SOLUTION: Use a system of linear equations with two variables and two equations to solve. A concert manager counted 625 ticket receipts the day after a concert. The price for a student ti

Question 1129497: Use a system of linear equations with two variables and two equations to solve.
A concert manager counted 625 ticket receipts the day after a concert. The price for a student ticket was $12.50, and the price for an adult ticket was $17.00. The register confirms that $9,950.00 was taken in. How many student tickets and adult tickets were sold?
I can solve the equation, but I just need someone to clearly explain how to equation should be set up in order to solve it?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
typical two part ticket sales problem exercise, for either one variable or two variables.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Use a system of linear equations with two variables and two equations to solve.
A concert manager counted 625 ticket receipts the day after a concert. The price for a student ticket was $12.50, and the price for an adult ticket was $17.00. The register confirms that $9,950.00 was taken in. How many student tickets and adult tickets were sold?
I can solve the equation, but I just need someone to clearly explain how to equation should be set up in order to solve it?

Let the number of students' and adults' tickets be S, and A, respectively
Then we get the following system: S + A = 625 -------- eq (i)
12.5S + 17A = 9,950 ---- eq (ii)
You said you can take care of it from here so go right ahead!
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