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

Step-by-step explanation:

Given : The fraction of stores inventory is children's clothing=$\dfrac{1}{3}$

The fraction of stores inventory is women's clothing=$\dfrac{2}{5}$

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 )

$=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+2(3)}{15}$

$=\dfrac{11}{15}$

∴ The fraction of the total inventory is children's or women's clothing $=\dfrac{11}{15}$

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