Mr. Elvis divided his money in the ratio 2:6 between Eric and Shan. Eric got the smaller amount of $420. How much did Shan receive?

First, we can simplify the ratio, as both numbers have a factor of 2

2:6 becomes 1:3

Eric received $420 and we want to know what Shan got

Eric received 1 unit, therefore we multiply $420 by 3 (because 1unit x 3 = 3 units)

$420 x 3 = $1260

Shan received $1260

Hi

2/6 = 1/3

E = Eric

S = Shan

E/S = 1/3 ⇒ 3·E = S·1 ⇒ 3E = S

S = 3E

S = 3· (420)

S = 1260

Answer: $ 1260