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A farm has cows and ducks. There are 78 feet and 27 hands. How many of each animal are there? How do you know?

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    Hands? Is this a trick question?

    Hmmm. Surely you know ducks don't have hands, nor cows. Wondering if your teacher knows.

    I will assume heads.

    leg equation: 4C+2D=78
    head equation: C+D=27

    This assumes of course, no two headed cows are ducks.

    so solve the two equations for C and D.

    Hint> multiply the second equation by 2, and then subtract the second equation from the first.

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