document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #702874 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Let x is the cost/price of one balcony seat, in dollars.\r\n" );
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document.write( "Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.\r\n" );
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document.write( "The total cost of tickets is \r\n" );
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document.write( "250x + 400*(x+6) = 8250.\r\n" );
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document.write( "Simplify it step by step.\r\n" );
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document.write( "250x + 400x + 2400 = 8250,\r\n" );
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document.write( "650x = 8250 - 2400 = 5850  ====>  x =  = 9.\r\n" );
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document.write( "Answer.  The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.\r\n" );
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document.write( "Check.   9*250 + 15*400 = 8250.  Correct.\r\n" );
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