An abacus represents numbers in base 8. Use it to calculate the total money in dollars, then convert the total money from dollars to UGX. The conversion rate is UGX 3750 per dollar. Three sisters, Aum

The abacus represents numbers in base 8.

• For $8^3$: There are 5 beads, so $5 \times 8^3 = 5 \times 512 = 2560$.
• For $8^2$: There are 6 beads, so $6 \times 8^2 = 6 \times 64 = 384$.
• For $8^1$: There are 4 beads, so $4 \times 8^1 = 4 \times 8 = 32$.
• For $8^0$: There are 3 beads, so $3 \times 8^0 = 3 \times 1 = 3$. The total money in dollars is the sum of these values:

The conversion rate is UGX 3750 per dollar.

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 $2 \times (2x) = 4x$.
The total shares for the three sisters are $x + 2x + 4x = 7x$.

The total money to be shared is UGX 11,171,250.

Rounding to the nearest whole shilling:

• Auma's share: $x = \boxed{\text{UGX 1,595,893}}$
• Afimime's share: $2x = 2 \times 1,595,893 = \boxed{\text{UGX 3,191,786}}$
• Aturinda's share: $4x = 4 \times 1,595,893 = \boxed{\text{UGX 6,383,572}}$