algebra word problem

Question

You are buying tickets to the movies online. The tickets cost $12 per adult and $6 per child. A one-time service fee of $6 is added to your total cost. Write an equation to find the total cost of going to the movies. 

Total Cost =  



If the total cost of the movies was $84 and 5 adult tickets were purchased, how many child tickets were purchased?

c =  

Answer 1

A: number of adults

Ch : number of children

C = 12A+6Ch+c

part b

A = 5

C = 84

84 = 12(5)+6Ch+6

18 = 6(C)

C = 3

Answer 2

Let x adult tickets, y child tickets.

Then C(x,y) = 12x + 6y + 6;

84 = 60 + 6y + 6; y = 3