Seedcake

Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?

Correct result:

n =  25

Solution:

x=100=2252 44=2211 GCD(100,44)=22=4  n=100x=1004=25x = 100 = 2^2 \cdot 5^2 \ \\ 44 = 2^2 \cdot 11 \ \\ \text{GCD}(100, 44) = 2^2 = 4 \ \\ \ \\ n = \dfrac{ 100}{ x} = \dfrac{ 100}{ 4 } = 25



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