The total receipts for a basketball game are 7449 for 1362 t

The total receipts for a basketball game are $7449 for 1362 tickets sold. Adult tickets are taxed at a different rate than Student tickets. Because of this, we need to determine how many of each kind of tickets that were sold so that we can pay the appropriate taxes. What we do know is Adults paid $9 each for admission and students paid $2 each.

Solution

let adult tickets = x

student tickets = y

x + y = 1362 -------------- 1st

9x + 2y = 7449 ------------- 2nd

solving 2 equations for x and y

-2x - 2y = -2724

9x + 2y = 7449

--------------------------

7x        = 4725

x = 675

y = 687

adult tickets = 675

student tickets = 687