Question

£10 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Gordon get?

Answer 1

£6

Explanation:

Let the amount Paul gets be p.

Let the amount Malachy gets be m.

Let the amount Gordon gets be g.

Therefore:

p + m + g = 10 __________(1)

Gordon gets twice as much as Malachy, therefore:

g = 2m

Malachy gets 3 times as much as Paul, therefore:

m = 3p ____________(2)

=> g = 2(3p) = 6p _________(3)

Put 2 and 3 in 1:

p + 3p + 6p = 10

10p = 10

p = 10/10 = £1

Putting this value in (3):

g = 6 * 1 = £6

Gordon gets £6.