document.write( "Question 501719: Theater charges 8.50 for adults and 5.50 for children. Total sales last night were 2662.50 selling 375 tickets. How many childrens tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #338635 by mananth(16946) $\"\"$ $\"About$

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adults x
\n" ); document.write( "child y 0
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\n" ); document.write( "8.5 x + 5.5 y = 2662.5 .............1
\n" ); document.write( "1 x + 1 y = 375 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 1
\n" ); document.write( "Multiply (2) by -5.5
\n" ); document.write( "8.5 x 5.5 y = 2662.5
\n" ); document.write( "-5.5 x -5.5 y = -2062.5
\n" ); document.write( "Add the two equations
\n" ); document.write( "3 x = 600
\n" ); document.write( "/ 3
\n" ); document.write( "x = 200
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "8.5 x + 5.5 y = 2662.5
\n" ); document.write( "1700 + 5.5 y = 2662.5
\n" ); document.write( " 5.5 y = 2662.5 -1700
\n" ); document.write( " 5.5 y = 962.5
\n" ); document.write( " y = 175
\n" ); document.write( "adults 200
\n" ); document.write( "child 175
\n" ); document.write( "m.ananth@hotmail.ca
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