SOLUTION: I only need help finding the third equation: Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every da

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I only need help finding the third equation: Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every da      Log On


   

Question 738522: I only need help finding the third equation:
Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certain day, the total revenue at the zoo was $5300. For every 3 teenagers, 8 children went to the zoo. How many teenagers went to the zoo?
What I have:
c+t+a=1200
4c+5t+6a=5300
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
"For every 3 teenagers, 8 children went to the zoo."
That is simply a ratio between two variables. It does not give you enough information for another equation. Use the ratio to simplify your current system so it has TWO variables instead of THREE variables.

You can use the ratio either as %283_teenagers%2F+8_children%29 or %288_children%2F3_teenagers%29. Take your pick, but convert the t or the c in your current system of equations, not both.