The drama club sold 180 tickets to their first performance. They charged $5 for each adult ticket and $4 for each student ticket. They made a total of $798. How many student tickets did they sell?

Question

Help for Algebra 1, Thanks!

Answer 1

Let's assume "a" the number of adult's tickets sold and "s" the number of student's ticket sold.

We are told that in total 180 tickets were sold, we can write this equation as:

eq. 1) a + s = 180

the equation that describes the total they made from selling these tickets can be expressed as:

eq. 2) 5a + 4s = 798

Using equation 1, we can solve for either variable. Let's solve for a by subtracting s on both side:

eq. 3) a = 180 - s

We can use the new equation (eq. 3) and substitute that for a in eq. 2. The equation becomes:

eq. 4) 5(180 - s) + 4s = 798

900 - 5s + 4s = 798

900 - s = 798

s = 102 (102 student tickets were sold out of the total 180 tickets sold)

Hope this helps

Answer 2

Let a be the number of adult tickets and s be the number of student tickets.

a+s = 180

5a + 4s = 798

a = 180 -s

5(180-s) +4s = 798

900-5s+4s = 798

s = 900 - 798 = 102

102 student tickets were sold.