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(D) Let the total number of students be $x$.Number of students below $8$ years of age $= 20\% 	ext{ of } x = 0.2x$.Number of students of $8$ years of

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(D) Let the total number of students be $x$.Number of students below $8$ years of age $= 20\% 	ext{ of } x = 0.2x$.Number of students of $8$ years of age $= 48$.Number of students above $8$ years of age $= \frac{2}{3} 	imes 48 = 32$.The sum of students in all three categories equals the total number of students $x$:$0.2x + 48 + 32 = x$$0.2x + 80 = x$$80 = x - 0.2x$$80 = 0.8x$$x = \frac{80}{0.8} = 100$.Therefore,the total number of students in the school is $100$.

In a certain school,$20 \%$ of students are below $8$ years of age. The number of students above $8$ years of age is $\frac{2}{3}$ of the number of students of $8$ years age,which is $48$. What is the total number of students in the school?

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