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Back to Class Notes (M326)

The Beaker Problem

1. a) Find gcd(10,33) and m and n such that : ma + nb = gcd(10,33)

    b) Suppose that you have two unmarked beakers that will hold exactly 10 cc and 33 cc respectively.  Describe how you would measure out exactly 1cc of liquid using only the two beakers.

   c) Suppose you have two unmarked beakers that will hold exactly 10 cc and 48 cc respectively.  Can you measure out exactly 1 cc of liquid using the 2 beakers?  How about 2 cc? or 4cc?