The classroom

The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Determine the width of the classroom.

Correct result:

b =  7.7 m

Solution:

$$\begin{gathered} a=9\text{ m } \\ 55=5\cdot 11 \\ 70=2\cdot 5\cdot 7 \\ LCM(55,70)=2\cdot 5\cdot 7\cdot 11=770 \\ x=LCM(55,70)=770\text{ cm } \\ b<a \\ b=x\to \text{ m}=x\mathrm{/}100\text{ m}=770\mathrm{/}100\text{ m}=7.7\text{ m}={\displaystyle \frac{77}{10}}\text{ m} \end{gathered}$$

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