SOLUTION: Ok this one is stumping me. An outdoor amphitheatre has 25,000 seats. Ticket prices are $15, $17, and $25. The number of tickets priced at $17 must equal two times the number

Question 220864: Ok this one is stumping me.
An outdoor amphitheatre has 25,000 seats. Ticket prices are $15, $17, and $25. The number of tickets priced at $17 must equal two times the number priced at $25. How many tickets should be sold ( assuming all seats can be sold) to bring in $434,500? . Set up a system of equations an dsolve using th inverse matrix method.
I was setting up like this:
X+Y+Z = 25,000
15x + 17y + 25z = 43500
But I cannot get a third set to be able to use the inverse function on my TI84
without it I get the "INVALID DIM" error
HELP!!!!!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An outdoor amphitheatre has 25,000 seats. Ticket prices are $15, $17, and $25. The number of tickets priced at $17 must equal two times the number priced at $25. How many tickets should be sold ( assuming all seats can be sold) to bring in $434,500? . Set up a system of equations an dsolve using th inverse matrix method.
I was setting up like this:
X+Y+Z = 25,000
15x + 17y + 25z = 43500
The number of tickets priced at $17 must equal two times the number priced at $25.
y = 2z
-----------
That's the 3rd equation.
Email me via the thank you note for help, or to check you work if you like.
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