The ratio of $w$ to $x$ is $4:3$, of $y$ to $z$ is $3:2$ and of $z$ to $x$ is $1:6$. What is the ratio of $w$ to $y$?
$\text{(A) } 1:3\quad \text{(B) } 16:3\quad \text{(C) } 20:3\quad \text{(D) } 27:4\quad \text{(E) } 12:1$
$\fbox{B}$
Converting from ratios to fractions
$\frac{w}{x}=\frac{4}{3}$,
$\frac{y}{z}=\frac{3}{2}$,
$\frac{z}{x}=\frac{1}{6}$

$\frac{y}{z} \cdot \frac{z}{x} = \frac{3}{2} \cdot \frac{1}{6}$
$\frac{y}{x} = \frac{1}{4}$
$\frac{(\frac{w}{x})}{(\frac{y}{x})}=\frac{\frac{4}{3}}{\frac{1}{4}}$
$\frac{w}{y} = \frac{16}{3}$
$w$ to $y$ is $16:3$