SOLUTION: 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 re

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?
.
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
.
Multiply both sides of the second equation by -1
5x+2y = 48
-3x-2y =-32
.
Now, add the two equations together:
5x+2y = 48
-3x-2y =-32
--------------
2x = 16
dividing both sides by 2:
x = $8 (adult ticket cost)

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