A total of 129,000 is divided among 5 sons, 4 daughters, and 3 nephews. Each son gets 5 times, and each daughter gets 4 times the amount received by each nephew. What is the amount each nephew gets?

Explanation

• Total amount = 129,000

• People involved:

  • 5 sons → each gets 5x

  • 4 daughters → each gets 4x

  • 3 nephews → each gets x

Let the amount each nephew gets be x

Now express the total amount in terms of x:

• Nephews: $3x$
  

• Daughters: $4\times 4x=16x$

• Sons: $\mathrm{<br>}$

• Total = $3x+16x+25x=44x$

Set up the equation:

$$44x = 129000 Rightarrow x = frac{129000}{44} = ₹2931.82overline{72}$$44​=2931.8272

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