Question

$44\%$ of the students of a class are girls. If the number of girls is $6$ less than the number of boys, how many students are there in the class?

Answer 1

STEP 1 : Assuming the given values in the form of $x$

Let the total number of students in the class be $x$

Number of girls in the class $=44\%ofx=\frac{44x}{100}$

Number of boys in the class $=56\%ofx=\frac{56x}{100}$

STEP 2 : Forming the required equation

Given that Number of girls is $6$ less than the number of boys

i.e. Number of boys $-$Number of girls $=6$

$\Rightarrow \frac{56x}{100}-\frac{44x}{100}=6$

STEP 3 : Finding the value of $x$

$\Rightarrow \frac{56x-44x}{100}=6$

$\Rightarrow \frac{12x}{100}=6$

Transposing $\frac{12}{100}$ to R.H.S. we get

$x=\frac{6\times 100}{12}=\frac{600}{12}$

$x=50$

Hence, the total number of students in the class is $50$.