A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions whose concentrations are 10%, 20%, and 50%. How many liters of each solution will satisfy each condition? (a) Use 2 liters of the 50% solution. 10% solution  20% solution  (b) Use as little as possible of the 50% solution. 10% solution 20% solution  50% solution  (c) Use as much as possible of the 50% solution 10% solution 20% solution  50% solution

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 26E
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A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions whose concentrations are 10%, 20%, and 50%. How many liters of each solution will satisfy each condition?

(a) Use 2 liters of the 50% solution.

10% solution 

20% solution 

(b) Use as little as possible of the 50% solution.

10% solution

20% solution 

50% solution 

(c) Use as much as possible of the 50% solution

10% solution

20% solution 

50% solution 

 

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