+11912 The students of class 8 of a school donated Rs2401 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?
For a hint to just to tell you that of which chapter this question belongs to>Squares and Square Roots!And for the topic, we have just learnt how to take out square roots using the method of LCM so can anyone please tell me how to solve this!i have no idea about it!
+118608 Okay for my easy example you would have
$$5^2=25$$
For your harder question you would have
$$N^2=2401$$
There are N children in the class. Each child gives N repees. That is a total of N*N rupees.
But you are told that 2401 rupees are saved up.
so $$N*N=2401$$
Does that make more sense Rosala?
+118608 Hi Rosala,
When ever you get a difficult question you try to think of a similar style question that is much easier.
If you can do the easy one then you can use the same method and get the answer to the hard one.
Say there are 5 children in the class. Then each child would donate 5 rupees.
That would be a total of 5+5+5+5+5=25 rupees OR 5^2 rupees.
NOW in your class you do not know how many students there are so just let there be N students.
Can you set up the equation and solve it now Rosala.
If you can't I will do more but it would be really good if you could finish it on your own.
+11912 Melody can u just give me a hint of how to start the answer!just how to do the starting then i'll try more myself!
+118608 Okay for my easy example you would have
$$5^2=25$$
For your harder question you would have
$$N^2=2401$$
There are N children in the class. Each child gives N repees. That is a total of N*N rupees.
But you are told that 2401 rupees are saved up.
so $$N*N=2401$$
Does that make more sense Rosala?
+11912 Oh sorry MElody i hadnt read your answer with much concentration!ive got the answer!
Let the no. of students be = x
let the amount paid by each student be = x
x * x = x^2 = 2401
√2401
(after taking the LCM of 2401) √2401=√ 7*7*7*7
√2401 = 7*7
√2401= 49^2 ANSWER
Therefore , there are 49 students in the class who paid Rs49 each!
Am i correct Melody!
I just checked thats how my teacher has made us do!but i didnt copy from that!i used my own brain!
+118608 Yes Rosala that is excellent. 
My method that I described is good fo all sorts of questions. You should think about it and make good use of it. 
