Question: A party hall has 3 decorative light bulbs; a red light bulb which comes on every 2 seconds, a green one every 3 seconds and a blue one every 4 seconds. If they are put on at the same time, what is the shortest time after which the three bulbs will be on at the same time?
Answer: Step-by-step reasoning process: The blue light bulb comes on every 2 seconds so it will be on after 2, 4, 6, 8, 10, 12, 14... seconds (multiples of 2). The red light bulb comes on every 3 seconds so it will be on after 3, 6, 9, 12, 15, 18... seconds (multiples of 3). The blue light bulb comes on every 4 seconds so it will be on after 4, 8, 12, 16, 20... seconds (multiples of 4). The shortest time after which all three will be on is 12 seconds which is the least common multiple of the set of multiples.
So the answer is 12.

Question: Miranda is stuffing feather pillows. She needs two pounds of feathers for each pillow. A pound of goose feathers is approximately 300 feathers. Her goose has approximately 3600 feathers. How many pillows can she stuff after she plucks the goose?
Answer: Step-by-step reasoning process: Miranda will have 3600 / 300 = 12 pounds of feathers from her goose. Thus, Miranda can stuff about 12 / 2 = 6 feather pillows after she plucks the goose.
So the answer is 6.

Question: Gina is participating in a neighborhood clean-up filling bags with litter. She was able to collect two bags of litter herself. The rest of the neighborhood together collected 82 times as much as Gina did by herself. Each bag of litter weighs 4 pounds. How many pounds was all the litter they collected?
Answer: Step-by-step reasoning process: The rest of the neighborhood collected 82 * 2 = 164 bags of litter. With Gina’s bags, they had 164 + 2 = 166 bags of litter. Thus, the litter weighed 166 * 4 = 664 pounds.
So the answer is 664.

Question: Tom decides to open a theater. He knows it will cost $5 per square foot of space that he needs and he needs 12 square feet for every seat in his theater. He wants a 500 seat theater. He also realizes construction will cost twice as much as the land. He has a partner who covers 40% of the cost. How much does Tom spend?
Answer:
Step-by-step reasoning process: He needs 500 * 12 = 6000 square feet. This means it cost $5 * 6000 = $30,000. That means construction comes to $30000 * 2 = $60,000. So the total cost is $60000 + $30000 = $90,000. His partner covers $90,000 * .4 = $36,000. So he has to pay $90,000 - $36,000 = $54,000.
So the answer is 54000.