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.

Answer 1

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