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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, How Much Does Each Daughter Receive?

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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 “y”, 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.

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