https://file.aiquickdraw.com/mathbot/file/1726613352363wgeirsg7.jpg

The problem shown in the image involves converting pounds (£) to euros (€) at two different airports, and the goal is to find out the smallest amount of money Stephen could have converted to receive €43.47.

The exchange rates are:
- Airport 1: £1 = €1.15
- Airport 2: £1 = €1.08

To solve this, we need to compute the amount of pounds he could have converted at each airport:

### Airport 1:
1. \( £x = \frac{€43.47}{€1.15} \)
   \[
   x = \frac{43.47}{1.15}
   \]

### Airport 2:
2. \( £x = \frac{€43.47}{€1.08} \)
   \[
   x = \frac{43.47}{1.08}
   \]

Let's calculate these values to find the minimum.The calculations show:

- At **Airport 1** (with an exchange rate of £1 = €1.15), Stephen would need to convert approximately **£37.80**.
- At **Airport 2** (with an exchange rate of £1 = €1.08), Stephen would need to convert approximately **£40.25**.

Therefore, the smallest amount Stephen could have converted is **£37.80** at **Airport 1**.

Do you have any questions, or would you like more details? Here are some related questions you might want to explore:

1. How would the result change if the exchange rates were reversed?
2. What would Stephen receive if he converted £50 at both airports?
3. How do different exchange rates affect conversion calculations?
4. What if the exchange rate were £1 = €1.20 at a third airport?
5. How can fluctuations in exchange rates impact travelers' conversions?

**Tip:** Always check for exchange rates at multiple places before converting to save money on transactions!

Stephen converted some pounds at one of these airports and received €43.47. What is the smallest amount of money that he could have converted?

Solve a currency conversion problem where Stephen converted pounds to euros at different airport exchange rates. The goal is to find the smallest amount of pounds he could have converted to receive €43.47. This problem covers proportions and algebraic calculations. Suitable for students in Grade 7-9.

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