Question

In a coeducational school, 45% of total students are girls. If there are 440 boys in the school, find the total number of girls in the school?

Answer 1

Hint: For the given question it is mentioned that in a co-educational school, 45% of the total students are girls. If there are 440 boys in the school, find the number of girls in the school. To solve this question or these kind of basic maths questions first we get boys percent by subtracting the girls percentage from total and we proceed further as below.

Complete step by step solution:
From the question it is given, \[\%\] of girls \[=45\%\]
Number of boys \[=440\]
The percentage of boys can be calculated by subtracting the percent of girls from the total percent.
Percentage of boys in school = \[45\%\] of total students
\[\Rightarrow 100-45\]
\[\Rightarrow 55\%\]
According to the question given,
Number of boys in school \[=440\]
Let total number of students in school \[=x\]
\[\Rightarrow 55\%\times x=440\]
Here we convert the percentage and re-write the above equation as follows.
\[\Rightarrow \dfrac{55}{100}\times x=440\]
Here we will send the terms in the left hand side of the equation to the right hand side of the equation. So the equation will be reduced as follows.
\[\Rightarrow x=440\times \dfrac{100}{55}\]
\[\Rightarrow x=800\]
Therefore total number of students in school \[\Rightarrow x=800\]
Number of girl = total number of students in school – total number of boys in school
\[\Rightarrow 800-440\]
\[\Rightarrow 360\] girls.
Therefore, the total number of girls in the school is 360.

Note:
Students must not make calculation mistakes which can lead the entire solution into a wrong one so students must be very careful in calculations. For example students must not make mistakes like equating the 45% to the no of boys that is \[\Rightarrow 45\%\times x=440\] which is wrong. So must not make mistakes like these which will lead the entire solution into a mistake.