A 1000-gallon tank initially contains 450 gallons of cola and 50 gallons of cherry syrup. Cola is added at the rate of 8 gallons per minute, and cherry syrup is added at the rate of 2 gallons per minute. At the same time, a well-mixed solution of cherry cola is withdrawn at the rate of 5 gallons per minute. Find the percentage of the mixture that is cherry syrup at the time when the tank is full.

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A: Explained below

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