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JAMB Mathematics 2024 Paper

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Question : 6

Total: 50

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?

2
5
7
8

Solution:

Concept:

Find the existing number of men and women, then set up an equation using the new ratio.

Explanation:

Total members =

20

and men:women =

3:1

.

Men =

\frac{3}{4} \times 20 = 15

.

Women =

\frac{1}{4} \times 20 = 5

.

Let

x

be the number of women to be added.

Then women become

5 + x

while men remain

15

.

New ratio is

3:2

, so

\frac{15}{5+x} = \frac{3}{2}

.

Cross-multiply:

15 \times 2 = 3(5+x)

.

This gives

30 = 15 + 3x

.

So

3x = 15

and

x = 5

.

Answer:

5

women must be added. Option B.

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