The freshman class raised funds for a school dance. It costs $5,000 to rent out the hall plus $20 per student for food and drinks. The freshman class raised $20,000. Write and solve an equation to determine how many students can attend the school dance.
Let x be the number of students attending the school dance.
The total cost for food and drinks is 20x dollars.
The total cost for the hall and food and drinks is 5000 + 20x dollars.
The equation is 5000 + 20x = 20000.
Subtracting 5000 from both sides, we get 20x = 15000.
Dividing both sides by 20, we get x = <<750=750>>750.
Therefore, 750 students can attend the school dance. Answer: \boxed{750}.
Let's say the number of students attending the school dance is represented by "x".
The cost to rent out the hall is a fixed amount of $5,000. The cost for food and drinks per student is $20. Therefore, the total cost for food and drinks would be 20x.
The total cost of the dance, including the hall rental and food and drinks, is $20,000.
Therefore, the equation to determine how many students can attend the dance is:
5,000 + 20x = 20,000
To solve for "x", we can start by subtracting 5,000 from both sides of the equation:
20x = 20,000 - 5,000
This simplifies to:
20x = 15,000
To isolate "x" on one side of the equation, we need to divide both sides of the equation by 20:
x = 15,000 / 20
Simplifying further:
x = 750
Therefore, the freshman class can have up to 750 students attend the school dance.
To determine how many students can attend the school dance, we need to set up and solve an equation.
Let's assume the number of students attending the dance is 'x'.
The cost of renting out the hall is a fixed expense of $5,000. And for each student attending, an additional $20 is required for food and drinks. Thus, the total cost of the event can be expressed as:
Total cost = Cost of renting out the hall + (Cost per student × Number of students)
Total cost = $5,000 + ($20 × x)
Given that the freshman class raised $20,000, we can set up the equation:
Total funds raised = Total cost
$20,000 = $5,000 + ($20 × x)
Now, let's solve the equation to find the value of 'x', representing the number of students who can attend the school dance.
Subtracting $5,000 from both sides:
$20,000 - $5,000 = ($20 × x)
$15,000 = $20x
Dividing both sides by $20:
$15,000 ÷ $20 = $20x ÷ $20
750 = x
Therefore, the equation tells us that a maximum of 750 students can attend the school dance.