Question: Haley is getting ready to watch a comet fly over her house. She spends two hours shopping for a telescope, half an hour getting everything set up in the backyard, three times the setup time making snacks, and 20 minutes watching the comet. What percentage of the total time she spent on all those activities was spent watching the comet, rounded to the nearest percent?
Answer: First convert Haley's shopping time to minutes: 2 hours * 60 minutes / hour = 120 minutes. Then convert Haley's setup time to minutes: .5 hours * 60 minutes / hour = 30 minutes. Then find the total time she spends making a snack: 3 * 30 minutes = 90 minutes. Then add the time she spends on each activity to find the total time: 120 minutes + 30 minutes + 90 minutes = 240 minutes. Then divide the time she spends watching the comet by the total time and multiply by 100% to express the answer as a percentage: 20 minutes / 240 minutes = 8.333...%, which rounds down to 8%. The answer is 8.
[Question]The difference between the price of an orange and the price of a pear equals the price of a banana. If the total cost of an orange and a pear is $120 and a pear costs $90, calculate the total price of buying 200 bananas and twice as many oranges as bananas.
[Answer]If the total cost of an orange and a pear is $120, and a pear costs $90, an orange costs $120 - $90 = $30. Since the difference between the price of an orange and a pear is the price of a banana, a banana is sold at $90 - $30 = $60. To buy 200 bananas, you'll pay $60 * 200 = $12000. When you twice as many oranges as bananas, you buy 2 * 200 = 400 oranges. The total cost of buying 400 oranges is 400 * 30 = $12000. The total price of buying 200 bananas and twice as many oranges as bananas is $12000 + $12000 = $24000. The answer is 24000.
Q: A YouTube video is 100 hours long. Lila decides to watch it at two times the average speed. Roger, her friend, also watch the same video at the average speed. If they both watched six of the same videos, what's the total number of hours they watched?
A: When Lila watches the video at twice the normal speed, the video takes 100 / 2 = 50 hours. When she watches six such videos, the total number of video hours becomes 50 * 6 = 300 hours. Roger, her friend, watches 6 videos at the normal speed, which is 6 * 100 = 600 video hours. The total number of hours watched by the two is 600 + 300 = 900 hours. The answer is 900.
Question: John has a large water collection tank. The tank can hold 200 gallons. It weighs 80 pounds empty. A rainstorm fills it to 80% of capacity. If a gallon of water weighs 8 pounds, how much does it weigh now?
Answer: The tank has 200 * .8 = 160 gallons of water in it. That water weighs 160 * 8 = 1280 pounds. So in total it weighs 1280 + 80 = 1360 pounds. The answer is 1360.
[Question]How many legs does a spider have if it has two times more than double the number of legs a human has?
[Answer]Since humans have two legs, we start by finding out what double that amount is by performing 2 * 2 = 4. Spiders have twice that number, so we multiply 4 * 2 to find 8 legs in total. The answer is 8.
[Question]Javier is an Olympic javelin thrower. In the last Olympics, he threw the javelin three times. The first throw, he threw the javelin twice as far as he threw the javelin on his second throw, but only half as far as he threw it the third throw. If the sum of all three throws was 1050 meters, then how far, in meters, did he throw the javelin on his first throw?
[Answer]
Let x be the distance he threw the javelin on the first throw. Thus, the sum of his three throws is x + 0.5x + 2x = 1050 meters. Thus, 3.5x = 1050. And we find the distance he threw the javelin on the first throw is x = 300 meters. The answer is 300.