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 - 2021 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?

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 14 1 4  it will remain 1 - 14 1 4  = 34 3 4

Next, the second child takes 34 3 4  of the remainder

which is 34 3 4  i.e. find 34 3 4  of 34 3 4

= 34 3 4  x 34 3 4

= 916 9 16

the fraction remaining now = 34 3 4  - 916 9 16

= 12−916 12 − 9 16

= 316

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