In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is ⅔ of the number of students of 8 years of age which is 48. What is the total number of students in the school?

Given data

• 20% are below 8 years.
• Exactly 8 years old = 48 students.
• Above 8 years = ⅔ of the number of 8-year-olds = ⅔ × 48 = 32.

Step 1: Express the totalLet total students = T.Breakdown: Below 8 = 20% of T = 0.2T; Exactly 8 = 48; Above 8 = 32.

Step 2: Form the equationT = 0.2T + 48 + 32T − 0.2T = 800.8T = 80 ⇒ T = 80 ÷ 0.8 = 100

Checks & notes

• Percent applies to the total T, not just to the non-8-year-olds.
• Above-8 count is directly computed from the 8-year-old group (2/3 of 48).

Final AnswerTotal number of students = 100.