Three blocks attached by cords loop over frictionless pulleys...?

Question

http://www.webassign.net/hrw/W0080-N.jpg

The above site gives the diagram to the problem that I am working with.

It shows three blocks attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table; the masses are Block A = 6.00 kg, Block B = 8.00 kg, and Block C = 10.0 kg. When the blocks are released, what is the tension in the cord at the right?

I tried setting this problem up so that I subtracted my right tension equation (or atleast what I thought was my right tension) from my left tension equation, and it came out to a really small number. I've been attempting several ways and I just have no idea how to do this. Any help would be appreciated very much!!

Answer 1

For discussion, let's call g=10m/s^2; then F(A)=-60N, F(C)=+100N, F(total) = +40N. This F accelerates 24kg at 1.67m/s^2. The F supporting C is m*(g-1.67).