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17 October, 18:00

Farmer Jones raises ducks and cows. He looks out his window and sees 54 animals with a total of 122 feet. If each animal is "normal", have many of each type of animal does he have

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  1. 17 October, 18:05
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    47 ducks and 7 cows

    Step-by-step explanation:

    Ducks have 2 legs and cows have 4 legs.

    If all the animals are ducks,

    number of legs = 54 (2) = 108

    Difference in number of legs = 122 - 108 = 14

    Difference in no. of legs per animal = 4 - 2 = 2

    Number of cows=14 : 2 = 7

    Number of ducks = 54-7 = 47

    Thus, he have 47 ducks and 7 cows.

    Let's check:

    Total number of feet = 7 (4) + 47 (2) = 122 ✓

    You could also first assume that all the animals are cows. The answer would be the same.
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