If 3 men/women apply, 1/10 of all hired, 1/20 of men hired How many women are hired?

Question

 At a certain company three times and many men as women apply.  1/10 of all applicants are hired.  1/20 of all men applicants are hired. How many women are hired?

Answer 1

Question (edited): At a certain company three times as many men as women apply. 1/10 of all applicants are hired. 1/20 of all men applicants are hired. How many women are hired?

 

If 3x men apply and x women apply, then for men
  # hired = (1/20)3x

and for women

  # hired = px where p = probability of a woman applicant being hired.

 

Total hired:  4x(1/10) = 3x(1/20) + px.   This equation can be divided by p throughout, and then

the probability p becomes 1/10.

 

Therefore Probability that a woman who applies is hired is 1/10.