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14. Let tank X, initially has 100 gallons of brine made with 100 pounds of salt. Tank X2 initially has 100 gallons of pure water. Pure water is pumped into tank X, at the rate of 2.0 gallons per minute. Some of the mixture of brine and pure water flows into tank X2 at 3 gallons per minute. To keep the tank levels the same, one gallon of the X2 mixture flows back into tank X, at a rate of one gallon per minute and 2.0 gallons per minute drains out. Find the amount of salt at any given time in the tanks. What happens over a long period of time?

14. Let tank X, initially has 100 gallons of brine made with 100 pounds of salt. Tank X2 initially has 100 gallons of pure water. Pure water is pumped into tank X, at the rate of 2.0 gallons per minute. Some of the mixture of brine and pure water flows into tank X2 at 3 gallons per minute. To keep the tank levels the same, one gallon of the X2 mixture flows back into tank X, at a rate of one gallon per minute and 2.0 gallons per minute drains out. Find the amount of salt at any given time in the tanks. What happens over a long period of time?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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14. Let tank X, initially has 100 gallons of brine made with 100 pounds of salt. Tank X2 initially has 100 gallons of pure water. Pure water is pumped into tank X, at the rate of 2.0 gallons per minute. Some of the mixture of brine and pure water flows into tank X2 at 3 gallons per minute. To keep the tank levels the same, one gallon of the X2 mixture flows back into tank X, at a rate of one gallon per minute and 2.0 gallons per minute drains out. Find the amount of salt at any given time in the tanks. What happens over a long period of time?
Transcribed Image Text:14. Let tank X, initially has 100 gallons of brine made with 100 pounds of salt. Tank X2 initially has 100 gallons of pure water. Pure water is pumped into tank X, at the rate of 2.0 gallons per minute. Some of the mixture of brine and pure water flows into tank X2 at 3 gallons per minute. To keep the tank levels the same, one gallon of the X2 mixture flows back into tank X, at a rate of one gallon per minute and 2.0 gallons per minute drains out. Find the amount of salt at any given time in the tanks. What happens over a long period of time?
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