Word Problem - what percent of the women who apply are hired?

Question

At a certain factory, twice as many men as women apply for work. If 5% of the people who apply are hired and 3% of the men who apply are hired, what percent of the women who apply are hired?

Answer 1

Work through these:

• Total number applied: $x$
• Number of men applied: $m(x)$
• Number of women applied: $w(x)$
• Total number hired: $h(x)$
• Total number of women hired: $h_w(x)$
• Total number of men hired: $h_m(x)$

Answer 2

Two thirds are men of which $3\%$ apply and hired, that makes $2\%$ of all. As $5\%$ are hired this leaves $3\%$ of all which are women and hired. Hence the percentage of women getting hired is $\frac{3\%}{1/3}=9\%$.

Answer 3

$$300\%\cdot5\%=15\%\\15\%-6\%=9\%$$ 9% of women are hired. All I did was convert total population into women popultation equivalents. Then did the math in those.