Suppose USD 1 equals AUD1.50 and EUR0.80. The exchange rate between the Australian Dollar and the Euro will be?

To find the exchange rate between the Australian Dollar (AUD) and the Euro (EUR), we can use the given exchange rates of the USD to both AUD and EUR.

1. **Given exchange rates:**
   - 1 USD = 1.50 AUD
   - 1 USD = 0.80 EUR

2. **To find the AUD to EUR exchange rate:**
   
   Let's express the USD exchange rates in terms of AUD and EUR:
   \[
   1 \, \text{USD} = 1.50 \, \text{AUD} \implies 1 \, \text{AUD} = \frac{1}{1.50} \, \text{USD}
   \]
   \[
   1 \, \text{USD} = 0.80 \, \text{EUR} \implies 1 \, \text{EUR} = \frac{1}{0.80} \, \text{USD}
   \]

3. **Calculate the exchange rate between AUD and EUR:**

To find the exchange rate from AUD to EUR, we can divide the value of 1 AUD in USD by the value of 1 EUR in USD:
\[
\text{Exchange rate (AUD to EUR)} = \frac{1 \, \text{AUD in USD}}{1 \, \text{EUR in USD}} = \frac{\frac{1}{1.50}}{\frac{1}{0.80}} = \frac{0.80}{1.50}
\]

Now calculate the numerical value:
\[
\text{Exchange rate (AUD to EUR)} = \frac{0.80}{1.50} \approx 0.5333
\]

### Conclusion:
The exchange rate between the Australian Dollar (AUD) and the Euro (EUR) is approximately **0.5333 EUR per AUD**.

Would you like to know more details, or do you have any questions?

### Related Questions:
1. How do you calculate the inverse exchange rate between EUR and AUD?
2. What factors affect currency exchange rates?
3. How can one utilize arbitrage with exchange rates?
4. How do exchange rates fluctuate in international markets?
5. What are the risks involved in currency trading?

**Tip:** To quickly find exchange rates between two currencies, always use a common currency like the USD as an intermediary.

Learn how to calculate the exchange rate between the Australian Dollar (AUD) and the Euro (EUR) using the given USD rates. This example demonstrates how to divide exchange rates and apply currency conversion principles. Suitable for Grades 9-12 students.

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