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357 logic/weighing/box.p




Description

This article is from the Puzzles FAQ, by Chris Cole chris@questrel.questrel.com and Matthew Daly mwdaly@pobox.com with numerous contributions by others.

357 logic/weighing/box.p


You have ten boxes; each contains nine balls. The balls in one box
weigh 0.9 kg; the rest weigh 1.0 kg. You have one weighing on an
accurate scale to find the box containing the light balls. How do you
do it?

logic/weighing/box.s

Number the boxes 0-9. Take 0 balls from box 0, 1 ball from box 1, 2
balls from box 2, etc. Now weigh all those balls and follow this
table:

If odd box is	Weight is
0		45 kg
1		44.9 kg
2		44.8 kg
3		44.7 kg
4		44.6 kg
5		44.5 kg
6		44.4 kg
7		44.3 kg
8		44.2 kg
9		44.1 kg

 

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