Question

One-third of a storeâs inventory is childrenâs clothing. Two-fifths of its inventory is womenâs clothing. What fraction of the total inventory is childrenâs or womenâs clothing?

A. 2/15
B. 3/8
C. 11/15
D. 8/15

Answer 1

Answer: C. 11/15

Explanation:

Given : The fraction of stores inventory is children's clothing=
`(1)/(3)`

The fraction of stores inventory is women's clothing=
`(2)/(5)`

Since both events are independent.

Therefore, the fraction of the total inventory is children's or women's clothing = (Fraction of stores inventory is children's clothing ) + (Fraction of stores inventory is women's clothing )

`=(1)/(3)+(2)/(5)=(5+2(3))/(15)`

`=(11)/(15)`

∴ The fraction of the total inventory is children's or women's clothing
`=(11)/(15)`

Hence, the correct answer is C. 11/15 .