There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been dissolved). Another brine solution is pumped into the tank at a rate of 3 gallons per minute. The tank keeps the mixture well-stirred, and the solution is pumped out of the tank at the same rate of 3 gallons per minute. If the solution being pumped into the tank has a salt concentration of 12 lb/gal, and the tank initially contained 60 lb of salt, find how much salt will be in the tank after 30 minutes. Round to the nearest pound.

There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been dissolved). Another brine solution is pumped into the tank at a rate of 3 gallons per minute. The tank keeps the mixture well-stirred, and the solution is pumped out of the tank at the same rate of 3 gallons per minute. If the solution being pumped into the tank has a salt concentration of 12 lb/gal, and the tank initially contained 60 lb of salt, find how much salt will be in the tank after 30 minutes. Round to the nearest pound.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 18EQ

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Question

There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been
dissolved). Another brine solution is pumped into the tank at a rate of 3 gallons per minute. The
tank keeps the mixture well-stirred, and the solution is pumped out of the tank at the same rate
of 3 gallons per minute. If the solution being pumped into the tank has a salt concentration of 12
lb/gal, and the tank initially contained 60 lb of salt, find how much salt will be in the tank after 30
minutes. Round to the nearest pound.

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