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.
(ii) Euros:
To convert US dollars to Euros, divide the dollar amount by the exchange rate for 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).
(ii) British Pounds:
First, convert Euros to US dollars as done above, then convert the USD amount to British pounds.
- Convert 400 Euros to USD:
- Convert USD to 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:
- How do exchange rates fluctuate in global markets?
- How can one use cross-currency exchange rates for different currencies?
- What role does the foreign exchange market play in international trade?
- How can you calculate profit/loss when converting currencies?
- 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