In ΔABC, D is the midpoint of BC. E is a point on AC such that AE :
EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line
segments AD and FE intersect at point O. What is the ratio of the area
of ΔDOF to the area of ΔDOE?

1) 3:4
2) 9:8
3) 8:9
4) none