1. **State the problem:** Nadia converted some pounds at either Shop A or Shop B and received €64.96. We need to find the smallest amount in pounds she could have converted. 2. **Identify conversion rates:** - Shop A: £40 → €46.40, so rate is $$\frac{46.40}{40} = 1.16$$ euros per pound. - Shop B: £72 → €80.64, so rate is $$\frac{80.64}{72} = 1.12$$ euros per pound. 3. **Calculate pounds converted at each shop for €64.96:** - At Shop A: pounds = $$\frac{64.96}{1.16} = 56$$ pounds. - At Shop B: pounds = $$\frac{64.96}{1.12} = 58$$ pounds. 4. **Determine the smallest amount:** - Between 56 pounds (Shop A) and 58 pounds (Shop B), the smallest amount is **56 pounds**. **Final answer:** Nadia could have converted **56 pounds** at Shop A to receive €64.96.