The statement that best describes the actions of Francisco Pizarro and his men when they conquered the Incas is:
They took the leader, Atahualpa, and demanded gold in return for his freedom, but after receiving the gold, they killed Atahualpa anyway.
This accurately reflects the events that transpired during the conquest of the Inca Empire. After capturing Atahualpa, Pizarro and his men demanded a large ransom in gold, which was paid. However, they executed Atahualpa despite receiving the ransom.