[512] Free notebooks were distributed equally among children of a class. The number of notebooks each chil

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Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?

256

432

512

640

Explanation:

Let total number of children be $ x $.

Then, $ x \times \dfrac{1}{8} x $ = $\left(\dfrac{x}{2}\times 16\right)$ $\Leftrightarrow $ x = 64.

$\therefore$ Number of notebooks =$ \dfrac{1}{8} x $² =$ \left(\dfrac{1}{8} \times 64 \times 64\right)$= 512.

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