document.write( "Question 782540: The drama club sold 250 tickets for a play and made $1573. If faculty tickets were $7.15 each and student tickets were $5.50 each, how many of each ticket were sold ? \n" ); document.write( "

Algebra.Com's Answer #476430 by mananth(16946) $\"\"$ $\"About$

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x= Number of Faculty tickets
\n" ); document.write( "y= Number of student tickets
\n" ); document.write( "
\n" ); document.write( "1.00 x + 1.00 y = 250.00 .............1
\n" ); document.write( "Total value
\n" ); document.write( "7.15 x + 5.50 y = 1,573.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -5.50
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-5.50 x -5.50 y = -1,375.00
\n" ); document.write( "7.15 x + 5.50 y = 1,573.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "1.65 x = 198.00
\n" ); document.write( "/ 1.65
\n" ); document.write( "x = 120.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 250.00
\n" ); document.write( "120.00 + y = 250.00
\n" ); document.write( " y = 250.00 -120.00
\n" ); document.write( " y = 130.00
\n" ); document.write( " y = 130.00
\n" ); document.write( "x= 120 Number of Faculty tickets
\n" ); document.write( "y= 130 Number of student tickets
\n" ); document.write( "m.ananth@hotmail.ca
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