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## Explanation

A man divides 8600

- among 5 sons

- 4 daughters

- and 2 nephews

- each daughter receives four times as much as nephew

- each son receives five times as each nephew

Let suppose

Money receive by nephew is â€śyâ€ť, so money received by each daughter and son will be 4y (4 daughter means 16y) and 5y (5 sons means 25y). Now, the overall equation becomes;

2y + 16y + 25y = 8600

Through this equation we can easily find out the amount received by each daughter.

## To Find

Money received by each daughter = ?

## Solution

Let suppose

Amount received by nephew = y

Two nephews = 2 (y) = 2y

Amount received by 1 daughter = 4y

Amount received by 4 daughters = 4 (4y) = 16y

Amount received by 1 son = 5y

Amount received by 5 sons = 5 (5y) = 25y

Total amount (given) = 8600

So;

2y + 16y + 25y = 8600

43y = 8600

y = 8600/43

y = 200

It means each nephew receives Rs. 200.

Amount received by 1 daughter = 4 (200) = **Rs. 800 answer**

## Conclusion

A man divides 8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as nephew and each son receives five times as each nephew, then each daughter would receive Rs. 800.