Minute Mystery: The Potion Ingredients

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

 

 

The Potion Ingredients

An alchemist is preparing a magic potion that requires three key ingredients: Fairy Dust, Dragon Scales, and Unicorn Hair. The weight of each ingredient in grams follows these clues:

  1. The weight of Dragon Scales is three times that of Unicorn Hair.
  2. The weight of Fairy Dust is 5 grams more than the combined weight of Dragon Scales and Unicorn Hair.
  3. Together, all three ingredients weigh 65 grams.

How much of each ingredient does the alchemist need?

 

 

Solution

  • The weight of Unicorn Hair is x
  • The weight of Dragon Scales is 3x
  • The weight of Fairy Dust is 5 + (3x + x)

The total weight is given as:

x + 3x + (5 + 3x + x) = 65


Simplify:

x + 3x + 5 + 4x = 65

8x + 5 = 65

8x = 60


Solve for x:

8x = 60

x = 7.5


Thus:

  • The weight of Unicorn Hair is x
    • x = 7.5
    • The weight of Unicorn Hair is 7.5 g
  • The weight of Dragon Scales is 3x
    • 3x = 22.5
    • The weight of Dragon Scales is 22.5 g
  • The weight of Fairy Dust is 5 + (3x + x)
    • 5 + (3x + x) = 35
    • The weight of Fairy Dust is 35 g

Final Answer:

  • Unicorn Hair: 7.5 grams
  • Dragon Scales: 22.5 grams
  • Fairy Dust: 35 grams

 

 

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