To solve this problem, we need to determine Leslie's share of the profit based on the given ratio and the amount of profit Freda received. Here's the step-by-step solution:
1. Identify the ratio: The ratio of Leslie's share to Freda's share is given as 7:5. This means for every 7 parts Leslie gets, Freda gets 5 parts of the profit.
2. Determine Freda's share: We are told that Freda's share of the profit is GHC19,500.00.
3. Calculate the total parts in the ratio:
The total parts in the ratio is the sum of the parts for Leslie and Freda:
[tex]\[
\text{Total parts} = 7 + 5 = 12
\][/tex]
4. Express Freda's share in parts:
Freda's part of the ratio can be written as:
[tex]\[
\text{Freda's share} = 5 \text{ parts}
\][/tex]
5. Find the value of one part:
Since Freda's share corresponds to 5 parts and we know the total amount for Freda, we can find the value of one part by dividing Freda's share by 5:
[tex]\[
\text{Value of one part} = \frac{\text{Freda's share}}{5} = \frac{19500}{5} = 3900
\][/tex]
6. Calculate Leslie's share:
Leslie's part of the ratio is 7 parts. To find the monetary value of Leslie's share, we multiply the value of one part by 7:
[tex]\[
\text{Leslie's share} = 7 \times 3900 = 27300
\][/tex]
So, Leslie's share of the profit is GHC27,300.00.
