Adult tickets to a basketball game cost 5 dollars. Student tickets cost 1 dollars. A total of 2,552 dollars was collected on thesale of 1,132 tickets. How many of each type of ticket were sold?
For simplicity sake, let a = adult ticket and s = student ticket.
a + s = 1132 tickets
(5)a + (1)s = 2552
5a + s = 2552
s = 2552 - 5a
a + (2552 - 5a) = 1132
a - 5a = 1132 - 2552
-4a = -1420
a = 355 adult tickets
a + s = 1132
355 + s = 1132
s = 777 student tickets