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The ratio of the number of men to the number of women in a 20…

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.
    5
  • C.
    7
  • D.
    9
Correct Answer: Option B
Explanation

20 members in the ratio 3:1

Number of women = (frac{1}{4} times 20)

= 5

Let the number of women to be added = x

Total number of members in the committee = 20 + x

(frac{5 + x}{20 + x} = frac{2}{5})

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

(25 + 5x = 40 + 2x implies 5x – 2x = 40 – 25)

(3x = 15 implies x = 5)

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