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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?

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: 3x3x

  • Daughters:

  • Sons:

  • Total =

Set up the equation:


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