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The answers are as followed:
The sum of the top cards from the card game invlolving 6 piles of cards and 5 extra cards is 31.
The way in which the entertainer knew this was that he used the equation
(13xP) -52 +X = Sum of top cards for the given situation.
Note: P = Number of piles, and X = Number of extra cards
Alternatively, you could use this formula:
(((((12+X)/2)-X)+7)P)- (52-X)
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