Question

Given that 5x/2 = 3y/10, calculate the ratio 3x:y

Answer 1

9:25

Solution:

$\frac{5x}{2} = \frac{3y}{10} \\ 5x = \frac{3y}{5} \\ 25x = 3y \\ x = \frac{3}{25}y$

Required ratio

$3x:y \\ = \frac{3x}{y} \\ = \frac{3 \times \frac{3}{25}y }{y} \\ = \frac{9}{25} \\ = 9:25$