Short Answer 
To divide R45360 among Ayanda, Zipho, and Palesa in a ratio of 4:3:2, first total the parts to get 9. Each part is worth R5040, leading to distributions of R20160 for Ayanda, R15120 for Zipho, and R10080 for Palesa, totaling R45360.
Step 1: Determine Total Parts
To divide the amount of R45360 among Ayanda, Zipho, and Palesa according to the ratio of 4:3:2, first find the total number of parts in the ratio. Add the parts together:
- Ayanda: 4 parts
- Zipho: 3 parts
- Palesa: 2 parts
This gives a total of 9 parts (4 + 3 + 2).
Step 2: Calculate Value of One Part
Next, calculate the value of one part by dividing the total sum of R45360 by the total number of parts (9). This will tell us how much each part is worth:
- Value per part: R45360 / 9 = R5040
Now we know that each part corresponds to R5040.
Step 3: Distribute the Total According to Parts
Lastly, distribute the money based on how many parts each person receives by multiplying the value per part by the number of parts each person gets:
- Ayanda: 4 parts x R5040 = R20160
- Zipho: 3 parts x R5040 = R15120
- Palesa: 2 parts x R5040 = R10080
Check the total: R20160 + R15120 + R10080 equals R45360, confirming the correct distribution.