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The Beanfeast Puzzle

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

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A number of men went out together on a bean-feast. There were four parties invited--namely, 25 cobblers, 20 tailors, 18 hatters, and 12 glovers. They spent altogether £6, 13s. It was found that five cobblers spent as much as four tailors; that twelve tailors spent as much as nine hatters; and that six hatters spent as much as eight glovers. The puzzle is to find out how much each of the four parties spent.

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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