Question

If $\frac{p}{q}=\frac{6}{5}$ find the value of the following ratio: $\frac{5p-6q}{3p+4q}$

• A. 0
• B. $\frac{9}{5}$
• C. $\frac{2}{7}$
• D. $\frac{4}{5}$

Answer 1

The correct option is A 0

Given that,

$\frac{p}{q}=\frac{6}{5}$

$\therefore p=6xandq=5x$

$\frac{5p-6q}{3p+4q}=\frac{5\left(6x\right)-6\left(5x\right)}{3\left(6x\right)+4\left(5x\right)}$

$=\frac{0}{38x}$

$=0$

$\therefore \frac{5p-6q}{3p+4q}=0$