### Problem Statement
In London, potatoes cost £0.45 per pound (lb).
In Dublin, potatoes cost €1.48 per kilogram (kg).
Conversions:
- 1 kilogram (kg) = 2.2 pounds (lbs)
- £1 = €1.15
Determine which city offers better value for money for potatoes.
### Step-by-Step Solution
1. Convert the price in Dublin from per kilogram to per pound:
- We know that 1 kilogram = 2.2 pounds.
- Therefore, [tex]\(\text{Price in Dublin per lb} = \frac{1.48 \, \text{€/kg}}{2.2 \, \text{lbs/kg}}\)[/tex].
Calculation:
[tex]\[
\text{Price in Dublin per lb} = \frac{1.48}{2.2} \approx 0.6727 \, \text{€/lb}
\][/tex]
2. Convert the price in Dublin per pound from euros to pounds:
- We know the exchange rate is £1 = €1.15.
- Therefore, to convert €0.6727 per pound to pounds, we use the formula: [tex]\(\text{Price in Dublin per lb in £} = \frac{0.6727 \, \text{€/lb}}{1.15 \, \text{€/£}}\)[/tex].
Calculation:
[tex]\[
\text{Price in Dublin per lb in £} = \frac{0.6727}{1.15} \approx 0.5850 \, \text{£/lb}
\][/tex]
3. Compare the prices in London and Dublin in £ per lb:
- Price in London = £0.45 per lb.
- Price in Dublin (converted) = £0.5850 per lb.
Since £0.45 (price in London) is less than £0.5850 (price in Dublin), potatoes are cheaper in London.
### Conclusion
Therefore, potatoes are better value for money in London.
