1. **State the problem:** Amber converted some pounds to euros at one of two airports with different exchange rates and received €55.89. We need to find the smallest amount of pounds she could have converted. 2. **Given exchange rates:** - Airport 1: £1 = €1.15 - Airport 2: £1 = €1.08 3. **Formula:** To convert pounds to euros, use: $$\text{euros} = \text{pounds} \times \text{exchange rate}$$ 4. **Find pounds for each airport:** We want pounds, so rearrange: $$\text{pounds} = \frac{\text{euros}}{\text{exchange rate}}$$ 5. **Calculate pounds for Airport 1:** $$\text{pounds}_1 = \frac{55.89}{1.15}$$ Show cancellation for clarity: $$\text{pounds}_1 = \frac{55.89}{\cancel{1.15}}$$ Calculate: $$\text{pounds}_1 \approx 48.6$$ 6. **Calculate pounds for Airport 2:** $$\text{pounds}_2 = \frac{55.89}{1.08}$$ Show cancellation: $$\text{pounds}_2 = \frac{55.89}{\cancel{1.08}}$$ Calculate: $$\text{pounds}_2 \approx 51.75$$ 7. **Interpretation:** Since Amber wants the smallest amount of pounds converted, she would have converted at Airport 1 where the exchange rate is higher, so fewer pounds are needed to get €55.89. **Final answer:** $$\boxed{48.6}$$ pounds is the smallest amount she could have converted.