Question
Nike had an expected sales ratio of 5:3:9 for Tembisa: Clayville : Mamelodi sales. Total Nike sales were R85 000. Calculate how much Nike sales each Township made.
Ask by Vaughn Weaver. in South Africa
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Tembisa sold R25,000, Clayville sold R15,000, and Mamelodi sold R45,000.
Solution
Let the sales for Tembisa, Clayville, and Mamelodi be in the ratio \(5:3:9\). This means:
- Tembisa has 5 parts.
- Clayville has 3 parts.
- Mamelodi has 9 parts.
**Step 1: Calculate the total number of parts**
\[
\text{Total parts} = 5 + 3 + 9 = 17
\]
**Step 2: Determine the value of one part**
The total sales are R85 000. Therefore, one part is equal to:
\[
\text{Value of one part} = \frac{85000}{17} = 5000
\]
**Step 3: Calculate the sales for each township**
- **Tembisa:**
\[
\text{Tembisa sales} = 5 \times 5000 = 25000
\]
- **Clayville:**
\[
\text{Clayville sales} = 3 \times 5000 = 15000
\]
- **Mamelodi:**
\[
\text{Mamelodi sales} = 9 \times 5000 = 45000
\]
Thus, the sales for each township are:
- Tembisa: R25 000,
- Clayville: R15 000,
- Mamelodi: R45 000.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To solve this, we first need to add the parts of the expected sales ratio: 5 + 3 + 9 = 17 parts. Now, we can find the value of each part by dividing total sales by the total parts: R85,000 ÷ 17 = R5,000 per part. Now, multiplying each part by the respective township ratio: - Tembisa: 5 parts x R5,000 = R25,000 - Clayville: 3 parts x R5,000 = R15,000 - Mamelodi: 9 parts x R5,000 = R45,000 So, Tembisa made R25,000, Clayville made R15,000, and Mamelodi made R45,000.
