Smallest Pound Amount 690C90

1. **State the problem:** Robyn converted some amount of money in pounds (£) to euros (€) at one of two airports. She received €68.31. We want to find the smallest amount of pounds she could have converted. 2. **Identify the exchange rates:** - Airport 1: £1 = €1.15 - Airport 2: £1 = €1.08 3. **Set up the formula:** The amount in euros is given by: $$\text{euros} = \text{pounds} \times \text{exchange rate}$$ 4. **Calculate pounds for each airport:** - For Airport 1: $$\text{pounds}_1 = \frac{68.31}{1.15}$$ - For Airport 2: $$\text{pounds}_2 = \frac{68.31}{1.08}$$ 5. **Calculate each value:** - Airport 1: $$\text{pounds}_1 = \frac{68.31}{1.15} = \frac{68.31}{\cancel{1.15}} = 59.4$$ - Airport 2: $$\text{pounds}_2 = \frac{68.31}{1.08} = \frac{68.31}{\cancel{1.08}} = 63.25$$ 6. **Interpretation:** Since Robyn received €68.31, the pounds converted must be at least the amount calculated. 7. **Find the smallest amount:** Between £59.4 (Airport 1) and £63.25 (Airport 2), the smallest amount of pounds converted is: $$\boxed{59.4}$$ **Answer:** The smallest amount of money Robyn could have converted is £59.4.