If $\dfrac{x}{y} = \dfrac{3}{4}$ and $\dfrac{y}{z} = \dfrac{8}{5}$, what is the value of $\dfrac{x}{z}$?
A$\dfrac{6}{5}$
B$\dfrac{15}{8}$
C$\dfrac{15}{32}$
D$\dfrac{32}{15}$
Answer & Solution
Correct answer: A. $\dfrac{6}{5}$
$\dfrac{x}{z} = \dfrac{x}{y} \cdot \dfrac{y}{z} = \dfrac{3}{4} \cdot \dfrac{8}{5} = \dfrac{24}{20} = \dfrac{6}{5}$.
- Trap A inverts incorrectly.
- Trap D returns $z/x$.
Chain of ratios is multiplicative.
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