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Mathematics NULL Medium
Question

Notebooks were shared equally among children. Each child got one-eighth as many notebooks as there were children. If there had been half as many children, each would have got 16 notebooks. How many notebooks were distributed in total?

A
256
B
432
C
512
✓ Official correct answer
D
640

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A
256
Official option

No member explanations yet for this option.

B
432
Official option

No member explanations yet for this option.

C
512
Official option

No member explanations yet for this option.

D
640
Official option

No member explanations yet for this option.

Explanation

Let n = number of children. Total = n × (n/8) = n²/8. Also total = (n/2) × 16 = 8n. So n²/8 = 8n → n = 64. Total = 64²/8 = 512.

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