Question

Solve for $p$: $\frac{p}{11}=11$

• A. 1
• B. 22
• C. 121

Answer 1

The correct option is C 121

Method 1:
$\frac{p}{11}=11$
This can be visualized as $p$ number of items is divided into 11 bins with each bin having 11 items.

$\therefore p=\text{Total number of bins}\times \text{Number of items in each bins}$
$\Rightarrow p=11\times 11$
$\Rightarrow p={11}^2$
$\Rightarrow p=121$

Method 2:
​​​​​​​We know that multiplication is the reverse operation of division.

To undo the division of 11 in left hand side we multiply both side of equation by 11.
$\frac{p}{11}=11$
$\Rightarrow 11\times \frac{p}{11}=11\times 11$
$\Rightarrow p={11}^2$
$\Rightarrow p=121$

To verify the answer, we substitute the value of p in the original equation.
$\frac{p}{11}=11$
$\Rightarrow \frac{121}{11}=11$
$\Rightarrow 11=11$
$\Rightarrow \text{Left hand side}=\text{Right hand side}$
Hence, $p=121$ is correct.