A pie II
A housewife invited several guests, and she knows that there will either be 7, 8 or 9 people at the party. She wants to slice up a big pie into smaller pieces, not necessarily of the same size, such that regardless of how many people show up, she can serve the entire pie evenly to everyone. Whole pie must be divided among the guests.
What is the minimum number of pieces she will need to slice the big pie into?
The answer is 18.
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Pieces are 3,7,9,14,16,18,23,24,25,30,31,32,38,40,42,47,49,56 gram if whole pie weights 504 gram.