Question on: JAMB Mathematics - 1990
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?
A
\(\frac{3}{16}\)
B
\(\frac{7}{16}\)
C
\(\frac{9}{16}\)
D
\(\frac{13}{16}\)
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Correct Option: A
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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