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
Step 1: Identify the masses of the three containers of maize from the two farmers and the miller. Masses: 100 kg, 150 kg, 200 kg. The greatest mass m kg per new container must divide each original mass exactly (using all maize from each without mixing sources). Thus, m = (100, 150, 200). Step 2: Compute (100, 150) using Euclidean algorithm. 150 = 1 × 100 + 50 100 = 2 × 50 + 0 So, (100, 150) = 50 kg. Step 3: Now compute (50, 200). 200 = 4 × 50 + 0 So, (50, 200) = 50 kg. Step 4: Verify 50 kg divides each mass. 100 ÷ 50 = 2 containers 150 ÷ 50 = 3 containers 200 ÷ 50 = 4 containers All integers, uses all maize. No larger common divisor exists. The greatest mass of maize per container is 50 kg.