A 30-gallon tank initially contains 15 gallons of salt water containing 2 pounds of salt. Suppose salt water containing 1 pound of salt per gallon is pumped into the top of the tank at the rate of 2 gallons per minute, while a well-mixed solution leaves the bottom of the tank at a rate of 1 gallon per minute. How much salt is in the tank when the tank is full? (Enter the exact numerical answer as a decimal. Do not enter a calculation.) b. A 50 gallon tank initially contains 10 gallons of fresh water. At t=0t=0 a brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the rate of 0.5 gal/min. Find the amount of salt in the tank at the moment of overflow. Enter answer as numerical decimal correct to two decimal places in terms of pounds.

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter5: Decimals
Section5.6: Ratios And Rate
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 A 30-gallon tank initially contains 15 gallons of salt water containing 2 pounds of salt. Suppose salt water containing 1 pound of salt per gallon is pumped into the top of the tank at the rate of 2 gallons per minute, while a well-mixed solution leaves the bottom of the tank at a rate of 1 gallon per minute. How much salt is in the tank when the tank is full? (Enter the exact numerical answer as a decimal. Do not enter a calculation.) b. A 50 gallon tank initially contains 10 gallons of fresh water. At t=0t=0 a brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the rate of 0.5 gal/min. Find the amount of salt in the tank at the moment of overflow. Enter answer as numerical decimal correct to two decimal places in terms of pounds.
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