document.write( "Question 817095: An adult ticket costs $11 and a child ticket is $6. The theater sells 60 tickets for $460. How many adult tickets (x) and children tickets (y) are sold? \n" ); document.write( "

Algebra.Com's Answer #491883 by mananth(16946) $\"\"$ $\"About$

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x= number adult tickets
\n" ); document.write( "y= number child tickets
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 60 .............1
\n" ); document.write( "Total value
\n" ); document.write( "11 x + 6 y = 460 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -6
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-6 x -6 y = -360
\n" ); document.write( "11 x + 6 y = 460
\n" ); document.write( "Add the two equations
\n" ); document.write( "5 x = 100
\n" ); document.write( "/ 5
\n" ); document.write( "x = 20
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 60
\n" ); document.write( "20 + y = 60
\n" ); document.write( " y = 60 -20
\n" ); document.write( " y = 40
\n" ); document.write( " y = 40
\n" ); document.write( "x= 20 number adult tickets
\n" ); document.write( "y= 40 number child tickets
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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