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

Question

UpStudy AI · Accepted Answer

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**
Langa receives R15,000 and Koy receives R9,000.

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