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JAMB Mathematics 2021 Paper

Question : 15

Total: 40

\frac{1}{3}

\frac{2}{3}

Solution:

Concept:

Use fractions of the total profit and the remainder to find the full amount shared.

Explanation:

Let the total profit be

T

First brother receives

\frac{1}{3}T

Remaining profit is

1 - \frac{1}{3} = \frac{2}{3}T

Second brother receives

\frac{2}{3}

of the remainder:

\frac{2}{3} \times \frac{2}{3}T = \frac{4}{9}T

Third brother receives the leftover profit:

\frac{2}{3}T - \frac{4}{9}T = \frac{6}{9}T - \frac{4}{9}T = \frac{2}{9}T

This leftover equals N12000, so

\frac{2}{9}T = 12000

Multiply both sides by

\frac{9}{2}

T = 12000 \times \frac{9}{2} = 54000

Answer:

N54,000.00 (Option B).

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