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Question 104660This question is from textbook discovering algebra assessment resources
: In October 2004,1 U.S dollar was equivalent to 1.23 Canadian dollars.1 european euro was equivalent to 8.20 Norwegian kroner,and 1 Norwegian krone was equivalent to 0.15 U.S. dollars. How many European euros were equivalent to 1 Canadian dollar?
Please help and show steps.My son and I have been stuck on this all night.this is a chapter 1-3 exam worksheet from Discovering Algebra(an investigative approach)But this problem is not in the book. thank you so much for your help.
This question is from textbook discovering algebra assessment resources
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In October 2004,1 U.S dollar was equivalent to 1.23 Canadian dollars.
1 european euro was equivalent to 8.20 Norwegian kroner,and
1 Norwegian krone was equivalent to 0.15 U.S. dollars.
How many European euros were equivalent to 1 Canadian dollar?
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1.23 Canadian = 1 U.S dollar
Divide by 1.23
1 Canadian = 0.813 US dollar
1 Canadian = (0.813 US dollar)(1 Norwegian krone)/(0.15 US dollar)
Notice that the "US dollar" cancels leaving you with kroners
1 Canadian = 5.42 Norwegian krone
1 Canadian = (5.42 Nor krone)(1 euro/8.20 Nor krone)
Notice that the "kroners" cancel leaving you with
1 Canadian = 0.660975.. euro
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1 Canadian dollar = 0.660975... european euro.
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You could do this all in one step:
1 Canadian[1 US/1.23 Can][1 kron/0.15 US][1 euro/5.42 kron] = 0.66 euro
Notice that the "Can", the "US", the "kron" all cancel leaving you with euro
These fractions are called conversion units because the numerator and the
denominator of each fraction are equal to one another. It's like writing
12 inches/ 1 ft.
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Cheers,
Stan H.
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