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Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Three kangaroos wanted to share some radishes. Initially, they shared them in the ratio $7:6:5$ but then changed their minds and shared them in the ratio $6:5:4$ in the same order. As a result of this change, one kangaroo received four extra radishes. How many radishes did they share?

(A) $270$ (B) $300$ (C) $360$ (D) $420$ (E) $480$

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