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
Here are the solutions to your problems: 1. To find the longest length of smaller cloth pieces of equal length, we need to find the Greatest Common Divisor (GCD) of 40 metres, 80 metres, and 100 metres. Step 1: Find the prime factorization of each length. 40 = 2 × 2 × 2 × 5 = 2^3 × 5^1 80 = 2 × 2 × 2 × 2 × 5 = 2^4 × 5^1 100 = 2 × 2 × 5 × 5 = 2^2 × 5^2 Step 2: Identify the common prime factors and their lowest powers. The common prime factors are 2 and 5. The lowest power of 2 is 2^2. The lowest power of 5 is 5^1. Step 3: Multiply these lowest powers to find the GCD. GCD(40, 80, 100) = 2^2 × 5^1 = 4 × 5 = 20 The longest length of the smaller cloth pieces is 20 metres. 2. To find the total number of people who walked in the three regions, we need to sum the number of people from each region. Step 1: Add the number of people from Region 1, Region 2, and Region 3. Total people = 468521 + 524026 + 314632 Step 2: Perform the addition. Total people = 1307179 The total number of people who walked in the three regions is 1,307,179.