Math Problem Statement

solve

On March 8, 2017, one British pound was worth 1.23 U.S. dollars. (a) On that date, how many dollars was 178.98 pounds worth? Round your answer to the nearest hundredth of a dollar. (b) On that date, how many pounds was 29.11 dollars worth? Round your answer to the nearest hundredth of a pound.

Solution

Solution:

We are given that 1 British pound = 1.23 U.S. dollars on March 8, 2017.

(a) Conversion from pounds to dollars:

To find how much 178.98 pounds is worth in dollars: Dollars=Pounds×Exchange rate\text{Dollars} = \text{Pounds} \times \text{Exchange rate} Dollars=178.98×1.23=220.1554\text{Dollars} = 178.98 \times 1.23 = 220.1554 Rounding to the nearest hundredth: Dollars=220.16\text{Dollars} = 220.16

(b) Conversion from dollars to pounds:

To find how much 29.11 dollars is worth in pounds: Pounds=DollarsExchange rate\text{Pounds} = \frac{\text{Dollars}}{\text{Exchange rate}} Pounds=29.111.23=23.6618\text{Pounds} = \frac{29.11}{1.23} = 23.6618 Rounding to the nearest hundredth: Pounds=23.66\text{Pounds} = 23.66


Final Answers:

(a) 178.98 pounds is worth 220.16 dollars.
(b) 29.11 dollars is worth 23.66 pounds.

Would you like more explanation or have any questions?


Related Questions:

  1. What is the formula for currency conversion, and why is it useful?
  2. How can you round numbers effectively in financial calculations?
  3. What are exchange rates, and how do they fluctuate over time?
  4. If 200 pounds were converted to dollars at 1.23, what would the result be?
  5. How would the answers change if the exchange rate was 1.20 instead of 1.23?

Tip: Always double-check the rounding to ensure your financial results are precise!

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Math Problem Analysis

Mathematical Concepts

Currency Conversion
Multiplication
Division
Rounding

Formulas

Dollars = Pounds × Exchange Rate
Pounds = Dollars ÷ Exchange Rate

Theorems

Basic Arithmetic Principles

Suitable Grade Level

Grades 6-8