A young superhero mixes up a batch of goo they can use to fight crime. The recipe for the goo requires Distilled Water (which costs $2/gallon), Diet Cola (which costs $4/Gallon), and Diluted

Alcohol (which costs $1/gallon). The batch of goo contains 8 gallons of these mixed ingredients and

costs $18. Furthermore, the batch of goo uses the same amount of Water and Cola. What is the

recipe for the goo (i. e. how many gallons of Water, Cola, and Alcohol are used)?

As a side note, it is possible to use a fraction of a gallon of an ingredient.

8a) Write out the system of equations you would use to answer the question.

8b) What is the answer? How many gallons of each ingredient were used? Please write your

answer as a complete sentence with appropriate units.