Your favorite candy bar maker is having a special - ten candy bar wrappers gets you a free candy bar. What fraction of a bar is each wrapper worth?
Answer: The intuitive answer of 1/10 is not correct. This is because the free candy bar also has a wrapper. So you are getting the free bar for only nine wrappers. Each wrapper is worth 1/9 of a bar.
Algebra:
Let w = wrapper
Let b = bar
10w = b +w
9w = b
w = b/9
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