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# Solving Ratios: What is $a$?

GMAT-YD6JMN

If the two ratios $2b:\cfrac{5a}{3}$ and $3a:\cfrac{4}{5b}$ are equivalent, what is the value of $a$?

A

$\cfrac{1}{\sqrt{5}}$

B

$\cfrac{2\sqrt{2}}{5}$

C

$\cfrac{2}{\sqrt{5}}$

D

$\cfrac{2}{5\sqrt{3}}$

E

$\cfrac{2\sqrt{6}}{5}$