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?

Question

Mathematics

Jane Mahoney

30 October, 10:27

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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Answers (1)

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Alyvia Suarez · Answer 1

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}