document.write( "Question 1170294: jose's farm has 35 ducks and goat. when jose counts the feet of his farm animals all in all it is 106. how many dusks does he have? \n" ); document.write( "

Algebra.Com's Answer #795159 by ikleyn(52793) $\"\"$ $\"About$

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\n" ); document.write( "jose's farm has 35 ducks and goat. when jose counts the feet of his farm animals all in all it is 106.
\n" ); document.write( "how many dusks does he have?
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document.write( "Let \"d\" be the number of ducks.\r\n" );
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document.write( "Then the number of goats was  (35-d) : they are the rest of animals.\r\n" );
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document.write( "There is no need to remind that ducks have two legs, while goats have four legs.\r\n" );
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document.write( "Therefore, the equation for total of the legs is\r\n" );
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document.write( "    2d + 4*(35-d) = 106.     (*)\r\n" );
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document.write( "Simplify it and find the unknown value of \"d\".\r\n" );
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document.write( "    2d + 140 - 4d = 106\r\n" );
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document.write( "      -2d         = 106 - 140\r\n" );
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document.write( "      -2d         = -34\r\n" );
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document.write( "       d          =  = 17.\r\n" );
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document.write( "ANSWER.  There are 17 ducks at the farm.\r\n" );
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document.write( "CHECK.  I will check if the equation (*) is satisfied.\r\n" );
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document.write( "        2*17 + 4*(35-17) = 34 + 2*18 = 34 + 72 = 106.     ! Precisely correct !\r\n" );
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