# The local school raises by selling tickets to play, during two days. In the equations 5x + 2y = 48 and 3x + 2y = 32 x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

Each adult ticket costs $8. #### Explanation: $5 x + 2 y = 48$indicates that five adult tickets and two student tickets cost $48.
Similarly $3 x + 2 y = 32$ indicates that three adult tickets and two student tickets cost $32. As number of students is same, it is obvious that additional charge of 48-32=$16 is due to two additional adult tickets.
Hence, each adult ticket must cost $16/2=$8.