Let the weight of one brick be x kg. The statement says 'one brick is one kilogram and half a brick heavy', which means: x = 1 kg + (x/2) kg. Solving: x - x/2 = 1, so x/2 = 1, therefore x = 2 kg. The key is recognizing that 'half a brick' refers to half of the brick's weight, not a separate half-brick object.