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's how to solve the problem about sharing rice: Step 1: Calculate the total number of ratio parts. The ratio for Mary, Joan, and Agnes is 2:4:3. Total parts = 2 + 4 + 3 = 9 Step 2: Determine the value of one ratio part in kilograms. The total amount of rice is 810\, kg. Value per part = 810\, kg9 = 90\, kg/part Step 3: Calculate each person's share in kilograms. Mary's share: 2 × 90\, kg = 180\, kg Joan's share: 4 × 90\, kg = 360\, kg Agnes's share: 3 × 90\, kg = 270\, kg Step 4: Convert each person's share from kilograms (kg) to hectograms (Hg). Recall that 1\, kg = 10\, Hg. Mary's share: 180\, kg × 10\, Hg/kg = 1800\, Hg Joan's share: 360\, kg × 10\, Hg/kg = 3600\, Hg Agnes's share: 270\, kg × 10\, Hg/kg = 2700\, Hg Mary got 1800 Hg. Joan got 3600 Hg. Agnes got 2700 Hg. 3 done, 2 left today. You're making progress.