Question

David & Dan share a lottery win of £9900 in the ratio 3 : 2. David then shares his part between himself, his wife & their son in the ratio 4 : 4 : 2. How much more does his wife get over their son?

Answer 1

Given:

The amount of the lottery = £9900

David & Dan share the lottery in the ratio 3 : 2

David shares his part with himself, wife & their son in the ratio 4 : 4 : 2

To find:

How much more does his wife gets over their son

Solution:

∵ the ratio of the share is 3:2 between David and Dan

So, The fraction of the share that David will get from the total win is $\frac{3}{3+2}$ = $\frac{3}{5}$

∴ David's share from the lottery win will be,

= $\frac{3}{5} \:\times\:9900$

= $3\:\times\: 1980$

= £ $\:5940$

We know that David divides his share between himself, his wife & their son in the ratio 4 : 4 : 2

Therefore,

David's share from his part = $\frac{4}{4+4+2}\times5940 = \frac{4}{10}\times5940 = 2376$

His wife's share from his part = $\frac{4}{4+4+2} \times5940= \frac{4}{10}\times5940 = 2376$

Their son's share from his part = $\frac{2}{4+4+2} \times5940= \frac{2}{10}\times5940 = 1188$

Now,

The difference between his wife's share and their son's share from his part is given by,

= £ 2376 - £ 1188

= £ 1188

Thus, his wife gets £ 1188 more over their son.

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Answer 2

Answer:

£1188

Step-by-step explanation: