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Given current ratio of men to female workers is 5:4
If 2 men and 2 women are added then
5x + 4x + 4 = 94 (Given)

Hence 10 x = 90

Hence x = 10

So total men : women = 52 : 42
Hence ratio is 26 : 21 Option E
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Bunuel
The ratio of female workers to male workers at a certain factory is 5 to 4. If 2 additional men and an equal number of women are hired the total number of employees becomes 94. What is the ratio of female to male employees after the hiring?

A. 4 : 9
B. 7 : 6
C. 5 : 9
D. 27 : 22
E. 26 : 21



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Ratio of Female F : Male M = 5:4 = 5x : 4x

After hiring 2 persons per gender. 5x + 2 + 4x+2 = 9x + 4 = 94

9x = 90

x = 10

Pre Hiring:

Female : Male = 50:40

Post Hiring:

Female : Male = 52: 42 = 26 : 21.

Option E
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The ratio of female workers to male workers at a certain factory is 5 to 4. If 2 additional men and an equal number of women are hired the total number of employees becomes 94. What is the ratio of female to male employees after the hiring?
F:M= 5:4
(5x+2)+(4x+2)=94
9x=94-4
9x=90
x=10
Number of female after hiring= 5(10)+2=52
Number of male after hiring= 4(10)+2= 42
Required Ratio= 52:42= 26:21

Answer: E
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Ratio of F:M=5:4
4F=5M
2 members are added to both male and females and total members are 94.
so F+2+M+2=94
F+M=90
multiply both sides by 4
4F+4M=360
5M+4M=360
9M=360
M=40
F=5*40/4=50

After adding two members the new ratio will be 50+2/40+2 =52/42=26:21
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