SOLUTION: Orchestra seats for a Symphony performance cost $6 more than balcony seats. If 400 orchestra seats and 250 balcony seats were sold and the total sales were $8250, how much was each

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Question 1088589: Orchestra seats for a Symphony performance cost $6 more than balcony seats. If 400 orchestra seats and 250 balcony seats were sold and the total sales were $8250, how much was each type of seat?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x is the cost/price of one balcony seat, in dollars.

Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.


The total cost of tickets is 


250x + 400*(x+6) = 8250.


Simplify it step by step.


250x + 400x + 2400 = 8250,

650x = 8250 - 2400 = 5850  ====>  x = 5850%2F650 = 9.


Answer.  The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.


Check.   9*250 + 15*400 = 8250.  Correct.

Solved.