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March 27, 2015

March 27, 2015

Posted by **Linda** on Monday, October 24, 2011 at 11:47pm.

- Math -
**Steve**, Tuesday, October 25, 2011 at 5:05amLet Billy have n pieces of candy. Tallying up all the thefts, we get

After Freddy, Billy has n - (n/2 + 1) = n/2 - 1

After Shark, Billy has n/2 - 1 - (n/2 - 1)/2 - 2 = n/4 - 5/2

After Turtle, Billy has n/4 - 5/2 - (n/4 - 5/2)/2 - 3 = n/8 - 17/4

n/8 - 17/4 = 5

n - 34 = 40

n = 74

Billy had 74 pieces

So, Freddy took 37+1 leaving 36

Shark took 18+2 leaving 16

Turtle took 8+3 leaving 5

working from the other end,

n = 2(2(2(5+3)+2)+1) = 74

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