Given the expression
6500 is 7/10 of a number, let the number be k
The expression is
[tex]\frac{7}{10}\text{ of k}=6500[/tex]Solve for k by crossmultiplying
[tex]\begin{gathered} \frac{7}{10}\text{ of k}=6500 \\ \frac{7}{10}\times k=6500 \\ \frac{7k}{10}=6500 \\ \text{Crossmultiply} \\ 7k=6500\times10 \\ 7k=65000 \\ \text{Divide both sides by 7} \\ \frac{7k}{7}=\frac{65000}{7} \\ k=9285\frac{5}{7} \end{gathered}[/tex]Hence, the number, k, is
[tex]9285\frac{5}{7}[/tex]
