[Question]In 2004, there were some kids at a cookout. In 2005, half the number of kids came to the cookout as compared to 2004. In 2006, 2/3 as many kids came to the cookout as in 2005. If there were 20 kids at the cookout in 2006, how many kids came to the cookout in 2004?
[Answer]In 2005, 20 / 2 * 3 = 30 kids came to the cookout. In 2004, 30 * 2 = 60 kids came to the cookout. The answer is 60.
Q: Josiah is three times as old as Hans. Hans is 15 years old now. In three years, what is the sum of the ages of Josiah and Hans?
A: Josiah is 15 x 3 = 45 years old now. In three years, Josiah will be 45 + 3 = 48 years old. Hans will be 15 + 3 = 18 years old in three years. So, the sum of their ages in three years is 48 + 18 = 66 years old. The answer is 66.
Question: A global gym decides to replace all of its cardio machines. They have 20 gyms. Each gym has 10 bikes, 5 treadmills, and 5 elliptical machines. The bikes cost $700 each. The treadmills cost 50% more than that. The elliptical machines are twice as expensive as the treadmills. How much does it cost to replace everything?
Answer: The gym needs to buy 20 * 10 = 200 bikes. 20 * 5 = 100 each of treadmills and ellipticals. So the bikes cost 200 * 700 = $140,000. The treadmills cost 700 * 1.5 = $1,050 each. So they cost a total of 1050 * 100 = $105,000. The ellipticals each cost 1050 * 2 = $2100. So in total the ellipticals cost 2100 * 100 = $210,000. So the total cost of everything is 140,000 + 105,000 + 210,000 = $455,000. The answer is 455000.
[Question]Joan has 180 socks. Two thirds of the socks are white, and the rest of the socks are blue. How many blue socks does Joan have?
[Answer]Joan has (180 / 3) * 2 = 120 white socks. The number of blue socks Joan has is 180 - 120 = 60. The answer is 60.
Q: Tiffany is looking at a lake full of turtles. The turtles are 60% female and the rest are male. Of the males, 1 in 4 has stripes. Of the ones with stripes, 4 are babies, while 60% are adults How many turtles are in the lake?
A: Of the males with stripes, 40% are babies because 100 - 60 = 40. There are 10 males with stripes because 4 / .4 = 10. There are 40 males because 10 / (1 / 4) = 40. Males make up 40% of the pond's total, because 100 - 60 = 40. There are 100 turtles in total 40 / .4 = 100. The answer is 100.
Question: John gets his pool cleaned every 3 days. It cost $150 each time and he gives the guy a 10% tip each time he comes to clean. Then twice a month he needs to use $200 of chemicals. How much does his pool cost a month?
Answer:
He gets his pool cleaned 30 / 3 = 10 times a month. Each time he gets it cleaned he tips 150 * .1 = $15. So he pays 150 + 15 = $165. So he pays 165 * 10 = $1650 a month on cleaning. The chemicals cost 200 * 2 = $400. So in total, he pays 1650 + 400 = $2050. The answer is 2050.