Answer: the population of Linton is 8904
Step-by-step explanation:
Let x represent the population of Ellmore.
The population of Linton is 12 times as much as the population of Ellmore. It means that the population of Linton would be
12 × x = 12x
The combined population of both towns is 9,646 people. This would be expressed as
x + 12x = 9646
13x = 9646
Dividing both sides of the equation by 13, it becomes
13x/13 = 9646/13
x = 742
Therefore, the population of Linton is
742 × 12 = 8904