There were a total of 480 tickets sold for the school play. Adult tickets sold for $8 and student tickets sold for $5. The ticket sales brought in $3369. How many adult tickets and student tickets were sold?

Step-by-step explanation:

Let A be the number of adult tickets and

let S be the number of student tickets.

From the question we know that

A + S = 480

The revenue from the adult tickets is

A x $8

and the revenue from the student tickets is

S x $5

So the total revenue is

A x $8 + S x $5 = $3369

We can change the first equation to

S = 480 - A

and then plug this into the second equation to get

A x $8 + (480 - A) x $5 = $3369

Simplify the equation to obtain

A = 323

Plug this value into the first equation to obtain

S = 157