Question

If 3A = 5B and 4B = 6C, then find A : C

Please solve this step by step using explaination.​

Answer 1

       $\underline{\bold{Answer:}}$

       $5:2$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{It is given that }3A = 5B \text{ and }4B = 6C\text{. We must find }A:C$

$\implies \boxed{3A = 5B}$

$\implies \boxed{\frac{3A}{5}= B} \text{ --------(i)}$

       $\text{Now substituting the value of }B \text{ from (i) into }4B = 6C$

$\implies \boxed{4(\frac{3A}{5}) = 6C}$

$\implies \boxed{\frac{12A}{5}= 6C}$

$\implies \boxed{\frac{12A}{6C(5)}= 1}$

$\implies \boxed{\frac{2A}{5C} = 1}$

$\implies \boxed{\frac{A}{C}= \frac{5}{2}}$

  $\therefore \text{ The ratio }A:C = 5:2$