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?

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Answer 1 · 2016-06-03T02:30:41

Each adult ticket costs #$8#.

#5x+2y=48# indicates that five adult tickets and two student tickets cost #$48#.

Similarly #3x+2y=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#.