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Currently, $1 will buy C$1.36 while $1.19 will buy €1. What is the exchange rate between the Canadian dollar and the euro?

C$1 = €0.735
C$1.36 = €1.19
C$1 = €1.19
C$1.36 = €0.6179
C$1 = €0.6179

1 Answer

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Final answer:

To calculate the exchange rate between the Canadian dollar and the euro, use the given US dollar conversions to establish a proportion and solve for the value of one euro in Canadian dollars, then find the reciprocal to express the value of one Canadian dollar in euros, which is C$1 = €0.6179.

Step-by-step explanation:

To find the exchange rate between the Canadian dollar (C$) and the euro (€), we can use the given information about how U.S. dollars (US$) convert into these two currencies. We know that $1 US converts to C$1.36 and US$1.19 converts to €1. To find the exchange rate between C$ and €, we can set up a proportion:

US$1 / C$1.36 = US$1.19 / €1

Now we solve for the value of 1 Euro in Canadian dollars:

€1 = C$1.36 * (US$1.19 / US$1)

€1 = C$1.6192

Therefore, to express this as the value of 1 Canadian dollar in euros, we simply take the reciprocal:

C$1 = €1 / C$1.6192

C$1 = €0.6179 (rounded to 4 decimal places)

The correct exchange rate is C$1 = €0.6179.

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