Outline Mathematics
Word Problems
Half an egg wonder
At first sight, this ancient problem may seem incongruous as it involves half an egg. But do try to solve it:
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A peasant woman came to a market to sell some eggs. A first buyer took half her eggs plus 1/2 an egg. The same happened with the remaining eggs: a second buyer buyer took half her eggs plus 1/2 an egg. A third only bought what was left over: 1 egg.
How many eggs were there initially?
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Solution

Copyright © 1996-2010 Alexander Bogomolny
Solution
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A peasant woman came to a market to sell some eggs. A first buyer took half her eggs plus 1/2 an egg. The same happened with the remaining eggs: a second buyer buyer took half her eggs plus 1/2 an egg. A third only bought what was left over: 1 egg.
How many eggs were there initially?
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(In the applet below, click on the underlined omitted expressions. See what happens.)
References
- Ya. I. Perelman, Fun With Maths and Physics, Mir Publishers, 1988

Copyright © 1996-2010 Alexander Bogomolny
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