A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for each gal of water. At time zero, pure water begins pouring into the tank at a rate of 2 gal per minute. Simultaneously, a drain is opened at the bottom of the tank so that the volume of sugar-water solution in the tank remains constant.
(a) How much sugar is in the tank after 10 minutes?
(b) How long will it take the sugar content in the tank to dip below 20 lb?
(c) What will be the eventual sugar content in the tank?
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