Tank A has a volume of 50 liters. Tank B has a volume of 80 liters. At t = 0, tank A contains 3 kilograms of salt dissolved in 50 liters of water, and tank B contains 2 kilograms of salt dissolved in 80 liters of water. 5 liters of water flow into tank A every minute. 3 liters of brine flow into tank A from tank B every minute. 8 liters of brine flow from tank A into tank B every minute. 5 liters of brine flow out of tank B into a drain every minute. Calculate an answer to the question, how much salt is in each tank at t> 0?

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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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Tank A has a volume of 50 liters. Tank B has a volume of 80 liters. At t= 0, tank A contains 3
kilograms of salt dissolved in 50 liters of water, and tank B contains 2 kilograms of salt dissolved
in 80 liters of water. 5 liters of water flow into tank A every minute. 3 liters of brine flow into
tank A from tank B every minute. 8 liters of brine flow from tank A into tank B every minute. 5
liters of brine flow out of tank B into a drain every minute.
Calculate an answer to the question, how much salt is in each tank at t> 0?
Transcribed Image Text:Tank A has a volume of 50 liters. Tank B has a volume of 80 liters. At t= 0, tank A contains 3 kilograms of salt dissolved in 50 liters of water, and tank B contains 2 kilograms of salt dissolved in 80 liters of water. 5 liters of water flow into tank A every minute. 3 liters of brine flow into tank A from tank B every minute. 8 liters of brine flow from tank A into tank B every minute. 5 liters of brine flow out of tank B into a drain every minute. Calculate an answer to the question, how much salt is in each tank at t> 0?
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