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22 January, 14:28

In a field of ducks and a dog someone counted 25 heads and 80 legs. How many dogs and ducks are there

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Answers (2)
  1. 22 January, 16:00
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    Ducks have 1 head. Dogs have 1 head.

    Ducks have 2 feet. Dogs have 4 feet.

    If x = no. of ducks and g = no. of dogs

    x + g = 25

    2x + 4g = 80

    Let's use substitution to solve.

    x + g = 25 ⇒ x = 25 - g

    replace x with 25 - g in the other equation and solve for g

    2x + 4g = 80

    2 (25 - g) + 4g = 80

    50 - 2g + 4g = 80

    50 + 2g = 80

    2g = 30

    g = 15

    Now use g = 15 in an earlier equation to find x.

    x + g = 25

    x + 15 = 25

    x = 10
  2. 22 January, 16:45
    0
    Ducks have two legs while dogs have four legs and their are 25 heads, so there must be 15 dogs and 10 ducks.

    15 (heads) x 4 (legs/head) = 60 legs 10 (heads) x 2 (legs/head) = 20 legs

    60 legs + 20 legs = 80 legs

    15 heads + 10 heads = 25 heads

    (legs/head) is read as legs per head
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