Question

Tickets to the school musical are $5.00 for adults and $3.50 for students. If the total value of the tickets sold was $2517.50 and 100 more students bought tickets than adults, how many adults and students bought tickets?

Answer 1

To answer this, you will write and equation in terms of the number of adult tickets sold and then solve for a, the number of adult tickets.

$5a + $3.50s = $2517.50
$5a + $3.50(a + 100) = $2517.50
5a + 3.50a + 350 = 2517.50
         8.50a  -350      -350
                  8.5a  = 2167.50
                  8.5         8.5
    a = 255
The number of adult tickets sold was 255, and the number of student tickets sold was 355 (255 +100).