The population of linton is 12 times as great as the population of ellmore the combined population of both towers is 9,646 people what is the population of linton

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.