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=$8$ .

The local school raises by selling tickets to play, during two days. In the equations 5x + 2y = 48 and 3x + 2y = 325x + 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?