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If 20% of employees are women with fair hair and 40% of fair-haired employees are women, what percent of employees have fair hair?
A. 25
B. 30
C. 50
D. 55
E. 60
A. 25
B. 30
C. 50
D. 55
E. 60
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Official Solution:
If 20% of employees are women with fair hair and 40% of fair-haired employees are women, what percent of employees have fair hair?
A. 25
B. 30
C. 45
D. 50
E. 60
Let's break it down:
1. 20% of the employees are fair-haired women.
2. Among those with fair hair, 40% are women.
From the information:
Fair-Haired Women = 0.2 x Total Employees = 0.4 x Fair-Haired Employees.
Dividing 0.2 x Total Employees = 0.4 x Fair-Haired Employees by 0.4, we get 0.5 x Total Employees = Fair-Haired Employees.
Therefore, Fair-Haired Employees make up 50% of the total employees.
Answer: D
If 20% of employees are women with fair hair and 40% of fair-haired employees are women, what percent of employees have fair hair?
A. 25
B. 30
C. 45
D. 50
E. 60
Let's break it down:
1. 20% of the employees are fair-haired women.
2. Among those with fair hair, 40% are women.
From the information:
Fair-Haired Women = 0.2 x Total Employees = 0.4 x Fair-Haired Employees.
Dividing 0.2 x Total Employees = 0.4 x Fair-Haired Employees by 0.4, we get 0.5 x Total Employees = Fair-Haired Employees.
Therefore, Fair-Haired Employees make up 50% of the total employees.
Answer: D
General Discussion
15 Mar 2011, 18:23
Kudos
Bookmarks
I came up with (C) 50
Think of 100 people total:
From the first fact, 20 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)*20 equals the number of fair haired men, which is 30 men with fair hair.
Add this 30 to the 20 women and get 50 fair haired men and women out of 100 total men and women.
50%
Think of 100 people total:
From the first fact, 20 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)*20 equals the number of fair haired men, which is 30 men with fair hair.
Add this 30 to the 20 women and get 50 fair haired men and women out of 100 total men and women.
50%
