math challenge

Week of August 12 - 18, 1996

Alexander's Alchemy

Alexander the Alchemist was playing around with some potions in his lab. He discovered that if he mixed Alpha potion with Beta potion, he would get Gamma potion. If he mixed Gamma potion with Delta potion, he would get Epsilon potion. Zeta potion can only be formed by combining Gamma potion and Epsilon potion. Delta potion and Beta potion will make Epsilon potion. Alpha, Beta, and Delta potions cannot be made by mixing.

What Potions will Alexander need in order to make Zeta Potion?

See the solution