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7. A tank initially contains 60 gallons of brine in which there is dissolved 8 lbs. of salt. Brine containing 21Ibs. of dissolved salt per gallon flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring, and the stirred mixture simultaneously flows out at the slower rate of 3 gal/min. How much salt is in the tank at any time t>0?

7. A tank initially contains 60 gallons of brine in which there is dissolved 8 lbs. of salt. Brine containing 21Ibs. of dissolved salt per gallon flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring, and the stirred mixture simultaneously flows out at the slower rate of 3 gal/min. How much salt is in the tank at any time t>0?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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7. A tank initially contains 60 gallons of brine in which there is dissolved 8 lbs. of salt. Brine containing 2 Ilbs. of dissolved salt per gallon flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring, and the stirred mixture simultaneously flows out at the slower rate of 3 gal/min. How much salt is in the tank at any time t>0? 8. A 120-goallon tank initially contains 80 lbs. of salt dissolve in 90 gal of water. Brine containing 2lbs/gal of salt flows into the tank at the rate of 5 gal/min, and the mixture flows out of the tank at the rate of 4 gal/min. If the tank is full after 40 minutes, how much salt does the tank contain?
Transcribed Image Text:7. A tank initially contains 60 gallons of brine in which there is dissolved 8 lbs. of salt. Brine containing 2 Ilbs. of dissolved salt per gallon flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring, and the stirred mixture simultaneously flows out at the slower rate of 3 gal/min. How much salt is in the tank at any time t>0? 8. A 120-goallon tank initially contains 80 lbs. of salt dissolve in 90 gal of water. Brine containing 2lbs/gal of salt flows into the tank at the rate of 5 gal/min, and the mixture flows out of the tank at the rate of 4 gal/min. If the tank is full after 40 minutes, how much salt does the tank contain?
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