Question

For the school concert band performance, student tickets cost $8 each and adult tickets cost $12 each. The sellers collected $3,200 from 300 tickets sold. How many adult tickets and student tickets were sold?

Answer 1

Let
\(a: \text{number of adult tickets}\)
\(s: \text{number of student tickets}\)

Since there are 300 tickets sold, you can say that you have:
\(a + s = 300\)

And since the student ticket costs $8, you can say that the total amount of student tickets to be \(8s\)
And the total amount of adult tickets to be \(12a\)
So, in total, they sold $3200 in tickets, so:
\(8s+12a=3200\)

So you have 2 equations and 2 unknowns. You can now solve the system of equations by whichever method you prefer.
\(a + s = 300\)
\(8s+12a=3200\)