2010 Cayley Problem 15

A loonie is a \$1 coin and a dime is a \$0.10 coin. One loonie has the same mass as 4 dimes. A bag of dimes has the same mass as a bag of loonies. The coins in the bag of loonies are worth \$400 in total. How much are the coins in the bag of dimes worth?

\textbf{(A)}\ \$40\quad \textbf{(B)}\ \$100\quad \textbf{(C)}\ \$160\quad \textbf{(D)}\ \$1000\quad \textbf{(E)}\ \$1600

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.