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question:Johnny wrote an essay with x words. Madeline wrote an essay that was double in length, and Timothy wrote an essay that had 30 words more than Madeline's. If one page contains 260 words, how many pages do Johnny, Madeline, and Timothy's essays fill? If we know the answer to the above question is 3, what is the value of unknown variable x?
answer:Johnny wrote an essay with x words. Madeline wrote an essay that was double in length, which means she wrote 2x words. Timothy wrote an essay that had 30 words more than Madeline's, which means he wrote 2x + 30 words. The total number of words in all three essays is the sum of the number of words in Johnny's, Madeline's, and Timothy's essays: x + 2x + (2x + 30). We are given that the total number of words is 3 pages, and we know that one page contains 260 words, so we can write: (x + 2x + (2x + 30))/260 = 3. Simplifying the left side, we get: (5x + 30)/260 = 3. Multiplying both sides by 260, we get: 5x + 30 = 780. Subtracting 30 from both sides, we get: 5x = 750. Dividing both sides by 5, we get: x = 150. The value of x is 150. 150 The answer is: 150
question:The difference between the number of boys and girls in a tree planting event is 400. If there are x boys at the event, and the number of girls is more than the number of boys, 60% of the total number of boys and girls at the event is 960. 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 boys at the tree planting event. We know that the difference between the number of boys and girls is 400. This means that the number of girls is x + 400. We also know that 60% of the total number of boys and girls is 960. This means that 0.6 * (x + (x + 400)) = 960. Let's simplify and solve for x: 0.6 * (2x + 400) = 960 0.6 * 2x + 0.6 * 400 = 960 1.2x + 240 = 960 To isolate x, we subtract 240 from both sides of the equation: 1.2x + 240 - 240 = 960 - 240 1.2x = 720 To solve for x, we divide both sides of the equation by 1.2: x = 720 / 1.2 x = 600 The value of x is 600. 600 The answer is: 600
question:Kaiden is collecting cans of soup for the local soup kitchen. He collects 158 cans during his first week and 259 during the second week. If his goal is to collect 500 cans how many more cans of soup does he need to collect?
answer:In the first week, Kaiden collects 158 cans of soup. In the second week, Kaiden collects 259 cans of soup. In total, Kaiden collects 158 + 259 = 417 cans of soup. Kaiden's goal is to collect 500 cans of soup. Therefore, Kaiden needs to collect 500 - 417 = 83 more cans of soup. 83 The answer is: 83
question:At football tryouts, the coach wanted to see who could throw the ball the farthest. Parker threw the ball 16 yards. Grant threw the ball 25 percent farther than Parker and Kyle threw the ball 2 times farther than Grant. Compared to Parker, how much farther did Kyle throw the ball?
answer:Grant threw the ball 25% farther than Parker. To find out how much farther Grant threw, we can calculate 25% of 16 yards, which is 0.25 * 16 = 4 yards. So Grant threw the ball 16 + 4 = 20 yards. Kyle threw the ball 2 times farther than Grant. To find out how much farther Kyle threw, we can calculate 2 times 20 yards, which is 2 * 20 = 40 yards. Compared to Parker, Kyle threw the ball 40 - 16 = 24 yards farther. 24 The answer is: 24