Question

£730 is divided between June, Sushil & Fiona so that June gets twice as much as Sushil, and Sushil gets three times as much as Fiona. How much does Sushil get?

Answer 1

Therefore, Sushil gets £219

Explanation:

Total amount = £730

Assume:

June's share = a

Sushil's share = b

Fiona's share = c

a = 2b -----------------------(1)

b = 3c -----------------------(2)

c = b ÷ 3 -------------------(3)

a + b + c = £730 --------(4)

Substitute equations (1) and (3) in equation (4)

2b + b + (b ÷ 3) = £730

10b ÷ 3 = £730

b = £730 * 3 ÷ 10 = £219

a = 2 * £219 = £438

c = £219 ÷ 3 = £73

Therefore, Sushil gets £219