8 coins represent 10% of her collection
To find how many coins represent 100%, we can use the next proportion:
[tex]\frac{8\text{ coins}}{x\text{ coins}}=\frac{10\text{ \%}}{100\text{ \%}}[/tex]
Solving for x:
[tex]\begin{gathered} 8\cdot100=10\cdot x \\ \frac{800}{10}=x \\ 80=x \end{gathered}[/tex]
There are 80 coins in her collection
Completing the diagram:
