This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Understand the problem statement. Let the number of students in the class be x. According to the problem, each student donated as many rupees as the number of students in the class. So, each student donated x rupees. The total amount donated is the number of students multiplied by the amount each student donated. Total donation = x × x = x^2. Step 2: Set up the equation. The total amount donated is given as ₹ 2401. So, we have the equation: x^2 = 2401 Step 3: Find the value of x by taking the square root of 2401. x = sqrt(2401) Step 4: Calculate the square root of 2401 using prime factorization. Find the prime factors of 2401: 2401 = 7 × 343 343 = 7 × 49 49 = 7 × 7 So, 2401 = 7 × 7 × 7 × 7 = 7^4. Now, find the square root: x = sqrt(7^4) = 7^4/2 = 7^2 = 49 The number of students in the class is 49. The number of students in the class is 49. Got more? Send 'em!