Question

In a society, 75%​ of the members are women. 75%​ of the men are senior citizens. $75​ men are the non-senior citizens. How many women are there in the society?

Answer 1

Answer:

1200

Step-by-step explanation:

Let the number of people in the society be x.

75% of x are women

⇒$\frac{75}{100}x$ are women

$\frac{3}{4}x$ are women

This means that $\frac{1}{4}x$ are men.

Now, 75% of this are senior citizens. This means that 25% are non-senior citizens.

25% of $\frac{1}{4}x$ are non-senior citizen men

⇒25% of $\frac{1}{4}x$  = 75

$\frac{25}{100}$ of $\frac{1}{4}x$ = 75

$\frac{1}{4}.\frac{1}{4}x = 75$

$\frac{1}{16}x = 75$

$x = 75$ x 16

$x = 1200$

Hope this helps