CAYLEY 2006 Problem 20

The line y=-\frac34x+9 crosses the x-axis at P and the y-axis at Q. Point T(r,s) is on line segment PQ. If the area of \triangle{POQ} is three times the area of \triangle{TOP}, then the value of r+s is

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Answer Choices
A. 7
B. 10
C. 11
D. 14
E. 18