Question

If $x:y=5:2$ and $y:z=3:2$, what is the ratio of $x:z$?

• A. $3:1$
• B. $3:5$
• C. $5:3$
• D. $8:4$
• E. $15:4$

Answer 1

Answer: (E)

$15:4$

We have, $x:y=5:2$ and $y:z=3:2$,

$\Rightarrow \frac{x}{y}=\frac{5}{2}$ and $\frac{y}{z}=\frac{3}{2}$

Now multiply both

$\Rightarrow \frac{x}{y}\cdot \frac{y}{z}=\frac{5}{2}\cdot \frac{3}{2}$

$\Rightarrow \frac{x}{z}=\frac{15}{4}$, simplify

$\therefore x:z=15:4$