$16$ children are to be divided into two groups $A$ and $B$ of $10$ and $6$ children,respectively. The average marks obtained by the children of group $A$ is $75$ and that of all the children is $76$. Then,the average marks of the children of group $B$ is?
- A$77 \frac{1}{3}$
- B$77 \frac{2}{3}$
- C$78 \frac{1}{3}$
- D$78 \frac{2}{3}$
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