Richard & Natasha share a lottery win of £5650 in the ratio 4 : 1. Richard then shares his part between himself, his wife & their son in the ratio 6 : 3 : 1. How much more does his wife get over their son?

Respuesta :

Answer:

Richard's wife got £904 more than her son.

Step-by-step explanation:

Richmond and Natasha won a lottery of £5650.

They shared it in the ratio of 4 : 1

So the prize amount Richard got = [tex]\frac{4\times 5650}{(4+1)}[/tex]

= £4520

Now Richard shared his part with his wife and son in the ratio of 6 : 3 : 1.

So the amount his wife got = £[tex]4520\times \frac{3}{(6+3+1)}[/tex]

= £1356

And amount shared by his son =£ [tex]4520\times \frac{1}{(6+3+1)}[/tex]

= £452

Difference in the amount shared by his wife and son = £1356 - £452

= £904

Therefore, his wife got £904 more than his son.