The Marbles Puzzle.

The Marbles Puzzle.

Posers and Puzzles

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K

Joined
11 Feb 04
Moves
6480
05 Mar 05

There are fifty bags of marbles. Each bag contains 100 marbles. In 49 of the bags, each marble weighs 1 gram. In one of the bags, each marble weighs 1.01 grams. You are allowed to make one weighing on a set of digital scales, accurate to the nearest hundredth of a gram. How do you determine which bag contains the heavier marbles???

DMG

Joined
28 Jan 05
Moves
1392
05 Mar 05

I don't know. Wat's da ans.

T

Joined
29 Feb 04
Moves
22
05 Mar 05

For n = 1 to 50, take n marbles out of bag n, and weigh them.

The excess weight will tell you the bag number with the heavier marbles.

K

Joined
11 Feb 04
Moves
6480
05 Mar 05

Nice. Well Done - Do you want the hard one now?