Groups

In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?

Correct result:

n =  11
d =  5

Solution:

$$\begin{gathered} d=60 \\ 60=2^2\cdot 3\cdot 5 \\ 72=2^3\cdot 3^2 \\ \text{GCD}(60,72)=2^2\cdot 3=12 \\ a=GCD(d,72)=GCD(60,72)=12 \\ n=(d+72)\mathrm{/}a=(60+72)\mathrm{/}12=11 \end{gathered}$$

$d=d\mathrm{/}a=5\mathrm{/}12=5$

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