Juan bought 15 student and non student tickets worth 223.50 altogether. The student tickets cost 12.50 each and the non student tickets cost 18.50 each. How many of each ticket did he buy?

Answer 1

Let s = # student tickets and n = # non-student tickets

n + s = 15

18.5n + 12.5s = 223.5

n=15-s

substitute

18.5(15-s) + 12.5s = 223.5

Now just expand the terms and collect like terms and solve for s.

Then compute n from the solved value of s.