Question

Find the value of $p$ if $\frac{2}{3}p-2\frac{1}{2}=3\frac{1}{2}$

Answer 1

$\frac{2}{3}p-2\frac{1}{2}=3\frac{1}{2}$

$\Rightarrow \frac{2}{3}p-\frac{5}{2}=\frac{7}{2}$

$\Rightarrow \frac{2p}{3}=\frac{7}{2}+\frac{5}{2}$

$\Rightarrow \frac{2p}{3}=\frac{7+5}{2}$

$\Rightarrow \frac{2p}{3}=\frac{12}{2}$

$\Rightarrow \frac{2p}{3}=6$

$\Rightarrow p=6\times \frac{3}{2}=9$

$\therefore p=9$