In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 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?
Question
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 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?
Solution
Sure, let's break it down:
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First, we know that the number of students who are 8 years old is 48.
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The problem states that the number of students above 8 years of age is 2/3 of the number of students who are 8 years old. So, we multiply 48 by 2/3 to find the number of students above 8 years old.
48 * 2/3 = 32 students
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Now, we know that 20% of students are below 8 years old. Let's denote the total number of students as 'x'. So, 20% of 'x' is the number of students below 8 years old.
0.20x = number of students below 8 years old
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The total number of students in the school is the sum of the number of students who are 8 years old, the number of students above 8 years old, and the number of students below 8 years old.
x = 48 (students who are 8 years old) + 32 (students above 8 years old) + 0.20x (students below 8 years old)
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Simplifying the equation, we get 0.80x = 80.
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Solving for 'x', we find that x = 100.
So, there are 100 students in the school.
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