Option C.
Step-by-step explanation:
Let the total number of men in the library is x and total number of women is y.
As per statement, " ratio of men to women is 3 : 1"
That means ![\frac{x}{y}=\frac{3}{1}](/tpl/images/0205/1186/18a7a.png)
or x = 3y
Now we add 3x on both the sides of the equation
x + 3x = 3y + 3x
4x = 3(x + y)
x = ![\frac{3}{4}(x+y)](/tpl/images/0205/1186/bd313.png)
= ![\frac{3}{4}(\text{total members in the library})](/tpl/images/0205/1186/09996.png)
Therefore,
of the members are men.
Option C will be the answer.