You are conducting an experiment and there are three acid solutions: 30%, 40%, and 80% acid. It can mix all three to come up with a 100 – gallons of a 39% acid solution. If you interchange the amount of 30% solution with the amount of the 80% solution in the first mix, it can create a 100 – gallon solution that is 59% acid. How many of the 30%, 40%, and 80% solutions are needed to create a 100- gallons of a 39% acid solution? Use two different methods to solve this problem.

You are conducting an experiment and there are three acid solutions: 30%, 40%, and 80% acid. It can mix all three to come up with a 100 – gallons of a 39% acid solution. If you interchange the amount of 30% solution with the amount of the 80% solution in the first mix, it can create a 100 – gallon solution that is 59% acid. How many of the 30%, 40%, and 80% solutions are needed to create a 100- gallons of a 39% acid solution? Use two different methods to solve this problem.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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