A chemist has three solutions that contain a 10%,30%, and 50%, respectively, of a certain acid. He wants to mix these three solutions using the double of the solution at 50% regarding the 30% one, to obtain 50 L of a solution that contains 30% of the acid. How many liters of each solution does he have to use?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section2.3: Models And Applications
Problem 22SE: A chemistry teacher needs to mix a 30% salt solution with a 70% salt solution to make 20 qt of a 40%...
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A chemist has three solutions that contain a 10%,30%, and 50%, respectively, of a certain acid. He wants to mix these three solutions using the double of the solution at 50% regarding the 30% one, to obtain 50 L of a solution that contains 30% of the acid. How many liters of each solution does he have to use? 

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