document.write( "Question 785786: One hundred theater tickets were sold. Orchestra seats cost $75 and balcony seats cost $40. The total receipts from ticket sales were $5,400. How many of each type were sold? \n" ); document.write( "

Algebra.Com's Answer #477725 by mananth(16946) $\"\"$ $\"About$

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x= Number of Orchestra seats
\n" ); document.write( "y= Number of balcony seats
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 100 .............1
\n" ); document.write( "Total value
\n" ); document.write( "75 x + 40 y = 5400 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -40
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-40 x -40 y = -4000
\n" ); document.write( "75 x + 40 y = 5400
\n" ); document.write( "Add the two equations
\n" ); document.write( "35 x = 1400
\n" ); document.write( "/ 35
\n" ); document.write( "x = 40
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 100
\n" ); document.write( "40 + y = 100
\n" ); document.write( " y = 100 -40
\n" ); document.write( " y = 60
\n" ); document.write( " y = 60
\n" ); document.write( "x= 40 Number of Orchestra seats
\n" ); document.write( "y= 60 Number of balcony seats
\n" ); document.write( "m.ananth@hotmail.ca
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