Math, asked by Mukulkinker4652, 1 month ago

the student of class 7 donated rupees 2401 in all, for prime minister's national relief fund. each student donated as many rupees as the no. of students in the class. find the no. of students in the class.

Answers

Answered by diarrhoea
0

Answer:

49

Step-by-step explanation:

x^2 = 2401

49x 49 = 2401 (prime factorisation)

Answered by mathdude500
6

\large\underline{\sf{Solution-}}

Given that,

  • The student of class 7, donated rupees 2401 in all, for prime minister's national relief fund.

  • Each student donated as many rupees as the number of students in the class.

Let Assume that

  • Number of students in the class 7 be x.

So,

  • Amount donated by each student be Rs x

As it is given that

↝ Total amount collected = Rs 2401

\rm :\longmapsto\:x \times x = 2401

\rm :\longmapsto\: {x}^{2}  = 2401

\rm \implies\:x =  \sqrt{2401}

To evaluate this square root, we have two methods. Using

1. Prime Factorization Method

2. Long Division Method

So, using Prime factorization method, we have

\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{7}}}&{\underline{\sf{\:\:2401 \:\:}}}\\ {\underline{\sf{7}}}& \underline{\sf{\:\:343 \:\:}} \\\underline{\sf{7}}&\underline{\sf{\:\:49\:\:}} \\ {\underline{\sf{7}}}& \underline{\sf{\:\:7\:\:}} \\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}

Or

Using Long Division Method, we have

\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\:49 \:\:}}}\\ {\underline{\sf{4}}}& {\sf{\:\:2401 \:\:}} \\{\sf{}}& \underline{\sf{\:\: \:16 \:  \:   \: \:\:}} \\ {\underline{\sf{87}}}& {\sf{\:\: 801   \:\:}} \\{\sf{}}& \underline{\sf{\:\:801 \:  \:}}  \\ {\underline{\sf{}}}& {\sf{\:\:0\:\:}} \end{array}\end{gathered}\end{gathered}

So,

\bf\implies \:x =  \sqrt{2401}  =49

So, it means

  • Number of students in class 7 is 49.

Similar questions