A large, well stirred tank with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the tank at a rate of 5 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour? How long will it take for the tank to contain 6% alcohol? Sketch your solution. What does 6% represent, relative to the solution, in mathematical terms?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A large, well stirred tank with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the tank at a rate of 5 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour? How long will it take for the tank to contain 6% alcohol? Sketch your solution. What does 6% represent, relative to the solution, in mathematical terms? 

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