Question

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?

Answer 1

• N=18n; {n∈Naturals ∨ n≥2}

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}