document.write( "Question 724124: three hundred tickets were sold at a school play. students paid 150 each and guests paid 350 each. If the total receipts for the play were 75,000, how many tickets of each kind were sold? \n" ); document.write( "

Algebra.Com's Answer #443595 by mananth(16946) $\"\"$ $\"About$

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x= number of student tickets
\n" ); document.write( "y= number of guest tickets
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 300 .............1
\n" ); document.write( "Total value
\n" ); document.write( "150 x + 350 y = 75000 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -350
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-350 x -350 y = -105000
\n" ); document.write( "150 x + 350 y = 75000
\n" ); document.write( "Add the two equations
\n" ); document.write( "-200 x = -30000
\n" ); document.write( "/ -200
\n" ); document.write( "x = 150
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 300
\n" ); document.write( "150 + y = 300
\n" ); document.write( " y = 300 -150
\n" ); document.write( " y = 150
\n" ); document.write( " y = 150
\n" ); document.write( "x= 150 number of student tickets
\n" ); document.write( "y= 150 number of guest tickets
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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