A gentleman has a household of 100 persons and orders that they be given 100 measures of grain. He directs that each man should receive three measures, each woman two measures, and each child half a measure. How many men, women, and children are there in this household? We are told that there is at least one man, one woman, and one child. (From the for Quickening a Young Mind by Alcuin [c. 732-804], the Abbot of St. Martins at Tours. Alcuin was a friend and tutor to Charlemagne and his family at Aachen.)

Math 116: Egyptian numbers Examples of number systems- Egyptian Attic/Greek Mayan Traditional/Chinese Babylonian Hindu/ Arabic Egyptians used hieroglyphics to represent the corresponding number values: (the frog for 100,000 can also be substituted as a fish) examples: Base Systems: - In the US we use the base 10 system: this means we have digits from 0-9 System Base Digits Place values Binary 2 0,1 1,2,4,8,16,32 Quintary 5 0,1,2,3,4,5 1,5,25,125,625 Octal 8 0,1,2,3,4,5,6,7,8 1,8,64,512,4096 Ten 10 0,1,2,3,4,5,6,7,8, 1,10,1000