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Dividing a flock among three sons

Question

Three brothers inherit a flock. Alfred's share exceeds John's by 20%20\% and exceeds Charles's by 25%25\%. John receives 36003600 sheep. How many sheep go to Charles?

Short answer

3456. Alfred has 1.2×3600=43201.2\times3600=4320 sheep. Since this is 1.251.25 times Charles's share, Charles has 4320/1.25=34564320/1.25=3456.

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