document.write( "Question 1090193: Two mechanics worked on a car. The first mechanic worked for
\n" ); document.write( "20
\n" ); document.write( " hours, and the second mechanic worked for
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\n" ); document.write( ". What was the rate charged per hour by each mechanic if the sum of the two rates was
\n" ); document.write( "$125
\n" ); document.write( " per hour?
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Algebra.Com's Answer #704601 by ikleyn(53266) $\"\"$ $\"About$

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\n" ); document.write( "Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.
\n" ); document.write( "Together they charged a total of $2250.
\n" ); document.write( "What was the rate charged per hour by each mechanic, if the sum of the two rates was
\n" ); document.write( "$125 per hour?
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document.write( "Let x be the rate of the first mechanic.\r\n" );
document.write( "Then the rate of the second mechanic is (125 - x) dollars.\r\n" );
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document.write( "The \"amount\" equation is\r\n" );
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document.write( "20x + 15*(125-x) = 2250  dollars.\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "20x + 1875 - 15x = 2250  ====>\r\n" );
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document.write( "5x = 2250 - 1875 = 375  ====>  x =  = 75.\r\n" );
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document.write( "Thus the first mechanic's rate is $75 per hour.\r\n" );
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document.write( "Then the second mechanic's rate is $125 - $75 = $50 per hour.\r\n" );
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