In a school, there are 160 people working, of which 25% are women. How many women must be hired so that 40% of the staff are women?

1. Problem Description

In a school, there are 160 people working, of which 25% are women. How many women must be hired so that 40% of the staff are women?

2. Solution Steps

First, calculate the number of women currently working at the school. This is 25% of

1

6

0. $Women_{initial} = 0.25 * 160 = 40$

Let $x$ be the number of women that need to be hired. After hiring these $x$ women, the total number of women will be $40 + x$. The total number of employees will also increase to $160 + x$. The problem states that the percentage of women after hiring should be 40%. So,

$\frac{40 + x}{160 + x} = 0.40$

Multiply both sides by $(160 + x)$:

$40 + x = 0.40(160 + x)$

$40 + x = 64 + 0.4x$

$x - 0.4x = 64 - 40$

$0.6x = 24$

$x = \frac{24}{0.6} = \frac{240}{6} = 40$

3. Final Answer

The number of women that must be hired is

4

0. So, the answer is E)

4

0.