# Question Solved1 AnswerA tank is used to mix sugar solutions for use in making candies at a factory. The tank initially holds 50 gallons of pure water. Two pipes that flow into the tank and a third pipe that flows out of the tank are opened. The first pipe has a solution of 2 pounds of sugar per gallon and flows into the tank at a rate of 6 gallons per minute. The second pipe has A tank is used to mix sugar solutions for use in making candies at a factory. The tank initially holds 50 gallons of pure water. Two pipes that flow into the tank and a third pipe that flows out of the tank are opened. The first pipe has a solution of 2 pounds of sugar per gallon and flows into the tank at a rate of 6 gallons per minute. The second pipe has a solution of $$1.25$$ pounds of sugar per gallon and flows into the tank at a rate of 5 gallons per minute. The tank is well-stirred. The mixture leaves the tank at a rate of 9 gallons per minute. Write an InitialValue Problem that models the amount of sugar in the tank (in pounds) at any time $$t$$. You do not need to solve the problem.

Transcribed Image Text: A tank is used to mix sugar solutions for use in making candies at a factory. The tank initially holds 50 gallons of pure water. Two pipes that flow into the tank and a third pipe that flows out of the tank are opened. The first pipe has a solution of 2 pounds of sugar per gallon and flows into the tank at a rate of 6 gallons per minute. The second pipe has a solution of $$1.25$$ pounds of sugar per gallon and flows into the tank at a rate of 5 gallons per minute. The tank is well-stirred. The mixture leaves the tank at a rate of 9 gallons per minute. Write an InitialValue Problem that models the amount of sugar in the tank (in pounds) at any time $$t$$. You do not need to solve the problem.
Transcribed Image Text: A tank is used to mix sugar solutions for use in making candies at a factory. The tank initially holds 50 gallons of pure water. Two pipes that flow into the tank and a third pipe that flows out of the tank are opened. The first pipe has a solution of 2 pounds of sugar per gallon and flows into the tank at a rate of 6 gallons per minute. The second pipe has a solution of $$1.25$$ pounds of sugar per gallon and flows into the tank at a rate of 5 gallons per minute. The tank is well-stirred. The mixture leaves the tank at a rate of 9 gallons per minute. Write an InitialValue Problem that models the amount of sugar in the tank (in pounds) at any time $$t$$. You do not need to solve the problem.