In a certain school,20% of student are below 8 years of age.The number of students above 8 years of age is two-third of the number of students of 8 years of age which is 48.What is the total number of students in the school?
Let's denote the total number of students in the school as "T."
According to the given information, 20% of students are below 8 years of age, which means 80% of students are 8 years of age or older. We also know that the number of students above 8 years of age is two-thirds of the number of students who are 8 years of age.
So, let X be the number of students who are 8 years of age. Then, the number of students above 8 years of age is (2/3)X.
We are given that X is 48, as stated in the question.
Now, we can set up an equation based on the percentages:
(80/100) * T = X + (2/3)X
First, simplify the equation:
(4/5) * T = X + (2/3)X
Now, plug in the value of X:
(4/5) * T = 48 + (2/3) * 48
Now, calculate:
(4/5) * T = 48 + 32
(4/5) * T = 80
Now, solve for T by multiplying both sides by (5/4):
T = (5/4) * 80
T = 100
So, the total number of students in the school is 100.
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