# What is the exchange rate between dollars and Swiss francs if one dollar is convertible into 1/20 ounce of gold and one Swiss franc is convertible into 1/40 ounce of gold?

Question
Ratios, rates, proportions
What is the exchange rate between dollars and Swiss francs if one dollar is convertible into 1/20 ounce of gold and one Swiss franc is convertible into 1/40 ounce of gold?

2021-01-24
Given: 1 dollar=$$\displaystyle\frac{{1}}{{20}}$$ ounce of gold
1 Swiss franc=$$\displaystyle\frac{{1}}{{40}}$$ ounce of gold
Since $$\displaystyle\frac{{1}}{{20}}=\frac{{2}}{{40}}={2}\cdot\frac{{1}}{{40}}:$$
1 dollar=$$\displaystyle\frac{{1}}{{20}}$$ ounce of gold
$$\displaystyle={2}\cdot\frac{{1}}{{40}}$$ ounce of gold $$\displaystyle={2}\cdot{1}$$ Swiss franc =2 Swiss franc
Thus the exchange rate between dollars and Swiss francs is 2 Swiss francs for every dollar.

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