document.write( "Question 1140675: a farmer sells sheep at $75 a head. the sheep cost $x each. the farmer finds she has made x% profit on the sale of the sheep. find x\r
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Algebra.Com's Answer #761202 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The equation to this problem is\r\n" );
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document.write( "    x*(1 + x/100) = 75,\r\n" );
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document.write( "where x is the cost for the farmer to buy the sheep some-when earlier.\r\n" );
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document.write( "The equation says that the farmer has the profit of x percents by selling for 75$.\r\n" );
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document.write( "To solve the equation, multiply both sides by 100. you will get\r\n" );
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document.write( "    x*(100+x) = 7500\r\n" );
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document.write( "    x^2 + 100x - 7500 = 0\r\n" );
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document.write( "    (x + 150)*(x - 50) = 0.\r\n" );
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document.write( "Of the twoo roots, only positive x= 50 makes sense as the solution to the problem.\r\n" );
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document.write( "ANSWER.  x = 50 dollars.\r\n" );
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