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Drinking Dwarfs (Posted on 2013-10-23) Difficulty: 3 of 5
Seven dwarfs are sitting at a round table.
Each has a cup, and some cups contain milk.
Each dwarf in turn pours all his milk into the other six cups, dividing it equally among them.

After the seventh dwarf has done this, they find that each cup again contains its initial quantity of milk.

How much milk does each cup contain, if there were 42 ounces of milk altogether?

Source: 1977 All Soviet Union Math Olympiad Problem

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
Some Thoughtsre(3): solution (Two for the price of one.) (spoiler)Ady TZIDON2013-10-24 09:35:56
re(2): solution (Two for the price of one.) (spoiler)broll2013-10-24 07:27:49
Hints/Tipsre: solution (Two for the price of one.) (spoiler)Ady TZIDON2013-10-24 01:43:42
Solutionsolution (Two for the price of one.) (spoiler)broll2013-10-24 01:22:09
Hints/Tipsre: towards a solutionAdy TZIDON2013-10-23 20:08:37
Hints/Tipstowards a solutionCharlie2013-10-23 14:55:44
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