The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from movie sales during one showing. If 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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5x+2y =48

3x+2y =32

Subtracting second equation from first

2x=16

x=8

3*8+2y=32

24+2y=32

2y =32-24 =8

y= 4

x=cost of each adult ticket = 8

Also

y= cost of each student ticket = 4

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