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 r...

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

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}

Answer Details

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 = $\frac{3}{4}$ - $\frac{9}{16}$
= $\frac{12 - 9}{16}$
= $\frac{3}{16}$

Read lesson note on Number Bases (WAEC)

Number Bases

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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 r...

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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 r...

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