Angad, Gavin & Nick share some money in the ratio 3 : 4 : 1. In total, Angad and Nick receive £32. How much does Gavin get?

$32

Step-by-step explanation:

There are two ways of determining the answer

1. the fast method

the sum of Angad and Nick's ratio is 3 + 1 = 4

this is equal to the ratio of Gavin's earnings. It is also 4

So if Angad and Nick receive £32, Gavin would also receive $32 since the ratios are equal.

2. Longer method

Let the total amount received by the 3 of them = a

Sum of ratios = 3 + 4 + 1 = 8

the equation representing the amount received by Angad and Nick is

(4/8) x a = $32

Divide both sides by 8/4 and find a

a = $64

the total amount received is $64

amount received by Gavin =

(4/8) x 64 = $32