Vlad Ţepeş asked the Hungarian king for assistance.  He received no support despite promises made by Corvinus and instead called for a mobilization that included "not only men of military age, but also of women and of children from the age of twelve up; and included Gypsy slave contingents." Various sources mention the strength of his army to be between 22,000 and 30,900, with the most popular accepted number set at 30,000. The letter of Leonardo Tocco which put the numbers of the Turkish army at an exaggerated strength of 400,000, exaggerated also the Wallachian strength which was estimated at 200,000. The majority of the army consisted of peasants and shepherds, while the boyars on horseback—who were few in numbers—were armed with lances, swords, and daggers and wore chainmail as armour. Vlad's personal guard consisted of mercenaries from many countries and some Gypsies. Before battle, it is believed that Vlad told his men that "it would be better that those who think of death should not follow me".
Question: How many more men is the high end of the estimate of the smaller army to be than the low end?
Answer: 8900