Question

Write the following as algebraic expressions:

A teacher had 54 pencils gave p pencils to each of his s students. How many pencils does he have left?

Answer 1

The teacher had 54 pencils.

He gave p×s pencils to his students.

No of pencils left with him = 54 - ps

Answer 2

The number of pencils does teacher have left is  54 - p s    

Step-by-step explanation:

Given as :

Total numbers of pencil does teacher have initially = x = 54

Total number of students  = s

Total number of pencils given to each students = p

Let The number of pencils does teacher have left = y pencils

According to question

Total numbers of pencil does teacher have initially = Total number of pencils given to each students × Total number of students + The number of pencils does teacher have left

i.e   x = p × s + y

Or,  y = 54 - p × s

∴     y = 54 - p s

So, The number of pencils does teacher have left  = y = 54 - p s

Hence, The number of pencils does teacher have left is  54 - p s     Answer