Singapore Math

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An animal shelter has 1008 cats, dogs and rabbits. The ratio of the number of dogs to the number of cats in the animal shelter is 3:7. The ratio of the number of rabbits to the number of dogs is 2:5. How many rabbits are there in the shelter?

  • Singapore Math -

    d/c = 3/7 so c = 7d/3
    r/d = 2/5 so d = 5r/2


    r+d+c = 1008
    r + 5r/2 + 7(5r/2)/3 = 1008
    multiply by 6 to clear fractions
    6r + 15r + 35r = 6048
    56r = 6048
    r = 108

  • Singapore Math -

    still confused

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