Question

If 3A = 6B = 8C, then what is A : B : C ?

• A. $\frac{1}{6}:\frac{1}{3}:\frac{1}{8}$
• B. $\frac{1}{8}:\frac{1}{6}:\frac{1}{3}$
• C. $\frac{1}{3}:\frac{1}{8}:\frac{1}{6}$
• D. $\frac{1}{3}:\frac{1}{6}:\frac{1}{8}$

Answer 1

The correct option is D $\frac{1}{3}:\frac{1}{6}:\frac{1}{8}$

Let, 3A = 6B = 8C = x

$\therefore$ 3A = x
$\Rightarrow$ A =$\frac{x}{3}$

6B = x
$\Rightarrow$ B =$\frac{x}{6}$

8C = x
$\Rightarrow$ C =$\frac{x}{8}$

So, A : B : C = $\frac{x}{3}:\frac{x}{6}:\frac{x}{8}$

or, A : B : C = $\frac{1}{3}:\frac{1}{6}:\frac{1}{8}$