Question 288379: The equations 5x+2y=48 and 3x+2y=32 represent the money collected from school concert ticket sales during two class periods. 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?
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! The equations 5x+2y=48 and 3x+2y=32 represent the money collected from school concert ticket sales during two class periods. 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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You basically have two unknowns and two equations (system of equations).
You can use the "addition method" to solve.
5x+2y=48
3x+2y=32
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Multiply both sides of the second equation by -1
5x+2y = 48
-3x-2y =-32
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Now, add the two equations together:
5x+2y = 48
-3x-2y =-32
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2x = 16
dividing both sides by 2:
x = $8 (adult ticket cost)
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