FERMAT 2013 Problem 24

In the diagram, \triangle{PQR} has S on PR and V on RQ. Segments QS and PV intersect at T. Segments RT and SV intersect at U. If the area of \triangle{RST} is 55, the area of \triangle{RTV} is 66, and the area of \triangle{RSV} is 77, then the area of \triangle{PQU} is

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Answer Choices
A. 869
B. 836
C. 840
D. 864
E. 847