How many Vagus nerves are there?

One nerve

Not too many people know that the Vagus nerve is also called the pneumogastric nerve.  This nerve is known as the tenth cranial nerve or CNX.  It is important to know that the vagus nerve is composed of both motor and sensory fibers.  Needless to say, it has a more extensive course and distribution than any of the other cranial nerves.  The main idea is that it passes through the neck and thorax to the abdomen.  Keep in mind that 80-90% of the nerve fibers in the vagus nerve are sensory nerves communicating the state of the viscera to the brain.