Question

The ticket sales at a movie theater were $6,569. Adult tickets are $12, and senior tickets are $11. The

number of senior tickets sold was 21 less than twice the number of adult tickets. Determine the
number of adult tickets and senior tickets sold.
They sold
adult tickets.
They sold
senior tickets.

Answer 1

12x + 11y = 6569 (X is adult ticket, Y is senior ticket)

Y = 2x - 21

Now to plug it in:

12x + 11(2x-21) = 6569

12x+22x-231 = 6569

34x = 6569 + 231 = 6800

34x = 6800

x = 200

y = 379

200 adult tickets were sold and 379 senior tickets were sold.