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question:A farmer living in the countryside has a certain number of children. One day, they followed him to the farm, each one with a bag to collect harvested apples. At the end of the day, each bag was filled with 15 apples each. On their way back home, 2 of the children have eaten x apples each and another child sold 7 of his apples. If they had a total of 60 apples left by the time they got home, The farmer has 5 children. 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 number of apples eaten by each child. We know that each child filled their bag with 15 apples and that there were a total of 60 apples left after they ate and sold some. Let's break down the information given: Number of children: 5 Number of apples in each bag: 15 Number of apples eaten by 2 children: 2x Number of apples sold by 1 child: 7 Total number of apples left: 60 We can set up the equation as follows: (Number of children * Number of apples in each bag) - (Number of apples eaten by 2 children + Number of apples sold by 1 child) = Total number of apples left (5 * 15) - (2x + 7) = 60 Let's simplify and solve for x: 75 - (2x + 7) = 60 75 - 2x - 7 = 60 To isolate x, we subtract 75 from both sides of the equation: 75 - 2x - 7 - 75 = 60 - 75 -2x - 7 = -15 To solve for x, we add 7 to both sides of the equation: -2x - 7 + 7 = -15 + 7 -2x = -8 Finally, we divide both sides of the equation by -2 to solve for x: x = -8 / -2 x = 4 The value of x is 4. 4 The answer is: 4
question:Princeton had a gender reveal party and invited all of his fellow employees to celebrate with him. If the total number of guests were x, and 2/3 were male guests, how many female guests attended the party? If we know the answer to the above question is 20, what is the value of unknown variable x?
answer:We know that 2/3 of the guests were male, which means 1/3 of the guests were female. Let's represent the total number of guests as x. Then we can write: (1/3)x = female guests. We are given that the number of female guests is 20, so we can write: (1/3)x = 20. Multiplying both sides by 3, we get: x = 60. The value of x is 60. 60 The answer is: 60
question:f a+b = 6 and a - b = X, The value of a^2 - b^2 is 12. What is the value of unknown variable X?
answer:To solve this problem, we need to determine the value of x, which represents the value of a - b. We know that a + b = 6 and a^2 - b^2 = 12. We can use the formula for the difference of squares to rewrite a^2 - b^2 as (a + b)(a - b). Substituting the given values, we have 12 = 6(a - b). Dividing both sides of the equation by 6, we get 2 = a - b. Therefore, the value of the unknown variable x is 2. The answer is: 2
question:There are x times as many swordfish as pufferfish in an aquarium exhibit. If there are 90 fish total, There are 15 pufferfish. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of times there are more swordfish than pufferfish in the aquarium exhibit. We know that there are 15 pufferfish in the exhibit. We also know that the total number of fish is 90. Let's set up the equation using the given information: Number of pufferfish + Number of swordfish = Total number of fish 15 + x * 15 = 90 Let's simplify and solve for x: 15 + 15x = 90 To isolate x, we subtract 15 from both sides of the equation: 15 + 15x - 15 = 90 - 15 15x = 75 To solve for x, we divide both sides of the equation by 15: x = 75 / 15 x = 5 The value of x is 5. 5 The answer is: 5