School books

At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom?

Correct answer:

n =  20

Step-by-step explanation:

$$\begin{gathered} 10<n<40 \\ 480=2^5\cdot 3\cdot 5 \\ 220=2^2\cdot 5\cdot 11 \\ \text{GCD}(480,220)=2^2\cdot 5=20 \\ n=GCD(480,220)=20 \\ s=480\mathrm{/}n=480\mathrm{/}20=24 \\ u=220\mathrm{/}n=220\mathrm{/}20=11 \\ n=20 \end{gathered}$$

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