In an examination,the average marks obtained | vedclass

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(D) Let the number of girls be $4x$ and the number of boys be $5x$.The total marks obtained by girls $= 85 	imes 4x = 340x$.The total marks obtained

Vedclass · Accepted Answer

$86.1$

Vedclass · Answer

(D) Let the number of girls be $4x$ and the number of boys be $5x$.The total marks obtained by girls $= 85 	imes 4x = 340x$.The total marks obtained by boys $= 87 	imes 5x = 435x$.The total number of students $= 4x + 5x = 9x$.The average marks of the whole class $= \frac{	ext{Total marks of girls} + 	ext{Total marks of boys}}{	ext{Total number of students}}$.Average $= \frac{340x + 435x}{9x} = \frac{775x}{9x} = \frac{775}{9}$.Average $\approx 86.11$.Therefore,the average marks of the whole class is closest to $86.1$.

In an examination,the average marks obtained by the girls of a class is $85$ and the average marks obtained by the boys of the same class is $87$. If the girls and boys are in the ratio $4:5$,the average marks of the whole class (approx.) is closest to:

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