SOLUTION: There is an animal farm where chickens and cows live. All together, there are 47 heads and 164 legs. How many chickens and cows are there on the farm?

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Question 1178438: There is an animal farm where chickens and cows live. All together, there are 47 heads and 164 legs. How many chickens and cows are there on the farm?
Answer by ikleyn(52777) About Me  (Show Source):
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There is an animal farm where chickens and cows live. All together, there are 47 heads and 164 legs.
How many chickens and cows are there on the farm?
~~~~~~~~~~~~~~ 

x cows and (47-x) chicken


The total number of legs equation is


    4x + 2(47-x) = 164.


From the equation,


    x = %28164+-+2%2A47%29%2F%284-2%29 = 35.


ANSWER.  35 cows and 47-35 = 12 chicken.


CHECK.  35*4 + 12*2 = 164 total legs.   ! Correct !

Solved.

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