10. Mazwi was chosen to go on a netball tour to Australia. Her mother gave her R500 for spending money. 10.1 How many Australian dollars (AUD) did she get if the exchange rate wh R1 $$ =0,1262 $$ AUD? 10.2 She bought a scarf for her mother for 10 AUD. What is the price of the scarf in rand? 11. One Taiwanese dollar (TWD) $$ = $$ RO, 2674 . 11.1 How many TWD would you get if you have R250 to exchange? 11.2 You buy a calculator for 270 TWD during your holiday. What is the price of the calculator in rand?

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UpStudy AI · Accepted Answer

Sure, let's solve each part step by step using the given exchange rates.

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### **Problem 10: Rand (R) and Australian Dollar (AUD) Conversion**

**Given:**
- Exchange Rate: R 1 = 0.1262 AUD

#### **10.1. How many Australian dollars (AUD) did Mazwi get if she exchanged R500?**

**Calculation:**
$$ \text{AUD} = \text{Rand} \times \text{Exchange Rate} $$
$$ \text{AUD} = 500 \, R \times 0.1262 \, \frac{\text{AUD}}{R} $$
$$ \text{AUD} = 63.1 \, \text{AUD} $$

**Answer:**  
Mazwi received **63.1 AUD**.

---

#### **10.2. Mazwi bought a scarf for her mother for 10 AUD. What is the price of the scarf in rand?**

**Calculation:**
First, determine how many rand equal 1 AUD:
$$ 1 \, R = 0.1262 \, \text{AUD} $$
$$ 1 \, \text{AUD} = \frac{1}{0.1262} \, R $$
$$ 1 \, \text{AUD} \approx 7.925 \, R $$

Now, calculate the price in rand:
$$ \text{Rand} = \text{AUD} \times \text{Rand per AUD} $$
$$ \text{Rand} = 10 \, \text{AUD} \times 7.925 \, \frac{R}{\text{AUD}} $$
$$ \text{Rand} \approx 79.25 \, R $$

**Answer:**  
The scarf cost approximately **R79.25**.

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### **Problem 11: Rand (R) and Taiwanese Dollar (TWD) Conversion**

**Given:**
- Exchange Rate: 1 TWD = 0.2674 R

#### **11.1. How many TWD would you get if you have R250 to exchange?**

**Calculation:**
$$ \text{TWD} = \frac{\text{Rand}}{\text{Exchange Rate}} $$
$$ \text{TWD} = \frac{250 \, R}{0.2674 \, \frac{R}{\text{TWD}}} $$
$$ \text{TWD} \approx 934.53 \, \text{TWD} $$

**Answer:**  
You would receive approximately **934.53 TWD**.

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#### **11.2. You buy a calculator for 270 TWD during your holiday. What is the price of the calculator in rand?**

**Calculation:**
$$ \text{Rand} = \text{TWD} \times \text{Exchange Rate} $$
$$ \text{Rand} = 270 \, \text{TWD} \times 0.2674 \, \frac{R}{\text{TWD}} $$
$$ \text{Rand} \approx 72.198 \, R $$

**Answer:**  
The calculator costs approximately **R72.20**.

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### **Summary of Answers**

1. **10.1:** 500 R = **63.1 AUD**
2. **10.2:** 10 AUD ≈ **R79.25**
3. **11.1:** 250 R ≈ **934.53 TWD**
4. **11.2:** 270 TWD ≈ **R72.20**

Feel free to reach out if you have any more questions!
**Simplified Answers:** 1. **10.1:** 500 R = **63.1 AUD** 2. **10.2:** 10 AUD ≈ **R79.25** 3. **11.1:** 250 R ≈ **934.53 TWD** 4. **11.2:** 270 TWD ≈ **R72.20**

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Solution

Problem 10: Rand ® and Australian Dollar (AUD) Conversion

10.1. How many Australian dollars (AUD) did Mazwi get if she exchanged R500?

10.2. Mazwi bought a scarf for her mother for 10 AUD. What is the price of the scarf in rand?

Problem 11: Rand ® and Taiwanese Dollar (TWD) Conversion

11.1. How many TWD would you get if you have R250 to exchange?

11.2. You buy a calculator for 270 TWD during your holiday. What is the price of the calculator in rand?

Summary of Answers

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