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. 2a) Write out the system of equations you would use to answer the question. 2b) What is the answer? How many gallons of each ingredient were used? Please write your answer as a complete senterice with appropriate units.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.2: Solve Applications With Systems Of Equations
Problem 4.29TI: Geraldine has been offered positions by two insurance companies. The first company pays a salary of...
Question
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.
2a) Write out the system of equations you would use to answer the question.
2b) What is the answer? How many gallons of each ingredient were used?
Please write your answer as a complete senterce with appropriate units.
Transcribed Image Text: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. 2a) Write out the system of equations you would use to answer the question. 2b) What is the answer? How many gallons of each ingredient were used? Please write your answer as a complete senterce with appropriate units.
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