A drawer contains both shirts and shorts. The ratio of shirts to shorts is 4:1

A: What is the ratio of shirts to the total number of clothing?
B: What is the ratio of shorts to the total number of clothing?

Respuesta :

Let x =  number of shirts.
Let y = number of shorts.

The ratio of shirts to shorts is 4:1, therefore
x/y = 4          (1)
Therefore
y/x = 1/4       (2)

The total number of clothing is (x + y).

A. 
The ratio of shirts to the total number of clothing is
[tex] \frac{x}{x+y} \\= \frac{x/y}{x/y+1} \\ = \frac{4}{4+1} \\ = \frac{4}{5} [/tex]
Answer: 4/5

B.
The ratio of shorts to the total number of clothing is
[tex] \frac{y}{x+y} \\ = \frac{1}{x/y+1} \\ = \frac{1}{4+1} \\ = \frac{1}{5} [/tex]
Answer: 1/5