SOLUTION: You are selling tickets for a high school play. student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2876. How many of each ticket did y

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Question 1117555: You are selling tickets for a high school play. student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2876. How many of each ticket did you sell?
I don't know how to solve this. I need a step by step explanation (if possible) and formulas for how to solve. I have a test soon, so I need to study!
Mostly, I have NO IDEA how to solve this type of problem.
Thanks for your time!
-MB
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Assign variables to each quantity of tickets. Write equation to account for total number of tickets. Write equation to account for ticket sales.


x, student tickets
y, general admission tickets

system%28x%2By=525%2C4x%2B6y=2876%29
Try to simplify the revenue equation if possible.
Solve the system of equations. Elimination Method may be a good choice.

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Equivalent system, system%28x%2By=525%2C2x%2B3y=1438%29

This equivalent system lets you eliminate x to find y:
system%282x%2B2y=1050%2C2x%2B3y=1438%29
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y=1438-1050
y=388
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