If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?
A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9
I approached it like this:
If W = total number of women employed in the Company X, and
if M = total number of men employed in the Company X, we are given
(3/4)W = (2/3)M
(or) in other words, 9W = 8M
(or) in other words, M = (9/8)W
Proportion of Women in the Total Employees of Company X = W / (W+M)
Substituting
...
A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9
I approached it like this:
If W = total number of women employed in the Company X, and
if M = total number of men employed in the Company X, we are given
(3/4)W = (2/3)M
(or) in other words, 9W = 8M
(or) in other words, M = (9/8)W
Proportion of Women in the Total Employees of Company X = W / (W+M)
Substituting
...
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