Question

If $a:b=3:8$, find the value of $\frac{4a+3b}{6a-b}$.

• A. $18:5$
• B. $19:5$
• C. $17:5$
• D. $16:5$

Answer 1

The correct option is A $18:5$

Let $a:b=3:8$
⇒ if $a=3x$, then $b=8x$;
and $\frac{4\times 3x+3\times 8x}{6\times 3x-8x}$
$=\frac{12x+24x}{18x-8x}$
$=\frac{36x}{10x}$
$=18:5$