While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way out, he met the three watchmen one after another, and to each in turn he gave half the apples he had. In this way, he managed to escape with one apple. How many had he stolen originally?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
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While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way out, he met the three watchmen one after another, and to each in turn he gave half the apples he had. In this way, he managed to escape with one apple. How many had he stolen originally?

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