Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. write a system of equations to represent the situation. How many adult tickets and student tickets were purchased?

Let a = adults s = students

7.25a + 5.50s = 52.75

a + s = 8

Solve for s

a = 8 - s

7.25 (8-s) + 5.50s = 52.75

58 - 7.25s + 5.50s = 52.75

58 - 1.75s = 52.75

-1.75s = - 5.25

s = 3

then a must = 5

5 + 3 = 8 is true

7.25 (5) + 5.50 (3) = 52.75 is true