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question:Joe buys 3 oranges, 7 juices, 3 jars of honey, and 4 plants at the market. The fruit costs x each, the juice was 50 cents each, the jars of honey were 5, and the plants were 2 for 18. How much does Joe spend at the market? If we know the answer to the above question is 68, what is the value of unknown variable x?
answer:Joe buys 3 oranges, which cost 3x dollars in total. He buys 7 juices, which cost 7 * 0.50 = 3.50 in total. He buys 3 jars of honey, which cost 3 * 5 = 15 in total. He buys 4 plants, which cost 4 * 9 = 36 in total. The total amount Joe spends at the market is the sum of the costs of the oranges, juices, honey, and plants: 3x + 3.50 + 15 + 36. We are given that the total amount spent is 68, so we can write: 3x + 3.50 + 15 + 36 = 68. Simplifying the left side, we get: 3x + 54.50 = 68. Subtracting 54.50 from both sides, we get: 3x = 13.50. Dividing both sides by 3, we get: x = 4.50. The value of x is 4.50. 4.5 The answer is: 4.5
question:Ron's book club, each member takes turns picking a new book every week. The club consists of three couples, five single people, and Ron along with his wife. How many times in a year does Ron have the opportunity to choose a new book?
answer:In the book club, there are 3 couples, so there are 3 x 2 = 6 people in couples. There are also 5 single people, so in total, there are 6 + 5 + 1 = 12 people in the book club. Since each member takes turns picking a new book every week, Ron will have the opportunity to choose a new book every 12 weeks. In a year, there are 52 weeks, so Ron will have the opportunity to choose a new book 52 / 12 = 4.33 times. Since we can't have a fraction of a book, we round down to the nearest whole number. Therefore, Ron will have the opportunity to choose a new book 4 times in a year. 4 The answer is: 4
question:f Lucille has a revenue of 3000 and needs to divide it in the ratio of 4:11 for employee salaries and stock purchases, respectively, what is the total amount of money she spends on employee salary?
answer:The ratio of 4:11 can be simplified to 4/15:11/15. This means that for every 15 in revenue, 4 will be spent on employee salaries and 11 will be spent on stock purchases. To find out how much is spent on employee salaries, we need to find the fraction of the revenue that represents 4. The fraction representing 4 is 4/15, so we need to multiply this fraction by the total revenue of 3000. 4/15 * 3000 = 800 Therefore, Lucille spends 800 on employee salaries. 800 The answer is: 800
question:A pipe with inside diameter X'' is to carry water from a reservoir to a small town in an arid land. Neglecting the friction and turbulence of the water against the inside of the pipes, The minimum number of 2''-inside-diameter pipes of the same length needed to carry the same volume of water to the arid town is 25. What is the value of unknown variable X?
answer:To solve this problem, we need to determine the value of x, which represents the inside diameter of the pipe in inches. Let's break down the information given: Inside diameter of each pipe: X inches Number of 2''-inside-diameter pipes: 25 We can set up the equation as follows: Volume of water carried by each 2''-inside-diameter pipe * Number of pipes = Volume of water carried by the X''-inside-diameter pipe (2/2)^2 * 25 = (X/2)^2 * 1 1 * 25 = (X/2)^2 25 = (X/2)^2 To solve for X, we take the square root of both sides of the equation: √25 = √(X/2)^2 5 = X/2 To solve for X, we multiply both sides of the equation by 2: 5 * 2 = X 10 = X The value of x is 10. The answer is: 10