Question

A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?

Answer 1

s = number of student tickets

g = number of general admission tickets

A total of 210 people attended the opening night of a school musical means:

s + g = 210

Student tickets cost $3.00 each while general admission tickets
cost $7.50 each, total sales were $1296 means:

3 s + 7.5 g = 1296

Now you must solve system:

s + g = 210

3 s + 7.5 g = 1296

Try it.

The solution is:

s = 62

g = 148


Checking the results:

s + g = 62 + 148 = 210

3 s + 7.5 g = $3 ∙ 62 + $7.5 ∙ 148 = $186 + $1110 = $1296