<PRE><B>Question 1174011</B>
.
A farmhouse shelters 11 animals. Some are goats and some are ducks. 
Altogether there are 34 legs. How many of each animal are there?
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&lt;pre&gt;
Let x be the number of goats.

Then the number of ducks is  11-x.


There is no need to remind that a goat has 4 legs, while a duck has only 2.


Write this simple equation counting the legs


    4x + 2*(11-x) = 34.


Simplify and solve


    4x + 22 - 2x = 34

    4x - 2x = 34 - 22

      2x    =    12

       x    = 12/2 = 6.


&lt;U&gt;ANSWER&lt;/U&gt;.  6 goats and  11-6 = 5 ducks.
&lt;/pre&gt;

Solved.


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