SOLUTION: 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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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?
Answer by ikleyn(52798) About Me  (Show Source):
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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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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.


ANSWER.  6 goats and  11-6 = 5 ducks.

Solved.

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