Question

If $x:y=5:4$ and $2:x=3:8$, find the value of $y$.

Answer 1

$\frac{2}{x}=\frac{3}{8}$

$\Rightarrow x=\frac{16}{3}$;

$\frac{x}{y}=\frac{5}{4}$

$\Rightarrow y=\frac{4x}{5}$

$\Rightarrow y=\frac{4}{5}\times \frac{16}{3}=\frac{64}{15}$

$\Rightarrow y=\frac{64}{15}$.