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Puzzle 13 - Alibaba's cave

Solution to puzzle 12:

I am using brute force algorithm here.

  • Let us start from the divisibility of 5.
  • If two cards remain after dealing them for 5, the largest value less than 52 will be 47
  • If there are 47 cards and they are dealt to 3 people, 2 cards are left
  • If they are dealt to 4 people 47 - 44 = 3 cards are left
  • So 47 is the correct answer.

Puzzle 13 : Alibaba's cave

This puzzle is from mrbartonmaths

Ali Baba found a cave full of gold and diamonds. A bag full of gold weighs 200 kilograms, a bag full of diamonds weighs 40 kilograms. Ali Baba can carry only 100 kilograms at a time. A kilogram of gold costs $20, and a kilogram of diamonds costs $60. What is the greatest amount of money Ali Baba can earn for the gold and diamonds he can carry out at once (in one attempt in one bag)?

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