The freshman class raised funds for a school dance. It costs $3,000 to rent out the hall plus $15 per student for food and drinks. The freshman class raised $12,000. Write and solve an equation to determine how many students can attend the school dance. .
Let's say the number of students attending the school dance is represented by x.
The amount of money raised from food and drinks is the product of the number of students (x) and the cost per student ($15), so that is 15x.
The total amount of money raised is the sum of the money raised from food and drinks (15x) and the cost to rent the hall ($3,000), so that is 15x + 3,000.
We know that the total amount of money raised is $12,000, so we can set up the equation:
15x + 3,000 = 12,000
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 3,000 from both sides of the equation:
15x + 3,000 - 3,000 = 12,000 - 3,000
15x = 9,000
To solve for x, we divide both sides of the equation by 15:
15x/15 = 9,000/15
x = 600
So, 600 students can attend the school dance.
Let's assume the number of students attending the school dance is 'x'.
The total cost to rent out the hall is $3,000, and the cost per student for food and drinks is $15. Therefore, the total cost for food and drinks for 'x' students would be 15x.
Considering that the freshman class raised $12,000, the equation representing the total funds raised would be:
3,000 + 15x = 12,000
To solve for 'x', we can subtract 3,000 from both sides of the equation:
15x = 12,000 - 3,000
15x = 9,000
Dividing both sides of the equation by 15, we get:
x = 9,000 / 15
x = 600
Therefore, 600 students can attend the school dance.
To solve this problem, we need to set up an equation that represents the total cost of the school dance and then solve for the number of students who can attend.
Let's call the total number of students attending the school dance "x".
The cost of renting out the hall is a fixed amount of $3,000.
The cost per student for food and drinks is $15.
The total amount raised by the freshman class is $12,000.
So, the equation representing the total cost of the school dance is:
Total Cost = Cost of Renting Hall + (Cost per Student * Number of Students)
Using the given values, we can write the equation as:
12,000 = 3,000 + (15 * x)
To solve for x, we need to isolate the variable.
First, simplify the equation:
12,000 = 3,000 + 15x
Next, subtract 3,000 from both sides to isolate the variable:
9,000 = 15x
Divide both sides of the equation by 15 to solve for x:
x = 9,000 / 15
Simplifying further, we get:
x = 600
Therefore, the number of students who can attend the school dance is 600.