document.write( "Question 837602: A theater group plans to sell 500 tickets for a play. They charge $45 for each orchestra seat and $30 for each balcony seat, and they plan to collect $18000 for a performance. How many of each type of tickets do they expect to sell? \n" ); document.write( "

Algebra.Com's Answer #504665 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
x= number of orchestra seats
\n" ); document.write( "y= number of balcony seats
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 500 .............1
\n" ); document.write( "Total value
\n" ); document.write( "45 x + 30 y = 18,000 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -30
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-30 x -30 y = -15,000
\n" ); document.write( "45 x + 30 y = 18,000
\n" ); document.write( "Add the two equations
\n" ); document.write( "15 x = 3,000
\n" ); document.write( "/ 15
\n" ); document.write( "x = 200
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 500
\n" ); document.write( "200 + y = 500
\n" ); document.write( " y = 500 -200
\n" ); document.write( " y = 300
\n" ); document.write( " y = 300
\n" ); document.write( "x= 200.00 number of orchestra seats
\n" ); document.write( "y= 300.00 number of balcony seats
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

\n" );