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In this problem, Rory exchanges £30 for €37.50 at an airport, and you're asked to find the missing values for two exchange rates: 

1. The exchange rate from pounds (£) to euros (€).
2. The reverse exchange rate from euros (€) to pounds (£).

### To find the missing values:

#### 1. £1 to €
You are given that £30 is exchanged for €37.50. So, the exchange rate per pound is:
\[
\frac{37.50}{30} = 1.25
\]
Thus, **£1 = €1.25**.

#### 2. €1 to £
The reverse exchange rate is simply the reciprocal of the pound-to-euro rate:
\[
\frac{1}{1.25} = 0.8
\]
Thus, **€1 = £0.80**.

### Final answers:
- a: £1 = €1.25
- b: €1 = £0.80

Would you like more details on the steps? Here are five related questions to expand your understanding:

1. How do you calculate exchange rates if given different currencies and amounts?
2. Why is the reverse exchange rate the reciprocal of the original rate?
3. How can exchange rates fluctuate and affect these types of conversions?
4. What is the best method to convert between multiple currencies quickly?
5. How do you handle commissions or fees in currency exchange calculations?

**Tip:** Always double-check exchange rates before making a conversion to ensure accuracy, especially when large amounts are involved!

At an airport, Rory exchanges £30 for €37.50. What are the missing values in the equations below for this exchange rate?

Learn how to calculate the exchange rates between pounds and euros with a real-world example of exchanging £30 for €37.50. Understand the forward and reciprocal exchange rates, suitable for students in Grades 6-9.

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