document.write( "Question 567237: A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $54.00 and ticket prices for children are $23.00. If the theatre made $22,102.00 for the show, how many adult and children attended? \n" ); document.write( "

Algebra.Com's Answer #366476 by mananth(16946) $\"\"$ $\"About$

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Adults x numbers
\n" ); document.write( "Children y numbers
\n" ); document.write( "
\n" ); document.write( "x+y= 500 .............1
\n" ); document.write( "54x+23y =22102 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -23
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-23x-23y= -11500
\n" ); document.write( "54x+23y =22102
\n" ); document.write( "Add the two equations
\n" ); document.write( "31x= 10602
\n" ); document.write( "/31
\n" ); document.write( "x=342
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 500
\n" ); document.write( "342 + 1 y = 500
\n" ); document.write( " 1 y = 500-342
\n" ); document.write( " 1 y = 158
\n" ); document.write( " y = 158
\n" ); document.write( "Adults 342 numbers
\n" ); document.write( "Children 158 numbers
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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