In order to draw the free body diagram, let's draw the cart as a rigid object and each external applied force acting on this rigid object.
Also, the bigger the magnitude of the force, the bigger the arrow we draw to represent this force.
So we have:
Since the force to the left is greater than the force to the right and they are acting in opposite directions, the resulting force is the difference of the magnitudes and the resulting force is to the left. Therefore the blue team is the winner.
