Question

If $x:y=4:7,$ find the value of ($3x+2y$ ) : ( $5x+y$ )

Answer 1

Given, $x:y=4:7⟹\frac{x}{y}=\frac{4}{7}$

$\frac{3x+2y}{5x+y}=\frac{3(\frac{x}{y})+2}{5(\frac{x}{y})+1}=\frac{\frac{12}{7}+2}{\frac{20}{7}+1}=\frac{26}{27}$