Question

If $\frac{2}{3}p-2\frac{1}{2}=3\frac{1}{2}$, then the value of $p$ is

• A. $-9$
• B. $6$
• C. $9$
• D. $0$

Answer 1

Answer: (C)

$9$

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

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

$\Rightarrow \frac{2}{3}p=\frac{7}{2}+\frac{5}{2}=\frac{12}{2}=6$

$\Rightarrow 2p=6\cdot 3$

$\Rightarrow p=\frac{6\times 3}{2}=9$
Hence, the solution is $p=9$.