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14 May, 12:26

It is a math problem of first degree equations:

In a farm there are rabbits and chickens, in total 39 heads and 126 legs. How many rabbits and how many chickens are there?

Can you explain me this probles step by step?

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Answers (1)
  1. 14 May, 13:36
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    Step-by-step explanation:

    Ok, so there are rabbits and chickens

    Rabbits have 4 legs and 1 head

    Chickens have 2 legs and 1 head

    So obviously we have a total of 39 animals

    Let's make rabbits = x and chickens = y

    So now we can make an equation for heads and and equation for legs.

    Legs:

    4x + 2y = 126

    Heads:

    x + y = 39

    Now we can use substitution to solve.

    If x + y = 39, then y = 39 - x

    So,

    4x + 2 (39-x) = 126

    Distribute and Combine like terms

    4x + 78 - 2x = 126

    2x + 78 = 126

    2x = 48

    x = 24

    Plug x back in to the second equation

    (24) + y = 39

    y = 15

    That means,

    x = rabbits = 24

    y = chickens = 15
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