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question:There are x liters of oil in 24 cans. If 10 of the cans are holding 8 liters each, how much oil is each of the remaining cans holding? If we know the answer to the above question is 15, what is the value of unknown variable x?

answer:We know that there are x liters of oil in 24 cans. We also know that 10 of the cans are holding 8 liters each, which means these 10 cans hold a total of 10 * 8 = 80 liters of oil. The remaining cans must hold the remaining amount of oil, which is x - 80 liters. Since we have 24 cans in total, each of the remaining cans must hold (x - 80) / (24 - 10) = (x - 80) / 14 liters of oil. We are given that each of the remaining cans holds 15 liters of oil, so we can write: (x - 80) / 14 = 15. Multiplying both sides by 14, we get: x - 80 = 210. Adding 80 to both sides, we get: x = 290. The value of x is 290. 290 The answer is: 290

question:There are 3 rows of people relaxing at the beach. The first row is made up of 24 people until 3 people get up to wade in the water. x people from the second row, which originally held 20 people, go to join them. The third row is made up of 18 people. How many people are left relaxing on the beach? If we know the answer to the above question is 54, what is the value of unknown variable x?

answer:The first row originally had 24 people, but 3 people got up to wade in the water, so there are 24 - 3 = 21 people left in the first row. The second row originally had 20 people, and x people from the second row went to join the people in the water, so there are 20 - x people left in the second row. The third row has 18 people. The total number of people left relaxing on the beach is the sum of the number of people in the first, second, and third rows: 21 + (20 - x) + 18 = 59 - x. We are given that the total number of people left relaxing on the beach is 54, so we can write: 59 - x = 54. Solving for x, we get: x = 5. The value of x is 5. 5 The answer is: 5

question:Stacy has x more than triple as many berries as Steve. Steve has one half as many berries as Skylar. If Skylar has 20 berries, Stacy has 32 berries. 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 additional number of berries Stacy has compared to triple the number of berries Steve has. Let's break down the information given: Number of berries Skylar has: 20 Number of berries Steve has: 1/2 * 20 = 10 (one half as many as Skylar) Number of berries Stacy has: 32 Number of berries Stacy has more than triple the number of berries Steve has: x We can set up the equation as follows: Number of berries Steve has * 3 + x = Number of berries Stacy has 10 * 3 + x = 32 Let's simplify and solve for x: 30 + x = 32 To isolate x, we subtract 30 from both sides of the equation: 30 + x - 30 = 32 - 30 x = 2 The value of x is 2. 2 The answer is: 2

question:Bret and a team of 3 co-workers were working late so he ordered dinner for everyone. They decided on Chinese. Each main meal costs 12.0. They also ordered x appetizers that were 6.00 each. He includes a 20% tip and an extra 5.00 to make it a rush order. How much does Bret spend on dinner? If we know the answer to the above question is 77, what is the value of unknown variable x?

answer:Each main meal costs 12.0, and there are 4 people in total (Bret and his 3 co-workers). So the cost of the main meals is 4 * 12.0 = 48.0. They also ordered x appetizers that were 6.00 each. So the cost of the appetizers is x * 6.0 = 6.0x. Bret includes a 20% tip, which is 20/100 * (48.0 + 6.0x) = 0.2 * (48.0 + 6.0x) = 9.6 + 1.2x. He also includes an extra 5.00 for a rush order. The total cost of dinner is the sum of the cost of the main meals, the cost of the appetizers, the tip, and the rush order: 48.0 + 6.0x + 9.6 + 1.2x + 5.0. We are given that the total cost is 77.0, so we can write: 48.0 + 6.0x + 9.6 + 1.2x + 5.0 = 77.0. Simplifying the left side, we get: 62.6 + 7.2x = 77.0. Subtracting 62.6 from both sides, we get: 7.2x = 14.4. Dividing both sides by 7.2, we get: x = 2. The value of x is 2. 2 The answer is: 2

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