Question

The ticket sales at a movie theater were $5,088. Adult tickets were $13, and senior tickets are $22. The number of senior tickets was 32 less than twice the number of adult tickets. Determine the number of adult tickets and senior tickets sold.

Answer 1

the number of adult tickets and senior tickets sold is 102 and 172 respectively

Explanation:

The computation of the number of adult tickets and senior tickets sold is shown below:

Let us assume the number of adult ticket be x

And, the number of senior tickets be y

Now the first equation is

13x + 22x = $5,088

And, the second equation is

y = 2x - 32

Now put the y value in the first equation

13x + 22 × (2x - 32) = $5,088

13x + 44x - 704 = $5,088

57x = $5,088 + $704

57x = $5,792

x = 102

Now the y value is

= 2 (102) - 32

= 172

Hence, the number of adult tickets and senior tickets sold is 102 and 172 respectively