The two sons cross first and one comes back.(100kg cross over, 50 kg come back)
One parent then crosses the river and stays at the other side while the son at that side then comes back. (100kg crosses over, 50 comes back)
The two boys again cross the river together to the other side, and one stays there while the other one comes back alone. (100kg crosses, 50kg comes back)
The remaining parent then crosses alone and the boy at that side, then comes back to fetch the other boy.(100kg over, 50kg back, 100 kg crosses one last time)