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})
Correct Answer: Option A
Explanation
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})