In a class,the average height of all students | vedclass

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(D) Let the total number of students be $N$. The total height of all students is $T = aN$.The sum of heights of $10$ students is $10b$.The number of r

Vedclass · Accepted Answer

$\frac{10(b-c)}{a-c}$

Vedclass · Answer

(D) Let the total number of students be $N$. The total height of all students is $T = aN$.The sum of heights of $10$ students is $10b$.The number of remaining students is $(N-10)$,and their total height is $(N-10)c$.The sum of the heights of the two groups equals the total height of the class:$10b + (N-10)c = aN$Expand the equation:$10b + Nc - 10c = aN$Rearrange to solve for $N$:$10b - 10c = aN - Nc$$10(b-c) = N(a-c)$Therefore,the total number of students is:$N = \frac{10(b-c)}{a-c}$

In a class,the average height of all students is $a \text{ cm}$. Among them,the average height of $10$ students is $b \text{ cm}$ and the average height of the remaining students is $c \text{ cm}$. Find the number of students in the class. (Here $a > c$ and $b > c$)

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