<PRE><B>Question 1187928</B>
.
There are 19 animals in the field. Some are goats and some are ducks. 
There are 72 legs in all. How many of each animal are in the field?
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&lt;pre&gt;
Let x be the number of goats;  then the number of ducks is (19-x).


There is no need to remind that the ducs have two legs, while the goats have four legs.


So we write an equation for the total of legs


    4x + 2*(19-x) = 72.


Simplify and find x


    4x + 38 - 2x = 72

    4x - 2x = 72 - 38

      2x    =   34

       x    =   34/2 = 17.


&lt;U&gt;ANSWER&lt;/U&gt;.  There are 17 goats and 19-17 = 2 ducks.


&lt;U&gt;CHECK&lt;/U&gt;.   17*4 + 2*2 = 68 + 4 = 72  total legs.   ! Correct !
&lt;/pre&gt;

Solved.


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