let the "population of linton" be represented by the letter L
and the "popluation of ellmore" be represented by the letter E
L = 12E
L + E = 9646
are the two equations we can get from the given information
plugging in L = 12E into the second equation we can get:
12E + E = 9646 [now solve for E]
13E = 9646 [added like terms]
E = 742 [divided 13 from both sides]
then plug this back into the first equation and get:
L = 12*(742) = 8904
Therefore the Population of Linton is 8904 people.