There are 24% of boys in a school. If the number of girls is 456, find the total number of students in the school.
Question
There are 24% of boys in a school. If the number of girls is 456, find the total number of students in the school.
Solution
To find the total number of students in the school, we need to determine the number of boys first.
Given that 24% of the students are boys, we can calculate this by finding 24% of the total number of students.
Let's assume the total number of students in the school is represented by 'x'.
So, the number of boys in the school would be 24% of 'x', which can be written as (24/100) * x.
Now, we are given that the number of girls is 456.
Since the total number of students in the school is the sum of the number of boys and the number of girls, we can set up the equation:
(24/100) * x + 456 = x
To solve for 'x', we can simplify the equation:
(24/100) * x - x = -456
Multiplying both sides of the equation by 100 to eliminate the fraction, we get:
24x - 100x = -45600
Combining like terms, we have:
-76x = -45600
Dividing both sides of the equation by -76, we find:
x = -45600 / -76
Simplifying, we get:
x = 600
Therefore, the total number of students in the school is 600.
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