Question

In a certain corporation, 2/3 of the employees are men and 1/3 are women. Of the men, 5/8 are college-educated and 3/8 are not. Of the women, 2/5 are college-educated and 3/5 are not. What percentage of the employees are college-educated? What percentage of the college-educated employees are women?

Answer 1

55% and 24%

Explanation:

Firstly, we need an arbitrary number to serve as the number of students.

Let the total number of students be 120.

Firstly we need college-educated percentage.

Men are two-thirds, women are one-third

Men = 2/3 * 120 = 80

Women = 1/3 * 120 = 40

5/8 of men are college educated = 5/8 * 80 = 50

2/5 of women are college educated = 2/5 * 40 = 16

Total college educated = 50+ 16 = 66

% college educated = 66/120 * 100 = 55%

Percentage of college educated that are women.

Total college educated = 66

The % is 16/66 * 100 = 24%