SOLUTION: Use a system of linear equations with two variables and two equations to solve. A concert manger counter 500 tickets receipts the day after a concert. The price for a student t

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Question 1046311: Use a system of linear equations with two variables and two equations to solve.
A concert manger counter 500 tickets receipts the day after a concert. The price for a student ticket was $13.50, 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y represent the number of students and adults respectively.
x + y = 500 . x+=+500-y
13.50x + 16.00y = 7562.50 (In dollars)
13.50x + 16.00y = 7562.50
13.50(500-y) + 16.00y = 7562.50
Solve for y and substitute that in to find x x=500-y