Question

$$30 \times \frac{ 50 }{ 100 } +V- \frac{ 80 }{ 100 } =(30+V)- \frac{ 60 }{ 100 }$$

Answer

[No Solution]

Solution


Remove parentheses.
\[30\times \frac{50}{100}+V-\frac{80}{100}=30+V-\frac{60}{100}\]
Cancel \(V\) on both sides.
\[30\times \frac{50}{100}-\frac{80}{100}=30-\frac{60}{100}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{30\times 50}{100}-\frac{80}{100}=30-\frac{60}{100}\]
Simplify  \(30\times 50\)  to  \(1500\).
\[\frac{1500}{100}-\frac{80}{100}=30-\frac{60}{100}\]
Simplify  \(\frac{1500}{100}\)  to  \(15\).
\[15-\frac{80}{100}=30-\frac{60}{100}\]
Simplify  \(\frac{80}{100}\)  to  \(\frac{4}{5}\).
\[15-\frac{4}{5}=30-\frac{60}{100}\]
Simplify  \(\frac{60}{100}\)  to  \(\frac{3}{5}\).
\[15-\frac{4}{5}=30-\frac{3}{5}\]
Simplify  \(15-\frac{4}{5}\)  to  \(\frac{71}{5}\).
\[\frac{71}{5}=30-\frac{3}{5}\]
Simplify  \(30-\frac{3}{5}\)  to  \(\frac{147}{5}\).
\[\frac{71}{5}=\frac{147}{5}\]
Since \(\frac{71}{5}=\frac{147}{5}\) is false, there is no solution.
No Solution