Question

In a park there are only men and women. $\frac{2}{3}$ of the peoples are men. What is the ratio of men to women in the park?

• A. $1:2$
• B. $2:1$
• C. $2:3$
• D. $3:2$

Answer 1

The correct option is B $2:1$

There are only men and woman in the park.

$\text{Fraction of men in the park}=\frac{2}{3}$
$\text{Fraction of women in the park}=1-\frac{2}{3}=\frac{3-2}{3}\text{Fraction of women in the park}=\frac{1}{3}$

$\therefore$ The number of men equals to 2 out of 3, so the number of women equals to 1 out of 3.

$\therefore$ Ratio of men to women in the park
$=\text{Number of men : Number of woman}$
$=2:1$