Question

£490 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Stephen get?

Answer 1

Stephen gets £147

Explanation:

Given

Let

`S = Stephen; B = Bridget; R = Richard`

So:

`S + B + R = 490`

`R = 2S`

`S = 3B`

Required

Find S

Make B the subject in
`S = 3B`

`B = (S)/(3)`

Substitute:
`R = 2S` and
`B = (S)/(3)` in
`S + B + R = 490`

`S + (S)/(3) + 2S = 490`

Take LCM

`(3S + S + 6S)/(3)= 490`

`(10S)/(3)= 490`

Solve for S

`S = (490 * 3)/(10)`

`S = 49 * 3`

`S = 147`

Stephen gets £147