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. .

1 answer

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.