1. **Problem statement:** Find how many Australian dollars are equivalent to 2024 Euros given the exchange rates: - 1 Australian dollar = 5.31 H.K. dollars - 100 H.K. dollars = 11.5 Euros 2. **Formula and approach:** We want to convert Euros to Australian dollars. We can use the chain of conversions: $$\text{Euros} \to \text{H.K. dollars} \to \text{Australian dollars}$$ 3. **Step 1: Convert Euros to H.K. dollars** Given 100 H.K. dollars = 11.5 Euros, so 1 Euro = $\frac{100}{11.5}$ H.K. dollars. Calculate: $$1 \text{ Euro} = \frac{100}{11.5} \approx 8.6957 \text{ H.K. dollars}$$ 4. **Step 2: Convert 2024 Euros to H.K. dollars** $$2024 \times 8.6957 = 17594.78 \text{ H.K. dollars}$$ 5. **Step 3: Convert H.K. dollars to Australian dollars** Since 1 Australian dollar = 5.31 H.K. dollars, $$1 \text{ H.K. dollar} = \frac{1}{5.31} \text{ Australian dollars}$$ So, $$17594.78 \times \frac{1}{5.31} = 3313.9 \text{ Australian dollars}$$ 6. **Step 4: Round to nearest Australian dollar** $$3313.9 \approx 3314$$ **Final answer:** 3314 Australian dollars