document.write( "Question 724056: the cinema sold 200 ticket for 22600 totally. if the denomination of the ticket were rs.100 and rs.120. how many ticket each denomination were sold. \n" ); document.write( "

Algebra.Com's Answer #443562 by mananth(16946) $\"\"$ $\"About$

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x= number of 100 rupee tickets
\n" ); document.write( "y= number of 120 rupee tickets
\n" ); document.write( "
\n" ); document.write( "x + y = 200 .............1
\n" ); document.write( "Total value
\n" ); document.write( "100 x + 120 y = 22600 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -120
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-120 x -120 y = -24000
\n" ); document.write( "100 x + 120 y = 22600
\n" ); document.write( "Add the two equations
\n" ); document.write( "-20 x = -1400
\n" ); document.write( "/ -20
\n" ); document.write( "x = 70
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 200
\n" ); document.write( "70 + y = 200
\n" ); document.write( " y = 200 -70
\n" ); document.write( " y = 130
\n" ); document.write( " y = 130
\n" ); document.write( "x= 70 number of 100 rupee tickets
\n" ); document.write( "y= 130 number of 120 rupee tickets
\n" ); document.write( "m.ananth@hotmail.ca
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