Mikhal has 1200 grams of cake mixture. He is going to make 3 cakes, cake $$\(A\)$$, cake $$\(B\)$$ and cake $$\(C\)$$. $$\(\frac{4}{15}\)$$ of the weight of the cake mixture will be used to make cake $$\(A\)$$. The rest of the cake mixture will be used to make cake $$\(B\)$$ and cake $$\(C\)$$. The weight of the cake mixture used to make cake $$\(B\)$$ and the weight of the cake mixture used to make cake $$\(C\)$$ will be in the ratio $$\(3: 8\)$$ Work out the weight of the cake mixture used to make each of cake $$\(A\)$$, cake $$\(B\)$$ and cake $$\(C\)$$. Cake $$\(A\)$$ grams Cake $$\(B\)$$ grams Cake $$\(C\)$$ grams

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