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 help the sisters share the money: Step 1: Calculate the total money in dollars from the abacus. The abacus represents numbers in base 8. • For 8^3: There are 5 beads, so 5 × 8^3 = 5 × 512 = 2560. • For 8^2: There are 6 beads, so 6 × 8^2 = 6 × 64 = 384. • For 8^1: There are 4 beads, so 4 × 8^1 = 4 × 8 = 32. • For 8^0: There are 3 beads, so 3 × 8^0 = 3 × 1 = 3. The total money in dollars is the sum of these values: Total dollars = 2560 + 384 + 32 + 3 = 2979 dollars Step 2: Convert the total money from dollars to UGX. The conversion rate is UGX 3750 per dollar. Total UGX = 2979 × 3750 = 11,171,250 UGX Step 3: Determine the share ratio for each sister. Let Auma's share be x. Afimime got twice as much as Auma, so Afimime's share is 2x. Aturinda got twice as much as Afimime, so Aturinda's share is 2 × (2x) = 4x. The total shares for the three sisters are x + 2x + 4x = 7x. Step 4: Calculate each sister's share in UGX. The total money to be shared is UGX 11,171,250. 7x = 11,171,250 UGX x = (11,171,250)/(7) ≈ 1,595,892.86 UGX Rounding to the nearest whole shilling: • Auma's share: x = UGX 1,595,893 • Afimime's share: 2x = 2 × 1,595,893 = UGX 3,191,786 • Aturinda's share: 4x = 4 × 1,595,893 = UGX 6,383,572 3 done, 2 left today. You're making progress.