Pearls of the Rajah - The Third Problem.

The "Pearls of the Rajah" problem is an interesting challenge that Beremiz Samir faces in the book "The Man Who Calculated." The rajah wishes to divide a necklace of pearls among his three daughters fairly, but with different proportions: one receives half, the second a third, and the third a ninth of the total number of pearls.
Challenge:

The total number of pearls is not easily divisible by the mentioned fractions, which creates the difficulty of making this fair division.

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Proposed Solution:

Beremiz uses an ingenious method to solve the division. He starts by considering a fictitious total of pearls that is easily divisible by 2, 3, and 9. An appropriate number for this would be 18 pearls.

  • The first daughter would receive: 18 / 2 = 9 pearls
  • The second daughter would receive: 18 / 3 = 6 pearls
  • The third daughter would receive: 18 / 9 = 2 pearls
Result of the Division:

After dividing the 18 pearls, Beremiz observes that the sum of the distributed pearls is:

9 + 6 + 2 = 17 pearls, leaving 1 pearl remaining. Thus, he suggests that this additional pearl be given to the eldest daughter as a bonus for the wisdom that each of them should learn to value sharing and justice.

Beremiz's solution exemplifies how mathematics can be applied to solve everyday problems, using logic and reasoning. He successfully divides the pearls in a way that leaves all the daughters satisfied.
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Conclusion:

This problem not only illustrates Beremiz's skill in solving complex mathematical issues but also emphasizes the importance of justice and ethics in decision-making. Through mathematics, he teaches that conflict resolution can be achieved in a harmonious and creative way.