document.write( "Question 1205921: A plumber earns $15 per hour more than her apprentice. In each 40-hour week, their combined earnings are $2200. What is the hourly rate for each? \n" ); document.write( "

Algebra.Com's Answer #843018 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "A plumber earns $15 per hour more than her apprentice.
\n" ); document.write( "In each 40-hour week, their combined earnings are $2200.
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document.write( "Let x be the plumber's rate per hour, in dollars.\r\n" );
document.write( "Then the apprentice rate per hour is (x-15) dollars.\r\n" );
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document.write( "The combined earning per 40-hours week equation is\r\n" );
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document.write( "    40x + 40*(x-15) = 2200.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    40x + 40x - 600 = 2200\r\n" );
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document.write( "    80x = 2200 + 600 = 2800\r\n" );
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document.write( "      x              = 2800/80 = 35.\r\n" );
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document.write( "ANSWER.  The plumber's hourly rate is $35.  The apprentice's hourly rate is $20.\r\n" );
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document.write( "CHECK.   Combined earning for 40-hours week is 40*(35+20) = 2200 dollars.   ! correct !\r\n" );
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