Question

7. 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.
526​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Given:-

Total amount donated=Rs. 2401

Amount donated by each student=No. of students in the class.

To find:-

Number of students in that class

Write the expression for amount donated:-

Total amount donated=(Donation by each student)×(Number of students in the class)

Also, Donation by each student=No. of students in the class(Given)

Let no. of students in the class=Donation by each student as x.

Therefore,

Therefore, Above situation becomes,

Total amount amount donated=(x)×(x) =(x)²

$\small \sf{x = \sqrt{(Total \: amount \: donated)} }$

Factorise the number of donations:-

The total amount of donation is Rs. 2401

2401=(7×7)×(7×)

No unpaired number, therefore it is a perfect square.

Find the square root of the number:-

2401=(7×7)×(7×7)

∴x=√2401=7×7=49

“x” which is the value of no. of students.

Therefore,the number of students in the class is 49.