Henry Ernest Dudeney/Modern Puzzles/212 - A Chain Puzzle
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Modern Puzzles by Henry Ernest Dudeney: $212$
- A Chain Puzzle
- A man has $80$ links of old chain in $13$ fragments, as shown in the diagram.
- It will cost him $1 \oldpence$ to open a link and $2 \oldpence$ to weld one together again.
- What is the lowest price it must cost him to join all the pieces together so as to form an endless chain?
- A new chain will cost him $3 \shillings$ (that is, $36 \oldpence$)
- What is the cheapest method of procedure?
- Remember that the small and large links must run alternately.
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Unclassified Problems: $212$. -- A Chain Puzzle
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Unclassified Puzzles: $513$. A Chain Puzzle