document.write( "Question 416226: a worker gets 60c an hour for ordinary time and 90c an hour for overtime. If she get #32.40 for a 50 hour week how many hours are overtime? \n" ); document.write( "

Algebra.Com's Answer #291631 by mananth(16946) $\"\"$ $\"About$

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ordinary time = x
\n" ); document.write( "overtime = y
\n" ); document.write( "x+y = 50............1\r
\n" ); document.write( "\n" ); document.write( "0.60x+0.90y=32.40
\n" ); document.write( "multiply by 100
\n" ); document.write( "6x+9y=3240...........2\r
\n" ); document.write( "\n" ); document.write( "...
\n" ); document.write( "x+y=50 .............1
\n" ); document.write( "6x+9y=3240 .............2
\n" ); document.write( "
\n" ); document.write( "multiply (1)by -6
\n" ); document.write( "Multiply (2) by 1 \r
\n" ); document.write( "\n" ); document.write( "multiply (1)by -6
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-6x-6y= -300
\n" ); document.write( "6x+9y=324
\n" ); document.write( "Add the two equations
\n" ); document.write( "3y=24
\n" ); document.write( "/3
\n" ); document.write( "y=8 overtime hours
\n" ); document.write( "Plug value of y in
\n" ); document.write( "1x+1y=50
\n" ); document.write( "1x+8=50
\n" ); document.write( "x=42 normal hours
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