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28 April, 22:43

A certain pet store has only cats and dogs. the ratio of the number of cats to the number of dogs in the pet store is 2:3. 1/4 of the cats and 1/2 of the dogs wear collars. if 48 animals wear collars, what is the total number of animals in the pet store?

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Answers (2)
  1. 29 April, 00:58
    0
    The first thing we must do for this case is to define variables.

    We have then:

    x: number of cats

    y: number of dogs

    We write the system of equations:

    x / y = 2/3

    (1/4) x + (1/2) y = 48

    Solving the system we have:

    x = 48

    y = 72

    The total number of animals is:

    x + y = 48 + 72 = 120

    Answer:

    The total number of animals in the pet store is:

    120
  2. 29 April, 02:15
    0
    The answer of this question is 120.
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