2009 Cayley Problem 23

Angela and Barry share a piece of land. The ratio of the area of Angela's portion to the area of Barry's portion is 3:2. They each grow corn and peas on their piece of land. The entire piece of land is covered by corn and peas in the ratio 7:3. On Angela's portion of the land, the ratio of corn to peas is 4:1. What is the ratio of corn to peas for Barry's portion?

\textbf{(A)}\ 11:9\quad \textbf{(B)}\ 2:3\quad \textbf{(C)}\ 3:2\quad \textbf{(D)}\ 3:7\quad \textbf{(E)}\ 1:4

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.