Bogacz, John
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- Problem of the Week #7
- State Standards
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POW #5 Notes
To answer this problem,think of working "backawrds." Think of what the previous pile of coconutes must have had in it. You are basically making a 2/3rd pile, a 1/3 pile and one additional unit (1 coconut) three times. Say that you found a pile of 4 coconuts, You could throw one to the monkeys, and divide the remaining pile of 3 into 2/3 (2) and into 1/3 (1).
Now think, if you found a pile of four, what did the previous pile (from which it came) look like?