Minute Mystery: The Gold Coins

Bite-sized brain teaser to solve in a minute or less.

 

 

The Gold Coins

A group of adventurers is on a treasure hunt. They find a set of three locked chests, each containing gold coins. The number of coins in each chest follows these rules:

  1. The second chest contains twice as many coins as the first chest.
  2. The third chest contains 10 more coins than the second chest.
  3. Together, the three chests contain 100 coins.

How many coins are in each chest?

 

 

Solution

  • The first chest contains x coins.
  • The second chest contains 2x coins.
  • The third chest contains (2x + 10) coins.

The total coins are given as:

x + 2x + (2x + 10) = 100


Solve for x:

5x + 10 = 100

5x = 90

x=18


Thus:

  • The first chest contains x coins
    • x = 18
    • The first chest contains 18 coins
  • The second chest contains 2x coins.
    • 2x = 36
    • The second chest contains 33 coins.
  • The third chest contains (2x + 10) coins.
    • 2x + 10 = 46
    • The third chest contains 46 coins

Final Answer:

  • First Chest: 18 coins
  • Second Chest: 36 coins
  • Third Chest: 46 coins

 

 

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