1) If $x:y=3:4$, find $(4x+5y):(5x-2y)$. A) $\frac{32}{7}$ B) $\frac{7}{42}$ C) $\frac{33}{2}$ D) $\frac{1}{12}$ E) $\frac{2}{7}$ Answer: Option AExplanation:$\frac{x}{y}=\frac{4}{3}$ $\Rightarrow \frac{4x+5y}{5x-2y}$ $\frac{4\frac{x}{y}+5}{5\frac{x}{y}-2} $ $=\frac{4\times\frac{3}{4} +5} {5\times\frac{3}{4} -2} $ $ = \frac{3+5}{\left(\frac{7}{4}\right)}$ $=\frac{32}{7}$
