Question

$$\frac{ 12 }{ 10 } = \frac{ z }{ 25 }$$

Answer

z=30

Solution


Simplify  \(\frac{12}{10}\)  to  \(\frac{6}{5}\).
\[\frac{6}{5}=\frac{z}{25}\]
Multiply both sides by \(25\).
\[\frac{6}{5}\times 25=z\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{6\times 25}{5}=z\]
Simplify  \(6\times 25\)  to  \(150\).
\[\frac{150}{5}=z\]
Simplify  \(\frac{150}{5}\)  to  \(30\).
\[30=z\]
Switch sides.
\[z=30\]