unable to solve this reserve requirement problem?

Question

"At one time, the country of Sylvania had no banks, but had currency of $10 million. Then a banking system was established with a reserve requirement of 20 percent. The people of Sylvania now keep half their money in the form of currency and half in the form of bank deposits. If banks do not hold excess reserves, how much currency do the people of Sylvania now hold?"

The answer is $8.33 million, but how do you get there?

Answer 1

I can get $8MM but I can't get $8.33MM. It may be a rounding error on my part?