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Algebra

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In a pet store there are 4 more cats than dogs and the ratio of cats to dogs is 12 to 9.What is the total number of cats and dogs in the pet store?

  • Algebra - ,

    let the number of cats be 12x
    let the number of dogs be 9x

    12x - 9x = 4
    3x=4
    x = 4/3

    number of cats = 12x = 12(4/3) = 16
    number of dogs = 9(4/3) = 12
    for a total of 28 cats and dogs.

    check:
    16:12 = 4:3 or the given 12:9
    cats - dogs = 16-12 = 4 , thus 4 more cats than dogs

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