Appearance
question:Jill sells girl scout cookies. This year, she wants to sell at least x cookie boxes. Her first customer buys 5 boxes, Her second one buys 4 times more than her first customer. Her third customer buys half as much as her second. The fourth customer buys 3 times as much as her third. Lastly, her final customer buys 10. Jill has 75 boxes left to sell to hit her sales goal. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the minimum number of cookie boxes that Jill wants to sell. Let's break down the information given: Number of boxes sold to the first customer: 5 Number of boxes sold to the second customer: 4 * (number of boxes sold to the first customer) Number of boxes sold to the third customer: 1/2 * (number of boxes sold to the second customer) Number of boxes sold to the fourth customer: 3 * (number of boxes sold to the third customer) Number of boxes sold to the final customer: 10 Number of boxes left to sell to hit the sales goal: 75 We can set up the equation as follows: Number of boxes sold to the first customer + Number of boxes sold to the second customer + Number of boxes sold to the third customer + Number of boxes sold to the fourth customer + Number of boxes sold to the final customer + Number of boxes left to sell = Sales goal 5 + 4 * 5 + 1/2 * (4 * 5) + 3 * (1/2 * (4 * 5)) + 10 + 75 = x Let's simplify and solve for x: 5 + 20 + 1/2 * 20 + 3 * (1/2 * 20) + 10 + 75 = x 5 + 20 + 10 + 3 * 10 + 10 + 75 = x 5 + 20 + 10 + 30 + 10 + 75 = x 150 = x The value of x is 150. 150 The answer is: 150
question:There are 30 major league baseball stadiums. Zach has a goal to take his son to see at least one game at each one. He has calculated the average cost for them to travel and see a game will be x per stadium. Zach can save 1,500 per year for his baseball stadium trips. It will take Zach 18 years to accomplish his goal. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the average cost per stadium for Zach and his son to travel and see a game. We know that Zach can save 1,500 per year for his baseball stadium trips, and it will take him 18 years to accomplish his goal of visiting all 30 stadiums. We can set up the equation as follows: Total savings = Average cost per stadium * Number of stadiums 1,500 * 18 = x * 30 Let's simplify and solve for x: 27,000 = 30x To isolate x, we divide both sides of the equation by 30: 27,000 / 30 = x 900 = x The value of x is 900. 900 The answer is: 900
question:Three positive integers have a sum of X and are in the ratio 1:3:4. What is the least of these three integers? If we know the answer to the above question is 9, what is the value of unknown variable X?
answer:We want to find the value of X in the given situation. We are given that the three positive integers have a sum of X and are in the ratio 1:3:4. Let's call the three integers a, b, and c. According to the given ratio, we can write: a : b : c = 1 : 3 : 4 We can represent this ratio as: a = frac{1}{8}X b = frac{3}{8}X c = frac{4}{8}X To find the least of these three integers, we need to determine the value of X. The least integer is a, which is frac{1}{8}X. Given that the value of a is 9, we can set up the equation: 9 = frac{1}{8}X Multiplying both sides of the equation by 8 to eliminate the fraction, we get: 72 = X The value of X is 72. The answer is: 72
question:Maria goes to the coffee shop 2 times a day. Every time she goes to the coffee shop, she orders x cups of coffee. How many cups of coffee does she order per day? If we know the answer to the above question is 6, what is the value of unknown variable x?
answer:Maria goes to the coffee shop 2 times a day. Every time she goes to the coffee shop, she orders x cups of coffee. So, the total number of cups of coffee she orders per day is 2x. We are given that the total number of cups of coffee she orders per day is 6, so we can write: 2x = 6. Solving for x, we get: x = 3. The value of x is 3. 3 The answer is: 3