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Chain-link conversion for money

  1. Aug 21, 2015 #1
    1. The problem statement, all variables and given/known data
    I have the following question to answer: "A U.S. dollar equals 0.716 European euros, and a Japanese yen equals 0.00776 European euros. How much Japanese yen equals a U.S. dollar?"

    2. Relevant equations


    3. The attempt at a solution
    To solve the problem, I tried chain-link conversion (as would be done with physics quantities):

    ##
    \displaystyle1US ~ \cdot ~ \frac{0.716euro}{1US} ~ \cdot ~ \frac{0.00776yen}{1euro}
    ##

    Multiplying this out, I get 0.00556. Which should mean that 1 dollar is equivalent to 0.00556 yen. However, the answer is that one U.S. dollar is equivalent to 90.9 yen. What am I doing wrong?
     
  2. jcsd
  3. Aug 21, 2015 #2

    SteamKing

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    Your conversion has 0.00776 yen = 1 euro, which is bass ackwards from the problem statement that 1 yen = 0.00776 euro.
     
  4. Aug 21, 2015 #3
    Oh, wow. I feel stupid. Thanks!
     
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