Let’s solve the questions step by step:

Given Data:

• 1 British Pound (£) = 1.23 U.S. Dollars ($)

(a) How many dollars was 180.46 pounds worth?

To convert pounds to dollars, use the formula: $\text{Dollars} = \text{Pounds} \times \text{Exchange Rate}$ Substitute the values: $\text{Dollars} = 180.46 \times 1.23 = 221.9658$ Round to the nearest hundredth: $\text{Dollars} = 221.97$

Answer: $221.97

(b) How many pounds was 17.63 dollars worth?

To convert dollars to pounds, use the formula: $\text{Pounds} = \frac{\text{Dollars}}{\text{Exchange Rate}}$ Substitute the values: $\text{Pounds} = \frac{17.63}{1.23} = 14.34146341$ Round to the nearest hundredth: $\text{Pounds} = 14.34$

Answer: 14.34 pounds

Would you like a more detailed breakdown or assistance with a similar problem?

Follow-up Questions

1. How do you calculate currency conversions with different exchange rates?
2. What does "rounding to the nearest hundredth" mean in mathematical terms?
3. Can you explain how exchange rates fluctuate over time?
4. How would the results change if the exchange rate were 1.30 instead of 1.23?
5. How can you verify the correctness of a currency conversion calculation?

Quick Tip:

Always double-check rounding instructions to avoid minor errors in calculations, especially when handling money!