Question

Colin & Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife & their son in the ratio 2 : 5 : 3. How much more does his wife get over their son?

Answer 1

His wife gets $336 more than his son.

Explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets
`(4)/(4+1) = (4)/(5)` of the prize.

`(4*2100)/(5) = 1680`

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets
`(2)/(2+3+5) = (2)/(10)`, his wife gets
`(5)/(2+3+5) = (5)/(10)` and his son gets
`(3)/(2+3+5) = (3)/(10)`

Wife:

`(5*1680)/(10) = 840`

His wife got $840.

Son:

`(3*1680)/(10) = 504`

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.