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Three children shared a basket of mangoes in su... - JAMB Mathematics 1990 Question

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
\(\frac{13}{16}\)
Ask EduPadi AI...
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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