document.write( "Question 664774: an auditorium has 500 balcony seats and 1800 main- level seats. If tickets for balcony seats will cost 15 dollars less than tickets for main- level seats, what should the prices be for each type of ticket so that the total revenue from a sellout performance will be 84,500? \n" ); document.write( "

Algebra.Com's Answer #413460 by mananth(16946) $\"\"$ $\"About$

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an auditorium has 500 balcony seats
\n" ); document.write( "1800 main- level seats.
\n" ); document.write( "tickets for balcony seats will cost 15 dollars less than tickets for main- level seats,
\n" ); document.write( " sellout performance will fetch 84,500\r
\n" ); document.write( "\n" ); document.write( "main level seats cost x----------- 1800 seats
\n" ); document.write( "balcony seats cost x-15------------500 seats\r
\n" ); document.write( "\n" ); document.write( "1800x+500(x-15)=84500\r
\n" ); document.write( "\n" ); document.write( "1800x+500x-7500=84500
\n" ); document.write( "2300x= 84500+7500
\n" ); document.write( "2300x= 92000\r
\n" ); document.write( "\n" ); document.write( "x= 92000/230\r
\n" ); document.write( "\n" ); document.write( "x= 400\r
\n" ); document.write( "\n" ); document.write( "main level seats cost $400
\n" ); document.write( "balcony seats cost x-15 $385\r
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