cistern contains 50 gallons of brine with 10 pounds of salt. Another brine solution containing 2 pounds of salt per gallon is pumped into the cistern at the rate of 3 gallons per minute and the mixture runs out at the same rate. If the cistern is constantly stirred, find the amount of salt in the cistern after t minutes. Show all your work

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A cistern contains 50 gallons of brine with 10 pounds of salt. Another brine solution containing 2 pounds
of salt per gallon is pumped into the cistern at the rate of 3 gallons per minute and the mixture runs out at the same rate. If the cistern is constantly stirred, find the amount of salt in the cistern after t minutes. Show

all your work.

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