The equations 5x+2y=48 and 3x+2y=32 represent the money collected from the school concert. If x represents the cost for each adult ticket and y represents the cost for each student ticket, how do you find the cost of each ticket?

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Answer 1 · 2016-12-16T11:50:32

Adult ticket costs #8# . Student ticket costs #4#

#5x+2y = 48 (1)#
#3x+2y = 32 (2)# Subtracting (2) from (1) we get

#2x=16 or x=8 ; 2y =48-5x or 2y =48 - 5*8 or 2y=8 or y=4#

Adult ticket costs #8# currency
Student ticket costs #4# currency [Ans]