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?
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