Question 1187123
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In a pen of goats and chickens, there are 35 heads and 110 feet. How many goats and chickens are in the pen?
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<pre>
Let x be the number of goats; then the number of chicken is (35-x).


Now we write equation counting the legs

    4x + 2*(35-x) = 110.


Simplify and find x

    4x + 70 - 2x = 110

         2x      = 110 - 70

         2x      =    40

          x      =    40/2 = 20.


<U>ANSWER</U>.  20 goats, and the rest  35 - 20 = 15 are chicken.


<U>CHECK</U>.   Count the legs:  20*4 + 15*2 = 80 + 30 = 110.    !  Correct !
</pre>

Solved.


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