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18 June, 00:49

The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet?

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  1. 18 June, 02:31
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    N=18n; {n∈Naturals ∨ n≥2}

    Step-by-step explanation:

    if the ratio is 9:4:5

    shirts=9n dresses=4n jackets=5n

    where n is a natural number

    we know also that dresses >7, so:

    4n>7⇒n≥2

    Finally, the total number of clothing is:

    N=9n+4n+5n=18n {n∈Naturals ∨ n≥2}
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