# Free notebooks were distributed equally among children. The number of notebooks each child got was one-eighth of the number of children. Had the numbe

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Free notebooks were distributed equally among children. 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 each. How many notebooks were distributed in total ?
1. 32
2. 128
3. 512
4. 256

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Correct Answer - Option 3 : 512

Given:

If number of child half then number of notebooks have each child = 16

Formula used:

If a : b :: c : d

then a × d = b × c

Calculation:

Let the number of children of the class be x

Then, number of notebooks each child will get = x/8

If the number of children were x/2

Number of notebooks each child will get = 16

Now, According to the question

Total number of notebook is constant

So, (x/2) × 16 = x × (x/8)

⇒ x = 64

So, total number of notebooks = 64 × 8

⇒ 512

∴ Total number of notebooks were distributed is 512.