A chemist needs 12 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 4 liters of the 50% solution. 10% solution X L 20% solution X L (b) Use as little as possible of the 50% solution. 10% solution L 20% solution 10 L 50% solution 2 (c) Use as much as possible of the 50% solution. 7.5 10% solution 20% solution 50% solution 4.5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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A chemist needs 12 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 4 liters of the 50% solution.
10% solution
X L
20% solution
X L
(b) Use as little as possible of the 50% solution.
10% solution
L
20% solution
10
50% solution
2
(c) Use as much as possible of the 50% solution.
10% solution
7.5
20% solution
50% solution
4.5
Transcribed Image Text:A chemist needs 12 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 4 liters of the 50% solution. 10% solution X L 20% solution X L (b) Use as little as possible of the 50% solution. 10% solution L 20% solution 10 50% solution 2 (c) Use as much as possible of the 50% solution. 10% solution 7.5 20% solution 50% solution 4.5
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