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.
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Let's represent the number of students attending the school dance as x.
The cost for food and drinks for each student is $20, so the total cost for food and drinks for all the students is 20x.
The total cost of renting out the hall and food and drinks for all the students is $5,000 + 20x.
The freshman class raised $20,000, so we can write the equation:
20,000 = 5,000 + 20x
To solve for x, we subtract 5,000 from both sides:
20,000 - 5,000 = 5,000 + 20x - 5,000
15,000 = 20x
Next, we divide both sides by 20 to solve for x:
15,000 ÷ 20 = 20x ÷ 20
750 = x
Therefore, the maximum number of students that can attend the school dance is 750.
Let's assume the number of students attending the school dance is 's'.
The cost for renting out the hall is a fixed cost of $5,000.
The cost for food and drinks per student is $20.
Given that the freshman class raised $20,000, we can write the equation:
Total amount raised = Cost of renting hall + (Cost per student x Number of students)
$20,000 = $5,000 + ($20 x s)
Now, let's solve the equation for 's'.
$20,000 - $5,000 = $20s
$15,000 = $20s
Dividing both sides by $20:
s = $15,000 / $20
s = 750
Therefore, 750 students can attend the school dance.
To determine the number of students that can attend the school dance, we need to find the unknown variable, which is the number of students. Let's call the number of students "x."
First, we need to calculate the total cost for renting the hall plus the cost per student for food and drinks. The cost for renting the hall is $5,000, and the cost per student is $20. We can write the equation:
Total cost = Cost for renting the hall + (Cost per student × Number of students)
We know that the total cost is $20,000, so we can substitute these values into the equation:
$20,000 = $5,000 + ($20 × x)
Now, let's solve the equation to find the value of x, which represents the number of students:
$20,000 - $5,000 = $20x
$15,000 = $20x
To isolate the variable x, we need to divide both sides of the equation by $20:
$15,000 ÷ $20 = $20x ÷ $20
750 = x
So, the number of students that can attend the school dance is 750.