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?

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 

$ 1260 

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