SOLUTION: A group bought 20 tickets to an amusement park for a total cost of $540. Student tickets cost $25 each and adult tickets cost $30 each. How many student tickets were purchased?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A group bought 20 tickets to an amusement park for a total cost of $540. Student tickets cost $25 each and adult tickets cost $30 each. How many student tickets were purchased?      Log On


   

Question 1007837: A group bought 20 tickets to an amusement park for a total cost of $540. Student tickets cost $25 each and adult tickets cost $30 each. How many student tickets were purchased?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number of student and adult tickets, s and a. Then we have
s + a = 20 and the value equation is
25s + 30a = 540
Now mutiply the top equation by 25 and subtract from the second equation...we get
25s + 30a = 540
-(25s + 25a = 500)
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5a = 40
a = 8 adult tickets
s = 12 student tickets