SOLUTION: Matthew makes 33 cookies and gives each friend the same number of cookies. Matthew, being selfless, takes two for himself assuming all the cookies are given out how many friends d

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Question 1047263: Matthew makes 33 cookies and gives each friend the same number of cookies. Matthew, being selfless, takes two for himself assuming all the cookies are given out how many friends does Matthew have ?
Answer by solver91311(24713) About Me  (Show Source):
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If he keeps two for himself, then he has 31 left to distribute evenly. Since 31 is prime he either has 1 friend that gets 31 cookies or 31 friends who each get 1 cookie.

John

My calculator said it, I believe it, that settles it