document.write( "Question 1060291: Kermit has agreed to paint Miss Piggy's house for $640.00. Unfortunately, it took Kermit 20 hours longer to paint the house than he had planned and he earned $1.60 per hour less than he had previously calculated. How much was Kermit's anticipated hourly wage to paint Miss Piggy's house? \n" ); document.write( "

Algebra.Com's Answer #675252 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Kermit has agreed to paint Miss Piggy's house for $640.00. Unfortunately, it took Kermit 20 hours longer to paint the house
\n" ); document.write( "than he had planned and he earned $1.60 per hour less than he had previously calculated.
\n" ); document.write( "How much was Kermit's anticipated hourly wage to paint Miss Piggy's house?
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document.write( "Let \"a be Kermit's anticipated hourly wage, in dollars.\r\n" );
document.write( "Then his real hourly wage was (a-1.6) dollars.\r\n" );
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document.write( "So, Kermit originally planned to complete the job in  hours.\r\n" );
document.write( "But in reality he spent  hours.\r\n" );
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document.write( "The difference is 20 hours. It gives you an equation\r\n" );
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document.write( " -  = 20.\r\n" );
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document.write( "To solve it, multiply both sides by a*(a-1.6). You will ge\r\n" );
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document.write( "640a - 640(a-1.6) = 20a(a-1.6).\r\n" );
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document.write( " = 0,\r\n" );
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document.write( " = 0,\r\n" );
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document.write( " = . . . .\r\n" );
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document.write( "The positive solution is a = 8.\r\n" );
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document.write( "Answer.  Kermit's anticipated hourly wage of $8.\r\n" );
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document.write( "Check.    = 80 hours.   =  = 100.  100 - 80 = 20.  Correct !\r\n" );
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