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The ratio of the number of men to the number of women in a 2...

The ratio of the number of men to the number of women in a 20 member committee is 3:1. How many women must be added to the 20-member committee so as to make the ratio of men to women 3:2?

A.

2

B.

3

C.

7

D.

9

Correct answer is B

20 members in the ratio 3:1

Number of women = 14×20

= 5

Let the number of women to be added = x

Total number of members in the committee = 20 + x

5+x20+x=25

5(5+x)=2(20+x)

25+5x=40+2x5x2x=4025

3x=15x=5