Question

In a certain school, there are k classes with n students in each class. If a total of p pencils are distributed equally among the students, how many pencils are there for each student?
a) $ \dfrac{p}{kn} $
b) $ \dfrac{kn}{p} $
c) $ \dfrac{np}{p} $
d) $ npk $

Answer 1

Hint: Here, in this given question, first of all we are going to find the number of students in total in the school by multiplying the number of classes with the number of students in each class. Then we are going to divide the total number of pencils that is p by the total number of students in order to get our answer as the number of pencils distributed to each student.

Complete step-by-step answer:
In this given question, we are given that in a certain school, there are k classes with n students in each class.
A total of p pencils are distributed equally among the students. We are going to find the number of pencils distributed to each student.
The number of total students in the school is the number of classes multiplied with the number of students in each class that is $ k\times n=kn $ .
Now, the total number of pencils is p.
So, pencils distributed to each child is total number of pencils divided by total number of students that is
 $ p\div kn=\dfrac{p}{kn} $ .
Hence, $ \dfrac{p}{kn} $ pencils are given to each student.
Therefore, the correct option to this question is option (a) $ \dfrac{p}{kn} $ .

Note:In this sort of question, we must be careful while taking into consideration the quantities and must not make mistakes while taking the variables for calculations. For example, in the question, it is given that the total number of pencils in p and they are distributed equally. If it were not given to be equally distributed, we cannot divide it by the total number of students as it would be applicable only in the case where each student gets an equal number of pencils.