SOLUTION: Use a system of linear equations with two variables and two equations to solve. A concert manager counted 500 ticket receipts the day after a concert. The price for a student ti

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Question 1046455: Use a system of linear equations with two variables and two equations to solve.
A concert manager counted 500 ticket receipts the day after a concert. The price for a student ticket was $13.50, and the price for and the price for and adult ticket was $16.00. The register confirms that $7,562.50 was taken in. How many student tickets and adult tickets were sold?

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This is the very typical two-ticket priced money and ticket count problem type.

ASSIGN VARIABLES
WRITE TICKET COUNT AND REVENUE EQUATIONS
SOLVE THE SYSTEM

x number of student tickets
y number of adult tickets
system%28x%2By=500%2C13.5x%2B16y=7562.5%29