Andy, ben and claire share £54

ben gets three times as much money as andy.

claire gets twice as much as ben.

how much money does claire get?

we can answer this by using ratios.

andy = A

ben = B

claire = C

ben gets tree times as much as andy

A : B : C

1 : 3 : C

claire gets twice as much as ben

1 : 3 : 6

1 + 3 + 6 = 10

there are 10 parts altogether.

54/10 = 5.4 (£5.40)

1 part = £5.40

claire has 6 parts. £5.40*6 = £32.40

claire gets £32.40