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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

In Kush’s Cake shop, there are chocolate cakes, cherry cakes, cream cakes and coffee cakes. For every seven chocolate cakes, there are six cherry cakes. For every five cherry cakes, there are four cream cakes. For every three cream cakes, there are two coffee cakes. Which of these could be the total number of cakes in Kush’s shop?

(A) $60$ (B) $150$ (C) $240$ (D) $330$ (E) $420$

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