# Chain-link conversion for money

1. Aug 21, 2015

### Mr Davis 97

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. Aug 21, 2015

### SteamKing

Staff Emeritus
Your conversion has 0.00776 yen = 1 euro, which is bass ackwards from the problem statement that 1 yen = 0.00776 euro.

3. Aug 21, 2015

### Mr Davis 97

Oh, wow. I feel stupid. Thanks!