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In London, potatoes cost [tex]£0.45[/tex] per lb.

In Dublin, potatoes cost [tex]\epsilon 1.48[/tex] per kilogram.

[tex]\[
\begin{array}{l}
1 \text{ kg} = 2.2 \text{ lbs} \\
£1 = \epsilon 1.15
\end{array}
\][/tex]

In which city are potatoes better value for money, London or Dublin?

You must show your work.


Sagot :

### 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.