The freshman class raised funds for a school dance. It cost $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 may students can attend the school dance. Show your work in vertical form.
Let's assume the number of students attending the school dance is 's'.
The cost of renting the hall is $3000 and the cost per student for food and drinks is $15.
So, the total cost for food and drinks for 's' students would be 15*s.
Therefore, the total cost of the school dance would be 3000 + 15*s.
The freshman class raised $12000.
So, the equation to determine the number of students is 3000 + 15*s = 12000.
Now, let's solve the equation:
(1) 3000 + 15*s = 12000
Subtracting 3000 from both sides,
(2) 15*s = 9000
Dividing both sides by 15,
(3) s = 600
Therefore, the freshman class can allow 600 students to attend the school dance.
The equation in vertical form is:
3000
+ 15s
---------
12000
Let's assume the number of students attending the school dance as 'x'.
The cost of renting out the hall is $3,000, and the cost per student for food and drinks is $15. The total cost can be represented as:
Cost of renting + (Cost per student * Number of students) = Total cost
$3,000 + ($15 * x) = $12,000
Now we can solve the equation:
$15 * x = $12,000 - $3,000
$15 * x = $9,000
Divide both sides of the equation by $15 to isolate the variable:
x = $9,000 / $15
x = 600
Therefore, 600 students can attend the school dance.
To find out how many students can attend the school dance, we need to set up an equation that represents the total cost. Let's call the number of students attending the dance "x."
The cost to rent the hall is a fixed expense of $3,000, regardless of the number of students attending. Additionally, there is a variable expense of $15 per student for food and drinks.
The total cost of the dance can be calculated by adding the cost of renting the hall to the cost of food and drinks for each student. Therefore, the equation can be written as:
Total Cost = Rent + (Cost per student x Number of students)
Using the given information, we can substitute the values into the equation:
$12,000 = $3,000 + ($15 x x)
Simplifying the equation, we have:
$12,000 = $3,000 + $15x
Now, let's solve for the value of "x" by isolating it on one side of the equation:
$12,000 - $3,000 = $15x
$9,000 = $15x
To solve for "x," we divide both sides of the equation by $15:
$9,000 / $15 = x
600 = x
Therefore, the answer is that 600 students can attend the school dance.