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jasenka [17]
2 years ago
9

Colin & Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife & th

eir son in the ratio 2 : 5 : 3. How much more does his wife get over their son?
Mathematics
1 answer:
Paraphin [41]2 years ago
8 0

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets \frac{4}{4+1} = \frac{4}{5} of the prize.

\frac{4*2100}{5} = 1680

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

Ratio of 2:5:3.

So Colin gets \frac{2}{2+3+5} = \frac{2}{10}, his wife gets \frac{5}{2+3+5} = \frac{5}{10} and his son gets \frac{3}{2+3+5} = \frac{3}{10}

Wife:

\frac{5*1680}{10} = 840

His wife got $840.

Son:

\frac{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.

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