7. Langa and koy share R24 000 in the ratio 5 : 3. How much does each get?

To determine how much Langa and Koy each receive from R24,000 based on the ratio **5 : 3**, follow these steps: ### Step 1: Understand the Ratio The ratio **5 : 3** means that for every **5 parts** Langa receives, Koy receives **3 parts**. ### Step 2: Calculate the Total Number of Parts Add the parts of the ratio together: \[ Total\ Parts = 5 + 3 = 8 \] ### Step 3: Determine the Value of One Part Divide the total amount by the total number of parts to find the value of one part: \[ Value\ of\ One\ Part = \frac{R24,000}{8} = R3,000 \] ### Step 4: Calculate Each Person's Share - **Langa's Share:** \[ Langa = 5\ parts \times R3,000 = R15,000 \] - **Koy's Share:** \[ Koy = 3\ parts \times R3,000 = R9,000 \] ### Step 5: Verify the Total Ensure that the sum of both shares equals the total amount: \[ R15,000 (Langa) + R9,000 (Koy) = R24,000 \] ### **Final Answer:** - **Langa receives R15,000** - **Koy receives R9,000**