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

Answer:

His wife gets $1068 more than his son.

Step-by-step explanation:

Peter and Alex:

Peter gets $\frac{4}{4+5} = \frac{4}{5}$ of the total amount.

$\frac{4*4450}{5} = 3560$

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

Peter gets $\frac{1}{1+6+3} = \frac{1}{10}$ of the amount, the wife gets $\frac{6}{1+6+3} = \frac{6}{10}$ and the son gets $\frac{3}{1+6+3} = \frac{3}{10}$

Wife:

$\frac{6*3560}{10} = 2136$

His wife gets $2136

Son:

$\frac{3*3560}{10} = 1068$

How much more does his wife get over their son?

2136 - 1068 = 1068

His wife gets $1068 more than his son.