Question

The students of class 8 of a school donated rs 2401 in all,for prime ministers national relief fund. each student donatsd as many rupees as the number of students in a class. find the number of students in the class?

Answer 1

Prime factorization of 2401 = 7^2 * 7^2.

Square root of 2401 = 7 * 7

                                   = 49.

So, there are 49 students in the class.


Hope this helps!

Answer 2

${\huge{\fcolorbox{cyan}{lime}{\fcolorbox{yellow}{blue}{\sf{\color{yellow}{QuesTion:- }}}}}}$

The students of class VIII of a school donated £2401 in all, for Prime minister's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

$</p><p>{\huge{\fcolorbox{fuchsia}{lime}{\fcolorbox{yellow}{blue}{\sf{\color{yellow}{AnsWer:- }}}}}}$

Let X be the no. of students in the class + Total money donated by them.

$\implies \tt{x \times x = 2401}$

$\implies \tt{ {x}^{2} = 2401}$

$\implies \tt{ x = \sqrt{2401} }$

$\implies \tt{ x = 7 \times 7 \times 7 \times 7 }$

$\implies \tt{ x = {7}^{2} }$

$\implies \tt{ x = {49}}$

Number of students in class is 49.