A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits. They want to purchase the same number o

Question

A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?

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Trúc Chi 4 years 2021-07-25T17:51:41+00:00 1 Answers 75 views 0

Answers ( )

  1. hongcuc2
    0
    2021-07-25T17:53:02+00:00
    Reply

    For simplicity’s sake:
    D = dogs, C = cats, R = rabbits

    Since the dogs and the cats are the same number, we can say C = D.

    R = 1/4D

    2D + 1/4D = 36

    Combine like terms and get the same denominator

    9/4D = 36

    9D = 144

    D = 16

    Now we know that D is 16, so C must be 16 as well. That leaves us with 32 cages.

    36 – 32 = 4 rabbit cages. To double check this, 1/4 of 16 does equal 4.

    Final answer: 16 D, 16 C, 4 R

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