Andy, Berlin and Cheryl had a total of 6750 stamps. At first, Andy have 50% of his stamps to Berlin. Berlin then gave 1/3 of her stamps to Cheryl. Finally, Cheryl gave 1/6 of her stamps to Andy. In the end, the ratio of the number of Andy’s stamps to the number of Berlin’s stamps became 4:5. Cheryl had twice the total number of stamps that Andy and Berlin had. How many stamps did Berlin and Cheryl have in total at first?

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