Question

In a party, the ratio of men to women is $5:3$ and there are $85$ men. How many women must be present in the party ?

• A. $37$
• B. $39$
• C. $41$
• D. $51$

Answer 1

Answer: (D)

$51$

According to the given problem, there are $5$ men for every $3$ women.
Hence, the number of men divided by the number of women must $\frac{5}{3}$. The number of men in the party were $85$.
Let $x$ be the number of women in the party.
$\therefore \frac{85}{x}=\frac{5}{3}$
$\Rightarrow x=\frac{85\times 3}{5}=17\times 3=51$
$\therefore$ number of women $=51$.