Question

In a school, students of class VIIl collected 7921 as donations to help flood victims. Each student gave as many rupees as their number in the class. Find the number of students in the class and the amount of money given by each student. What value did the students show by collecting donations?​

Answer 1

Answer:

Let x be the number of students in the class.

Thus, amount deposited by a student is Rs. x

If, each student deposits Rs. x for Prime Ministers National Relief Fund in a class of x students, then the total sum donated by the class =x

2

Now,

x

2

=2401

⇒x=

2401

=

7×7×7×7

=7×7

=49

Thus, the number of students in the class =49

Answer 2

Answer:

Let x be the number of students in the class.

Thus, amount deposited by a student is Rs. x

If, each student deposits Rs. x for Prime Ministers National Relief Fund in a class of x students, then the total sum donated by the class =x^2.

 

Now,

    x^2  =2401

⇒x=  $\sqrt{2401}$

​  

           = [tex]\sqrt{ 7 \times 7 \times 7 \times 7 }[/tex]  

           =7×7

           =49

Thus, the number of students in the class = 49