30% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair? Choose the correct choice from the following answers
A) 25
B) 30
C) 50
D) 55
E) 75
I came up with (E) 75   Think of 100 people total:   From the first fact, 30 of these are women with fair hair.   From the second fact, these 20 women make up 40% of the total fair haired population.   We can then make a ratio of 60:40 fair haired men to fair haired women.   This means that (60/40)*30 equals the number of fair haired men, which is 45 men with fair hair.   Add this 45 to the 30 women and get 75 fair haired men and women out of 100 total men and women.   75%   75
<result>E</result>
30% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?