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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 ?
  • a)
    256
  • b)
    432
  • c)
    512
  • d)
    640
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Free notebooks were distributed equally among children of a class. The...
Let total number of children be x.
 Then, x x(1/8)x = (x/2)x 16     x = 64
 Number of notebooks =(1/8)x2 =(1/8)x 64 x 64= 512
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Most Upvoted Answer
Free notebooks were distributed equally among children of a class. The...
Given:
- 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.
- If the number of children were half, each child would have got 16 notebooks.

To find: Total number of notebooks distributed.

Let's assume the number of children in the class to be 'x'.
- It is given that each child got one-eighth of the total number of children. So, each child got x/8 notebooks.
- Therefore, the total number of notebooks distributed = (x * x/8) = x^2/8.

Now, let's consider the second scenario where the number of children were half, i.e., x/2.
- Each child got 16 notebooks.
- Therefore, the total number of notebooks distributed = (x/2 * 16) = 8x.

We know that the number of notebooks distributed in both scenarios is the same.
i.e., x^2/8 = 8x

Solving this equation, we get x = 64.

Substituting this value in the formula we derived earlier, we get:
Total number of notebooks distributed = x^2/8 = 64^2/8 = 512.

Therefore, the correct answer is option 'C', 512.
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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 ?a)256b)432c)512d)640e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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