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Friday, April 28, 2006

Moving 3 piles of matches

Enrichment problem

Place three piles of matches on a table, one with 11 matches, the second with 7, and the third with 6. You are to move matches so that each pile holds 8 matches. You may add to any pile only as many matches as it already contains, and all the matches must come from one other pile. For example, if a pile holds 6 matches, you may add 6 to it, no more or less. You have 3 moves.

Source:

1 comments:

Anonymous said...

Answer:

At the beginning:
PileA 11
PileB 7
PileC 6
Move 7 matches from pileA to pileB:
PileA 4
PileB 14
PileC 6
Move 6 matches from pileB to pileC:
PileA 4
PileB 8
PileC 12
Move 4 matches from pileC to pileA:
PileA 8
PileB 8
PileC 8