SOLUTION: Hi I need help with this word problem. I can not get what the 3rd equation should be. Here is the problem: Adult tickets to a movie theater cost $7.25 for adults, $6.25 for senio

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Hi I need help with this word problem. I can not get what the 3rd equation should be. Here is the problem: Adult tickets to a movie theater cost $7.25 for adults, $6.25 for senio      Log On


   

Question 147346: Hi I need help with this word problem. I can not get what the 3rd equation should be. Here is the problem: Adult tickets to a movie theater cost $7.25 for adults, $6.25 for senior citizens and $5.00 for children. Over the weekend the theater sold 355 tickets and had a revenue of $2133.75. It is known there were twice as many children's tickets sold as there were senior citizen tickets sold. How many of each ticket were sold?
This is as far as I could get.
Adult Senior citizens Children
x + Y + Z = 355
7.25x + 6.25y + 5.00Z = 2133.75
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The 3rd equation can be derived from the statement:
"It is known there were twice as many children's tickets sold as there were senior citizen tickets sold. "
z = 2y
:
Substitute 2y for z and you have two equations with two unknowns