The population of Linton is 12 times as great as the population of Ellmore. The combined population of both towns is 9,646 people. What is the population of Linton?

To find the population of Linton, we can use algebra. Let the population of Ellmore be represented as \( x \). Then the population of Linton would be \( 12x \). According to the problem, the combined population of both towns is 9,646 people. Therefore, we can set up the equation: \[ x + 12x = 9,646 \] This simplifies to: \[ 13x = 9,646 \] Now, divide both sides by 13 to find \( x \): \[ x = \frac{9,646}{13} = 743 \] Now that we have the population of Ellmore, we can find Linton's population: \[ Linton = 12x = 12 \times 743 = 8,916 \] So, the population of Linton is 8,916 people.