Question

£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Natasha get?

Answer 1

£42

Explanation:

The ratio of Richard's amount to Stephen's amount is ...

R : S = 3 : 1

The ratio of Natasha's amount to Richard's amount is ...

N : R = 2 : 1 = 6 : 3

Then the ratio of all three amounts is ...

N : R : S = 6 : 3 : 1

The proportion of the total that Natasha gets is ...

6/(6+3+1) = 6/10

so she gets ...

(6/10)×£70 = £42

Natasha gets £42.