Question

The students of class VIII of a school donated 2025 in all, for the
donation in an old age home. Each student donated as many as
rupees as the number of students in the class. Find the number of
students in the class.​

Answer 1

Each student donated an equal sum of rs.
Total money donated =2025rs
No. of students = Amount of money donated by each student
Let no. of students/Amount of money be ‘x’
x square =2025
x = square root of 2025
x=45
Therefore ,no. of students/Amount of money donated by each student=45rs or 45 students

Answer 2

Given : The students of class VIII of a school donated 2025 in all, for the donation in an old age home. Each student donated as many as rupees as the number of students in the class.

　 ‎

To find : Find the number of students in the class.

　

Concept : These kinds of questions are from the chapter “Square roots”.

　

☯ Solution : We can solve this question by “Prime factorization” method.

　

Prime factorization of 2025 :

$:\implies\sf{2025 = 3 * 3 * 3 * 3 * 5 * 5}$

　

$:\implies\sf{\sqrt{2025} = 3^{4} * 5^{2}}$

　

$:\implies\sf{45 * 45 = 2025}$

　

$:\implies\sf{\sqrt{2025} = 45}$

　　

Therefore, 45 students are there in the class.