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 assume the number of students attending the school dance is represented by the variable "x". The cost of renting out the hall is a fixed cost of $3,000. Therefore, the cost of food and drinks per student would be $15(x).
To determine the total cost of the dance, we add the cost of renting the hall to the cost of food and drinks per student:
Total cost = $3,000 + $15(x)
Since the freshman class raised $12,000, we can set up the following equation:
$3,000 + $15x = $12,000
To solve for x, we subtract $3,000 from both sides and divide by $15:
$15x = $12,000 - $3,000
$15x = $9,000
x = $9,000 / $15
x = 600
Therefore, 600 students can attend the school dance.
Let's call the number of students who can attend the school dance "x".
The cost of renting out the hall is a fixed expense of $3,000.
The cost for food and drinks per student is $15.
The total amount raised by the freshman class is $12,000.
To determine how many students can attend the dance, we need to subtract the fixed expense from the total amount raised and divide the remaining balance by the cost per student.
So, the equation is:
$12,000 - $3,000 + $15x = $15x
Simplifying the equation:
$9,000 = $15x
Dividing both sides of the equation by $15:
$9,000 / $15 = x
x = 600
Therefore, 600 students can attend the school dance.
To determine how many students can attend the school dance, we need to set up an equation. Let's assume "x" represents the number of students attending the dance.
The cost of renting the hall is a fixed amount of $3,000.
The cost per student for food and drinks is $15.
So, the total cost for food and drinks for "x" students would be $15 multiplied by "x", which can be expressed as 15x.
The equation to determine the number of students attending the dance would be:
3000 + 15x = 12000
To solve the equation, we can begin by subtracting 3000 from both sides to isolate 15x:
15x = 12000 - 3000
15x = 9000
To find "x," we divide both sides of the equation by 15:
x = 9000 / 15
x = 600
Therefore, the freshman class can have 600 students attend the school dance.