document.write( "Question 697451: A contractor rented a sander for 5 h and a polisher for 5h for $50. For another job, she rented the sander for 4 h and the polisher for 8 h. The rental fees for that job totalled $56. Find the hourly rate charged for each tool. \n" ); document.write( "

Algebra.Com's Answer #430009 by mananth(16946) $\"\"$ $\"About$

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x= cost per hour sander
\n" ); document.write( "y= cost per hour polisher
\n" ); document.write( "Total sold
\n" ); document.write( "5 x + 5 y = 50 .............1
\n" ); document.write( "
\n" ); document.write( "4 x + 8 y = 56 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -8
\n" ); document.write( "Multiply (2) by 5
\n" ); document.write( "-40 x -40 y = -400
\n" ); document.write( "20 x + 40 y = 280
\n" ); document.write( "Add the two equations
\n" ); document.write( "-20 x = -120
\n" ); document.write( "/ -20
\n" ); document.write( "x = 6
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "5 x + 5 y = 50
\n" ); document.write( "30 + 5 y = 50
\n" ); document.write( " 5 y = 50 -30
\n" ); document.write( " 5 y = 20
\n" ); document.write( " y = 4
\n" ); document.write( " $6 cost per hour sander
\n" ); document.write( " $4 cost per hour polisher
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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