Question

Peter & Alex share a lottery win of £4450 in the ratio 4 : 1. Peter then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?

Answer 1

His wife gets $1068 more than his son.

Explanation:

Peter and Alex:

Peter gets
`(4)/(4+5) = (4)/(5)` of the total amount.

`(4*4450)/(5) = 3560`

Peter gets $3560. He divides with his wife and son.

Peter gets
`(1)/(1+6+3) = (1)/(10)` of the amount, the wife gets
`(6)/(1+6+3) = (6)/(10)` and the son gets
`(3)/(1+6+3) = (3)/(10)`

Wife:

`(6*3560)/(10) = 2136`

His wife gets $2136

Son:

`(3*3560)/(10) = 1068`

How much more does his wife get over their son?

2136 - 1068 = 1068

His wife gets $1068 more than his son.