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

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?

• What have you tried? – David G. Stork May 16 at 18:53
• I don't understand the question... I have been trying to solve the Word problems for days but only few i did, there are 35 WPs i need to solve. My word problem solving skill is not good. – Askani May 16 at 18:57
• Why you need from us to solve this problem? – MarianD May 16 at 18:58
• Try to write equations. For example, number of men applying is $m$, number of women applying is $w$, then $m=2w$. Continue with the other quantities – Andrei May 16 at 19:05
• Start with this: if $x$ people applied for work, how many were hired? Can you write an expression for this number? – Vasya May 16 at 19:08

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 $$\frac{3\%}{1/3}=9\%$$.

• U did it directly. I solved it through Equation: 0.03m + x(m/2) = 0.05(m+m/2) And x = 9%. – Askani May 17 at 18:32
• Right: in this case Algebra isn't needed. – Michael Hoppe May 18 at 8:11

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

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: $$h_m(x)$$

• m = number of men apply for work. m/2 = number of women apply for work. 5℅ = people hired 3% = men are hired 2% = women are hired Equation: 0.03m + 0.02(m/2) = 0.05 ......Am i correct? – Askani May 16 at 21:01
• So far yes... but you have a few more steps.... – David G. Stork May 16 at 21:21
• I did it -->> Equation: 0.03m + x(m/2) = 0.05(m+m/2) And n = 9%. Thank you 🙂. It is hard for me to understand the Question. – Askani May 17 at 17:45
• @Askani: You might find that drawing a picture helps. (See my amended solution.) – David G. Stork May 17 at 21:42