Question

$5(p-q)+8=7$

Given the equation above, what is the value of $q-p$ ?

• A. $\frac{1}{5}$
• B. $-\frac{1}{5}$
• C. $-5$
• D. $\frac{75}{5}$

Answer 1

The correct option is A $\frac{1}{5}$

First we notice the desired quantity (p - q) on the L.H.S of the equation. We solve for this expression by subtracting 8 from both sides :

$5(p-q)+8-8=7-8$

$5(p-q)=-1$

Next dividing both side by 5

$5(p-q)=-1$

$(p-q)=-\frac{1}{5}$

Therefore, the value of (q - p) $=\frac{1}{5}$