Math quiz answer: what ratio ATOM-to-KUJI to make a profit

The solution to this ATOM/KUJI math problem is simply an algebraic expression of unit-resolution. I scared some of you off, but hear me out.

1 $ATOM / $11
1 $KUJI / $1.081

So: how many $ATOM / $KUJI to get $12?

• 0.091 $ATOM/$USDC
• 0.098 $ATOM/$KUJI for $ATOM at $11, BUT!
• 0.09 $ATOM/$KUJI for $ATOM at $12

QED