Question

Simplification of $\frac{(p+a)}{5}=3p$ yields

• A. $12\times \frac{p}{a}=5$
• B. $a=\frac{p}{5}$
• C. $a=14p$
• D. $a=15p$

Answer 1

The correct option is C $a=14p$

$\frac{(p+a)}{5}=3p$
$\Rightarrow \frac{p}{5}+\frac{a}{5}=3p$

[Using distributive law $a(b+c)=(a\times b)+(a\times c)$]

$\Rightarrow \frac{a}{5}=3p-\frac{p}{5}$
$\Rightarrow \frac{a}{5}=(3-\frac{1}{5})p$
$\Rightarrow \frac{a}{5}=\left(\frac{14}{5}\right)p$
$\Rightarrow a=14p$