SOLUTION: A full-price ticket for a college basketball game costs $6.00, and a student ticket costs $4.25. If 496 tickets were sold, and the total receipts were $2,498.25, how many tickets w

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A full-price ticket for a college basketball game costs $6.00, and a student ticket costs $4.25. If 496 tickets were sold, and the total receipts were $2,498.25, how many tickets w      Log On


   

Question 320929: A full-price ticket for a college basketball game costs $6.00, and a student ticket costs $4.25. If 496 tickets were sold, and the total receipts were $2,498.25, how many tickets were student tickets?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let f = full-price ticket
Let s = student ticket
f + s = 496
6.00f + 4.25s = 2498.25
This is a system of linear equations in two variables. The two variables are f and s. I selected f and s but you can use any other two letters.
You now have the two equations above. Use the substitution method to find the value of s. I assume that you know how to solve this type of problem.
Can you take it from here?