1. **Problem statement:** Given the exchange rate €1 = £0.72, (a) Find how much €410 is in £. (b) Find the £ to € exchange rate. 2. **Formula and rules:** To convert from euros (€) to pounds (£), multiply the amount in euros by the exchange rate: $$\text{Amount in £} = \text{Amount in €} \times 0.72$$ To find the inverse exchange rate (from £ to €), take the reciprocal of the given rate: $$\text{£ to € rate} = \frac{1}{0.72}$$ 3. **Calculations:** (a) Convert €410 to £: $$410 \times 0.72 = 295.2$$ So, €410 is £295.2. (b) Calculate £ to € exchange rate: $$\frac{1}{0.72} \approx 1.3889$$ So, £1 is approximately €1.3889. 4. **Explanation:** - To convert currencies, multiply by the exchange rate. - To find the reverse rate, take the reciprocal. - This ensures consistent conversions between currencies. **Final answers:** (a) £295.2 (b) £ to € rate is approximately 1.3889