Appearance
question:2004, there were some kids at a cookout. In 2005, x% 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, 60 kids came to the cookout in 2004. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the percentage decrease in the number of kids from 2004 to 2005. Let's break down the information given: Number of kids in 2004: 60 Number of kids in 2005: x% of the number of kids in 2004 Number of kids in 2006: 2/3 of the number of kids in 2005 Number of kids in 2006: 20 We can set up the equation as follows: Number of kids in 2005 = (x/100) * Number of kids in 2004 Number of kids in 2006 = (2/3) * Number of kids in 2005 Number of kids in 2006 = 20 Let's substitute the values and solve for x: (2/3) * ((x/100) * 60) = 20 Let's simplify and solve for x: (2/3) * (x/100) * 60 = 20 (2/3) * (x/100) = 20 / 60 (2/3) * (x/100) = 1/3 To isolate x, we multiply both sides of the equation by 100/2: ((2/3) * (x/100)) * (100/2) = (1/3) * (100/2) x = 50 The value of x is 50. 50 The answer is: 50
question:There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of x gnomes on the street, how many gnomes does the fifth house have? If we know the answer to the above question is 8, what is the value of unknown variable x?
answer:We know that each of the first four houses has 3 gnomes in the garden, so the total number of gnomes in the first four houses is 4 * 3 = 12 gnomes. If there are a total of x gnomes on the street, then the number of gnomes in the fifth house is x - 12. We are given that the number of gnomes in the fifth house is 8, so we can write: x - 12 = 8. Solving for x, we get: x = 20. The value of x is 20. 20 The answer is: 20
question:Sam is hired for a 20-day period. On days that he works, he earns X. For each day that he does not work, 30 is subtracted from his earnings. At the end of the 20-day period, he received 660. He did not work for 6 days. What is the value of unknown variable X?
answer:To solve this problem, we need to determine the value of x, which represents the amount Sam earns on days that he works. We know that Sam worked for 20 days and did not work for 6 days. Therefore, he worked for 20 - 6 = 14 days. Let's set up the equation to represent Sam's earnings: Earnings for days worked - Earnings for days not worked = Total earnings 14x - 6 * 30 = 660 Let's simplify and solve for x: 14x - 180 = 660 To isolate x, we add 180 to both sides of the equation: 14x - 180 + 180 = 660 + 180 14x = 840 To solve for x, we divide both sides of the equation by 14: x = 840 / 14 x = 60 The value of x is 60. The answer is: 60
question:Maximoff's monthly bill is 60 per month. His monthly bill increased by thirty percent when he started working at home. How much is his total monthly bill working from home?
answer:His monthly bill increased by 30% which means it increased by 30/100 * 60 = 18 So, his total monthly bill working from home is 60 + 18 = 78 78 The answer is: 78