Math Problem Statement

The exchange rates for US dollars are 1.32 British pounds and 1.23 Euros. (a)A notepad costs US$850. Calculate the price in: (i) British pound; and (ii) Euros. b)Convert 400 Euros to: (i) US dollars; and (ii) British pounds.

Solution

Let's solve the given exchange rate problems step by step.

Given exchange rates:

  • 1 US Dollar (USD) = 1.32 British Pounds (GBP)
  • 1 US Dollar (USD) = 1.23 Euros (EUR)

(a) A notepad costs US$850. Calculate the price in:

(i) British Pounds:

To convert US dollars to British pounds, divide the dollar amount by the exchange rate for GBP.

Price in GBP=8501.32643.94GBP\text{Price in GBP} = \frac{850}{1.32} \approx 643.94 \, \text{GBP}

(ii) Euros:

To convert US dollars to Euros, divide the dollar amount by the exchange rate for EUR.

Price in EUR=8501.23691.06EUR\text{Price in EUR} = \frac{850}{1.23} \approx 691.06 \, \text{EUR}

(b) Convert 400 Euros to:

(i) US Dollars:

To convert Euros to US dollars, multiply the amount in Euros by the exchange rate (USD/EUR).

Amount in USD=400×1.23=492USD\text{Amount in USD} = 400 \times 1.23 = 492 \, \text{USD}

(ii) British Pounds:

First, convert Euros to US dollars as done above, then convert the USD amount to British pounds.

  1. Convert 400 Euros to USD: 492USD492 \, \text{USD}
  2. Convert USD to GBP: 4921.32372.73GBP\frac{492}{1.32} \approx 372.73 \, \text{GBP}

Final answers:

  • (a) (i) 643.94 GBP (ii) 691.06 EUR
  • (b) (i) 492 USD (ii) 372.73 GBP

Do you want more details or have any questions?
Here are 5 related questions:

  1. How do exchange rates fluctuate in global markets?
  2. How can one use cross-currency exchange rates for different currencies?
  3. What role does the foreign exchange market play in international trade?
  4. How can you calculate profit/loss when converting currencies?
  5. What impact does inflation have on exchange rates?

Tip: When converting between currencies, always check if the exchange rates have changed, as they can fluctuate frequently.

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Math Problem Analysis

Mathematical Concepts

Currency Conversion
Proportions

Formulas

Price in GBP = Amount in USD ÷ Exchange Rate (USD/GBP)
Price in EUR = Amount in USD ÷ Exchange Rate (USD/EUR)
Amount in USD = Amount in EUR × Exchange Rate (USD/EUR)
Amount in GBP = Amount in USD ÷ Exchange Rate (USD/GBP)

Theorems

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Suitable Grade Level

Grades 9-12