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question:When all her clothes are washed and in her closet, Brie has 12 blouses, 6 skirts, and 8 slacks. Today in her hamper, she has 75% of her blouses, 50% of her skirts, and x% of her slacks. She will need to put 14 pieces of clothing in the washer. 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 of slacks that Brie has in her hamper. Let's break down the information given: Number of blouses: 12 Number of skirts: 6 Number of slacks: 8 Percentage of blouses in the hamper: 75% Percentage of skirts in the hamper: 50% Percentage of slacks in the hamper: x% Number of pieces of clothing to be washed: 14 We can set up the equation as follows: (Number of blouses * Percentage of blouses in the hamper) + (Number of skirts * Percentage of skirts in the hamper) + (Number of slacks * Percentage of slacks in the hamper) = Number of pieces of clothing to be washed (12 * 0.75) + (6 * 0.50) + (8 * (x/100)) = 14 Let's simplify and solve for x: 9 + 3 + (8 * (x/100)) = 14 12 + (8 * (x/100)) = 14 To isolate x, we subtract 12 from both sides of the equation: 12 + (8 * (x/100)) - 12 = 14 - 12 8 * (x/100) = 2 To solve for x, we multiply both sides of the equation by 100/8: 8 * (x/100) * (100/8) = 2 * (100/8) x = 25 The value of x is 25. 25 The answer is: 25
question:Nancy carves statues out of jade. A giraffe statue takes 120 grams of jade and sells for 150. An elephant statue takes twice as much jade and sells for 350. If Nancy has 1920 grams of jade, how much more money will she make turning it all into elephants instead of giraffes?
answer:If a giraffe statue takes 120 grams of jade, then Nancy can make 1920/120 = 16 giraffe statues. If each giraffe statue sells for 150, then Nancy will make a total of 16 * 150 = 2400 from selling all the giraffe statues. An elephant statue takes twice as much jade as a giraffe statue, so it takes 120 * 2 = 240 grams of jade. If Nancy has 1920 grams of jade, she can make 1920/240 = 8 elephant statues. If each elephant statue sells for 350, then Nancy will make a total of 8 * 350 = 2800 from selling all the elephant statues. The difference in money she will make turning all the jade into elephants instead of giraffes is 2800 - 2400 = 400. 400 The answer is: 400
question:Ursula earns x an hour working in a restaurant. She works 8 hours a day. If she works 20 days a month, determine her annual salary. The answer is 16320. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents Ursula's hourly wage. Let's break down the information given: Ursula works 8 hours a day. Ursula works 20 days a month. Ursula's annual salary is 16320. We can set up the equation as follows: Hourly wage * Hours worked per day * Days worked per month * Months in a year = Annual salary x * 8 * 20 * 12 = 16320 Let's simplify and solve for x: 8 * 20 * 12 * x = 16320 1920x = 16320 To isolate x, we divide both sides of the equation by 1920: 1920x / 1920 = 16320 / 1920 x = 8.5 The value of x is 8.5. 8.5 The answer is: 8.5
question:Leo has to write a 400-word story for his literature class. 10 words fit on each line of his notebook and x lines fit on each page. Lucas has filled one and a half pages. How many words does he have left to write? If we know the answer to the above question is 100, what is the value of unknown variable x?
answer:We know that 10 words fit on each line of Leo's notebook and x lines fit on each page. So, the number of words on each page is 10 * x = 10x. Lucas has filled one and a half pages, which means he has written 1.5 * 10x = 15x words. The total number of words Leo has left to write is 400 - 15x. We are given that the number of words left to write is 100, so we can write: 400 - 15x = 100. Solving for x, we get: x = 20. The value of x is 20. 20 The answer is: 20