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11 December, 03:29

Farmer brown had ducks and cows. one day she noticed that the animals had a total of 1414 heads and 4444 feet. how many of the animals were ducks and how many were? cows

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  1. 11 December, 05:19
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    Ducks have 1 head, 2 feet.

    Cows have 1 head, 4 feet.

    That means there are 1414 animals in total.

    Now let's make an equation.

    1414 = 2x + 4x

    1414 = total animals

    2x = duck feet

    4x = cow feet

    2x and 4x = feet #

    and let's solve that equation

    1414 = 2x + 4x

    1414 = 6x

    /6 / 6

    235 = x

    (apx.)

    Ducks = 2x = 2 (235) = 470

    Cows = 4x = 4 (235) = 940

    940 + 470 = 1410.

    Since there is a remainder of 4, it can be said that 1 animal with 4 legs will complete this (1414). However, it can also be said that 2 animals with 2 legs will complete this too. So.

    Combination 1:

    Cows = 941

    Chickens = 470

    Combination 2:

    Cows = 940

    Chickens = 472
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