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JAMB Mathematics 2021 Paper

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Question : 12

Total: 40

Three children shared a basket of mangoes in such a way that the first child took

\frac{1}{4}

of the mangoes and the second

\frac{3}{4}

of the remainder. What fraction of the mangoes did the third child take?

$\frac{3}{16}$
$\frac{7}{16}$
$\frac{9}{16}$
$\frac{13}{16}$

Solution:

You can use any whole numbers (eg. 1. 2. 3) to represent all the mangoes in the basket.

If the first child takes

\frac{1}{4}

it will remain 1 -

\frac{1}{4}

=

\frac{3}{4}

Next, the second child takes

\frac{3}{4}

of the remainder

which is

\frac{3}{4}

i.e. find

\frac{3}{4}

of

\frac{3}{4}

=

\frac{3}{4}

x

\frac{3}{4}

=

\frac{9}{16}

the fraction remaining now =

\frac{3}{4}

-

\frac{9}{16}

=

\frac{12 - 9}{16}

=

\frac{3}{16}

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