Question

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

Answer

[No Solution]

Solution


Remove parentheses.
\[\frac{3050}{100}+v-\frac{80}{100}=30+v-\frac{60}{100}\]
Cancel \(v\) on both sides.
\[\frac{3050}{100}-\frac{80}{100}=30-\frac{60}{100}\]
Simplify  \(\frac{3050}{100}\)  to  \(\frac{61}{2}\).
\[\frac{61}{2}-\frac{80}{100}=30-\frac{60}{100}\]
Simplify  \(\frac{80}{100}\)  to  \(\frac{4}{5}\).
\[\frac{61}{2}-\frac{4}{5}=30-\frac{60}{100}\]
Simplify  \(\frac{60}{100}\)  to  \(\frac{3}{5}\).
\[\frac{61}{2}-\frac{4}{5}=30-\frac{3}{5}\]
Simplify  \(\frac{61}{2}-\frac{4}{5}\)  to  \(\frac{297}{10}\).
\[\frac{297}{10}=30-\frac{3}{5}\]
Simplify  \(30-\frac{3}{5}\)  to  \(\frac{147}{5}\).
\[\frac{297}{10}=\frac{147}{5}\]
Since \(\frac{297}{10}=\frac{147}{5}\) is false, there is no solution.
No Solution