Question

In $\frac{2}{3}p-2\frac{1}{2}=3\frac{1}{2}$, the value of $p$ is _______ .

• A. $-9$
• B. $6$
• C. $9$
• D. $0$

Answer 1

The correct option is C $9$

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

$\Rightarrow$ $\frac{2}{3}p=3\frac{1}{2}+2\frac{1}{2}$

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

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

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

$\therefore$ $p=9$