Appearance
question:For a wedding, chairs were arranged in 7 rows with 12 chairs in each row. Some people arrived late and grabbed x extra chairs, placing them at the back. There were 95 chairs altogether. 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 extra chairs placed at the back. Let's break down the information given: Number of rows: 7 Number of chairs per row: 12 Total number of chairs: 95 We can set up the equation as follows: Number of rows * Number of chairs per row + Number of extra chairs = Total number of chairs 7 * 12 + x = 95 Let's simplify and solve for x: 84 + x = 95 To isolate x, we subtract 84 from both sides of the equation: 84 + x - 84 = 95 - 84 x = 11 The value of x is 11. 11 The answer is: 11
question:There were some snowflakes at first. It snowed an additional 4 snowflakes every x minutes. If there were 58 snowflakes after 1 hour, how many snowflakes were there at first? If we know the answer to the above question is 10, what is the value of unknown variable x?
answer:We know that it snowed an additional 4 snowflakes every x minutes. After 1 hour, which is 60 minutes, it snowed a total of 60/x * 4 = 240/x snowflakes. If there were 58 snowflakes after 1 hour, we can write: 240/x + the number of snowflakes at first = 58. Subtracting 240/x from both sides, we get: the number of snowflakes at first = 58 - 240/x. We are given that the number of snowflakes at first is 10, so we can write: 58 - 240/x = 10. Adding 240/x to both sides, we get: 58 = 10 + 240/x. Subtracting 10 from both sides, we get: 48 = 240/x. Multiplying both sides by x, we get: 48x = 240. Dividing both sides by 48, we get: x = 5. The value of x is 5. 5 The answer is: 5
question:There are x boys and 11 girls in the second grade and twice that number in the third grade. There are 93 students in grades 2 and 3. 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 in the second grade. Let's break down the information given: Number of boys in the second grade: x Number of girls in the second grade: 11 Number of students in the third grade: 2 * (x + 11) = 2x + 22 Total number of students in grades 2 and 3: 93 We can set up the equation as follows: Number of boys in the second grade + Number of girls in the second grade + Number of students in the third grade = Total number of students in grades 2 and 3 x + 11 + (2x + 22) = 93 Let's simplify and solve for x: 3x + 33 = 93 To isolate x, we subtract 33 from both sides of the equation: 3x + 33 - 33 = 93 - 33 3x = 60 To solve for x, we divide both sides of the equation by 3: x = 60 / 3 x = 20 The value of x is 20. 20 The answer is: 20
question:f Barbara has 9 stuffed animals and Trish has twice as many as Barbara, and they plan to sell their stuffed animals and donate all the money to their class funds, with Barbara selling hers for 2 each and Trish selling hers for 1.50 each, what is the total amount of money they will donate to their class funds?
answer:Barbara has 9 stuffed animals and she plans to sell them for 2 each, so she will donate 9 * 2 = 18 to the class fund. Trish has twice as many stuffed animals as Barbara, so she has 9 * 2 = 18 stuffed animals. Trish plans to sell her stuffed animals for 1.50 each, so she will donate 18 * 1.50 = 27 to the class fund. The total amount of money they will donate to their class funds is 18 + 27 = 45. 45 The answer is: 45