document.write( "Question 1174011: A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there? \n" ); document.write( "

Algebra.Com's Answer #799354 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "A farmhouse shelters 11 animals. Some are goats and some are ducks.
\n" ); document.write( "Altogether there are 34 legs. How many of each animal are there?
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document.write( "Let x be the number of goats.\r\n" );
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document.write( "Then the number of ducks is  11-x.\r\n" );
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document.write( "There is no need to remind that a goat has 4 legs, while a duck has only 2.\r\n" );
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document.write( "Write this simple equation counting the legs\r\n" );
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document.write( "    4x + 2*(11-x) = 34.\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    4x + 22 - 2x = 34\r\n" );
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document.write( "    4x - 2x = 34 - 22\r\n" );
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document.write( "      2x    =    12\r\n" );
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document.write( "       x    = 12/2 = 6.\r\n" );
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document.write( "ANSWER.  6 goats and  11-6 = 5 ducks.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Problem on two-wheel and three-wheel bicycles\r
\n" ); document.write( "\n" ); document.write( "    - Problem on animals at a farm\r
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\n" ); document.write( "\n" ); document.write( "    - What type of problems are these? \r
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