000 in non-rent extra expenses a month. How much profit does he make a month?
Answer: He sells each computer for 1.4 * 800 = $1120. That means he makes a profit of 1120 - 800 = $320 per computer. So he makes 320 * 60 = $19200 from selling computers. He has extra expenses of 5000 + 3000 = $8000 a month. So his profit is 19200 - 8000 = $11,200. The answer is 11200.
[Question]A portable computer drive has enough kilobytes of storage space to store 2000 photos. Each photo is 1.5 kilobytes in size. How many 200-kilobyte videos can it store if it already has 400 photos on it?
[Answer]The drive has 1.5 * 2000 = 3000 kilobytes of storage space. It already has 1.5 * 400 = 600 kilobytes of storage space taken up. Thus, it has 3000 - 600 = 2400 kilobytes of space left. The portable drive can store 2400 / 200 = 12 200 - kilobyte videos on it with 400 photos. The answer is 12.
Q: Tim's car goes down in value by $1000 a year. He bought it for $20,000. How much is it worth after 6 years?
A: It went down in value 1000 * 6 = $6000. So the car is worth 20000 - 6000 = $14,000. The answer is 14000.
Question: A house’s living room, dining room and kitchen take up 1,000 sq ft. The house also has a guest bedroom and a master bedroom suite. If the guest bedroom is a quarter of the size of the master bedroom suite, and the house is 2,300 sq ft total, how large is the master bedroom suite?
Answer:
The house is 2,300 sq ft and we know the non - bedroom sections take up 1,000 sq ft, so that leaves 2300 - 1000 = 1,300 sq ft for the bedrooms / bathrooms. Let x be the size of the master bedroom suite. Then the guest bedroom is 0.25x. So together the bedrooms are x + 0.25x = 1.25x in size. This means 1.25x = 1300. So x = 1300 / 1.25 = 1040 sq ft. The answer is 1040.