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7 July, 08:39

Problem 6

Jessie has some chickens and rabbits. There are 30 heads and 76 legs in all. How many chickens

does Jessie have and how many rabbits does Jessie have?

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Answers (1)
  1. 7 July, 08:57
    0
    8 rabbits

    22 chickens

    Step-by-step explanation:

    c = chickens

    r = rabbits

    heads - c + r = 30

    legs - 2c + 4r = 76

    We can now use these two equations to create one by isolating the variable (c) in the first equation.

    c = 30 - r

    2c + 4r = 76

    2 (30 - r) + 4r = 76

    60 - 2r + 4r = 76

    2r = 16

    r = 8

    Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.
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