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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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jorgezarate

Answer:

  • 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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