SOLUTION: Adult movie tickets cost 6 dollars. Child tickets cost 3 dollars. If 700 people go to a movie and the total ticket sales are 3300 dollars how many children and how many adults were

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Question 258680: Adult movie tickets cost 6 dollars. Child tickets cost 3 dollars. If 700 people go to a movie and the total ticket sales are 3300 dollars how many children and how many adults were there?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the adult tickets, C the children tickets.
1.A%2BC=700
2.6A%2B3C=3300
From eq. 1,
A=700-C
Substitute in eq. 2,
6%28700-C%29%2B3C=3300
4200-6C%2B3C=3300
-3C=-900
C=300
Then from eq. 1,
A=700-C
A=700-300
A=400
400 adult tickets, 300 children tickets.