Two boys shared some amount of money in the ratio 1:3. If the greater share is #450, find:

(a) the smaller share
(b) the amount of money shared

x = the smaller share

y = the greater share

Two boys shared some amount of money in the ratio 1:3 means:

x / y = 1 / 3

Cross multiply

3 x = y

The greater share y is 450 so:

3 x = 450

x = 450 / 3

x = 150

The amount of money shared = x + y =

150 + 450 = 600