Question 1088589
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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 = {{{5850/650}}} = 9.


<U>Answer</U>.  The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.


<U>Check</U>.   9*250 + 15*400 = 8250.  Correct.
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Solved.