The ratio of men to women in a 20-member committee is 3:1. How many women must be added to the committee to make the ratio of men to women 3:2?
The ratio of men to women = 3:1
Number of committee members = 20
number of men in the committee = \(\frac{3}{4} \times 20 = 15\)
Number of women in the committee = \(\frac{1}{4} \times 20 = 5\)
New ratio = 3:2, and let the number of women to be added to make the ratio 3:2 be x
3:2 = 15:5+x
\(\frac{3}{2} = \frac{15}{5 + x }\)
15 + 3x = 30
3x = 30 - 15 = 15
x = \(\frac{15}{3}\) = 5
Therefore, the number of women to be added to make the ratio of men to women 3:2 = 5.
There is an explanation video available below.
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