help me stuck on this

Question

Tickets to production of school play cost $3.00 for the general admission and $2.50 with student ID . If 196 people paid to see the play? And $ 519.00 was collected , how many of each type of admission were sold ?

Answer 1

Let G=number of general admission tickets and S=number of students tickets.

G+S=196 and 3G+2.5S=519.

G=196-S so we can substitute for G in the second equation:

3(196-S)+2.5S=519.

588-3S+2.5S=519, 0.5S=588-519=69 so S=69/0.5=138 and G=196-138=58.

58 general admission tickets and 138 student ID tickets were sold.