[Question]The owner of a company needs to install a transformer to power his electrical equipment. He operates three units of machinery that require a running current of 40A each. These appliances require at least twice their running current for starting, and the transformer chosen must account for this. What is the minimum current load that his transformer of choice must be able to carry?
[Answer]Three units require a running current of 40A each for a total current load of 3 * 40A = 120A. They require twice 120A for starting which is 2 * 120A = 240A which is the minimum current load that the transformer must be able to carry. The answer is 240.
Q: Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did they draw altogether?
A: Peter drew 5 + 3 = 8 pictures. Quincy drew 20 + 8 = 28 pictures. Altogether they drew 5 + 8 + 28 = 41 pictures. The answer is 41.
Question: The mayor commissioned two artists to paint 50 murals around the city. Once the work was completed, Celina was paid $1,000 more than 4 times the amount Diego got. If the mayor paid the two a total of $50,000, how much did Diego get?
Answer: Let d be Diego’s payment. Both artists were paid (1000 + 4 * d ) + d = 50000 dollars. This means that 5d = (50000 - 1000) dollars. Therefore Diego was paid d = 49000 / 5 = 9800 dollars. The answer is 9800.
[Question]Casey takes 6 hours to complete a marathon race, while Zendaya takes 1/3 times longer to cover the same distance. What is the average time the two take to complete to race?
[Answer]Zendaya takes 1 / 3 * 6 hours = 2 hours longer to complete the marathon. To complete the marathon, Zendaya takes 6 hours + 2 hours = 8 hours. The combined time the two take to complete the marathon is 8 hours + 6 hours = 14 hours. The average number of hours Casey and Zendaya take to complete the marathon is 14 hours / 2 people = 7 hours / person. The answer is 7.
Q: James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
A: The next 100 channels cost 100 / 2 = $50. So the total cost is 100 + 50 = $150. So he pays 150 / 2 = $75. The answer is 75.
Question: When Harriett vacuumed the sofa and chair she found 10 quarters, 3 dimes, 3 nickels, and 5 pennies. How much money did Harriett find?
Answer:
She found 10 quarters that are $0.25 each so she found 10 * .25 = $2.50. She found 3 dimes that are $0.10 each so she found 3 * .10 = $0.30. She found 3 nickels that are $0.05 each so she found 3 * .05 = $0.15. She found 5 pennies that are $0.01 each so she found 5 * .01 = $0.05. All total she found 2.50 + .30 + .15 + .05 = $3.00 in change. The answer is 3.