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?

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).