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Under a gold standard, if the price of an ounce of gold is 1,400 U.S. dollars and 1,300 Canadian dollars, what is the exchange rate between U.S. and Canadian dollars?

Short Answer

Expert verified
Answer: The exchange rate is 1.4 U.S. dollars per 1 Canadian dollar under the gold standard.

Step by step solution

01

Understand the given information

We are given the price of an ounce of gold in U.S. dollars (1,400) and Canadian dollars (1,300).
02

Set up a proportion

To find the exchange rate between U.S. dollars (USD) and Canadian dollars (CAD), we will set up a proportion using the gold prices given: (USD/Gold) : (CAD/Gold) = (USD/CAD)
03

Plug in the given values

Now, plug in the given values for the price of gold in U.S. dollars and Canadian dollars: (1400 USD/Gold) : (1300 CAD/Gold) = (USD/CAD)
04

Simplify the proportion

Simplify the proportion by multiplying both sides by 1300 to get the exchange rate (USD/CAD): (1400 USD/Gold) * (1300 CAD/Gold) = (1300 USD/CAD) * (1300 CAD/Gold) 1820000 USD CAD / Gold^2 = (1300 USD/CAD) * (1300 CAD) Now, divide by 1300 CAD: 1400 USD = (1300/1300) USD/CAD
05

Determine the exchange rate

The resulting simplified proportion gives us the exchange rate between U.S. dollars and Canadian dollars: 1.4 USD = 1 CAD The exchange rate is 1.4 U.S. dollars per 1 Canadian dollar under the gold standard.

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