Florist

Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses?

Result

x =  12

Solution:

84=2237 48=243 GCD(84,48)=223=12 n=12 K=84/12+48/12=7+484 = 2^2 \cdot 3 \cdot 7 \ \\ 48 = 2^4 \cdot 3 \ \\ \text{GCD}(84, 48) = 2^2 \cdot 3 = 12 \ \\ n=12 \ \\ K = 84/12+ 48/12 = 7+4



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