Ama, Kofi, and Esi shared an amount of money. Ama received GHS 60,000, Kofi received 5/12 of the remainder, and Esi received the rest. What is the ratio of their shares?

The total amount of money is GHS 300,000.
Ama received GHS 60,000.
The remainder after Ama's share is:

$$\text{Remainder} = \text{GHS } 300,000 - \text{GHS } 60,000 = \text{GHS } 240,000$$

Kofi received $\frac{5}{12}$ of the remainder.

$$\text{Kofi's share} = \frac{5}{12} \times \text{GHS } 240,000$$ $$\text{Kofi's share} = 5 \times \frac{240,000}{12}$$ $$\text{Kofi's share} = 5 \times 20,000$$ $$\text{Kofi's share} = \text{GHS } 100,000$$

Esi received the rest of the money from the remainder.

$$\text{Esi's share} = \text{Remainder} - \text{Kofi's share}$$ $$\text{Esi's share} = \text{GHS } 240,000 - \text{GHS } 100,000$$ $$\text{Esi's share} = \text{GHS } 140,000$$

The shares are Ama : Kofi : Esi.

$$\text{Ratio} = 60,000 : 100,000 : 140,000$$

Divide each number by 10,000 to simplify:

$$\text{Ratio} = 6 : 10 : 14$$

Divide each number by 2 to simplify further:

$$\text{Ratio} = 3 : 5 : 7$$

The money was shared in the ratio 3 : 5 : 7.

$$3 : 5 : 7$$