At a certain university, 60% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured or both, then what percent of the men are tenured?
the 2 statement implies that 40% r tenured hence 30% of the men are tenured of total 40% professors ans 75%
As 60% of professors are women, men = 40%
90% professors are either women or tenured or both
Since we have a total of 60% women this leaves us with 90% – 60% = 30% who are tenured but not women, i.e. tenured men.
Since we have a total of 40 men and 30 are tenured, there must be 10 who are not.
Therefore answer = 30% / 40% = 75%
Women = 60% . Hence, men = 40% Now, 90% are women, tenured or both. This says that, 90% contains women who are tenured or not tenured and men who are tenured too. Therefore, the rest 10% is men who are not tenured. Now, fill in the table and get the answer.
30 / 40 * 100 = 75%
Post Comments