Final answer:
The mass of the empty lorry is found by dividing the total mass of the lorry when loaded with bricks (11600 kg) by 3, which yields 3866.67 kg.
Step-by-step explanation:
To find the mass of the empty lorry, we need to set up an equation using the given information. Since the loaded lorry is 3 times the mass of the empty lorry, let the mass of the empty lorry be m. Therefore, m + the mass of the bricks is 11600 kg. The mass of the bricks alone is then 11600 kg - m. Given that 11600 kg is 3 times the mass of the empty lorry, we can write the equation as 3m = 11600 kg.
Dividing both sides by 3 to solve for m gives us:
m = 11600 kg / 3
m = 3866.67 kg
Thus, the mass of the empty lorry is 3866.67 kg.