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 of age which is 48. What is the total number of students in the school?

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Solution

Let the number of students be x. Then,

Number of students above 8 years of age = (100 - 20)% of x = 80% of x.

$Therefore, 80 % of x = 48 + \frac{2}{3} of 48 \Rightarrow \frac{80}{100} \times x = 80 \Rightarrow x = 100$
Number of students therefore is 100.

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In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 23 of the number of students of 8 years of age which is 48. What is the total number of students in the school?

Let the number of students be x. Then, Number of students above 8 years of age = (100 - 20)% of x = 80% of x. Therefore, 80% of x = 48 + 23 of 48⇒80100×x = 80⇒x = 100 Number of students therefore 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 of age which is 48. What is the total number of students in the school?

Let the number of students be x. Then,

Number of students above 8 years of age = (100 - 20)% of x = 80% of x.

$Therefore, 80 % of x = 48 + \frac{2}{3} of 48 \Rightarrow \frac{80}{100} \times x = 80 \Rightarrow x = 100$
Number of students therefore is 100.