Question

$26$ children of the class $A$ grade in an exam. It is $65\% $ of the total number in the class. How many are there in the class?

Answer 1

Hint: In order to solve this question, we need to assume the total number of students as the variable at first and then by using the statement that $26$ children of the class $A$ grade in an exam. It is $65\% $ of the total number in the class to form an equation and then we will solve the equation to get our answer.

Complete step-by-step answer:
Let us first of all understand the question which says that $26$ children of the class $A$ grade in an exam. It is $65\% $ of the total number in the class. So from this part of the problem, we will be able to solve the problem and get the total number of students.
Let us assume that the total number of students in the class be $x$
Now it is given that $26$ children of the class $A$ grade in an exam which is $65\% $ of the total number in the class. This means that
$65\% {\text{ of }}x = 26$
In order to solve for $x$, we need to solve the above equation.
$\dfrac{{65}}{{100}}(x) = 26$
$x = \dfrac{{26(100)}}{{65}} = 40$
Hence we get that total number of students$ = 40$

Note: This question can be made more complicated by changing the statement to “$65\% $ of the students got $A$ grade while the $35\% $ did not get the $A$ grade.” What will we do in that case?
If the question says $50$, then we can find the percentage of A grade students by subtracting $35$ from the $100$ or we can form the equation
$35\% {\text{ of }}x = x - 26$
where $x$ is the total number of students.