Vacation class children

The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children?

Final Answer:

n =  24

Step-by-step explanation:

$$\begin{gathered} m=10 \\ m=5/8\cdot r \\ r=2/3\cdot n \\ 10=5/8\cdot r \\ 5r=80 \\ 2n-3r=0 \\ Pivot:Row1\leftrightarrow Row2 \\ r=\frac{80}{5}=16 \\ n=\frac{0+3r}{2}=\frac{0+3\cdot 16}{2}=24 \\ n=24 \\ r=16 \end{gathered}$$

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