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A large mixing tank currently contains 75 gallons of water into which 5 pounds of sugar have been mixed.

A large mixing tank currently contains 75 gallons of water into which 5 pounds of sugar have been mixed. A tap will open pouring 10 gallons per minute of water into the tank at the same time sugar is poured into the tank at a rate of 1 pound per minute. Find the concentration (pounds per gallon) of sugar in the tank after 15 minutes. Is that a greater concentration than at the beginning?

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