A​ town's population is 47,750 . About 100 people move out of the town each month. Each​ month,175 people on average move into town. A nearby town has a population of 50,500. It has no one moving in and an average of people moving away every month. In about how many months will the populations of the towns be​ equal? Write an equation to model the situation. Then solve the equation and answer the question.

Which equation models the​ situation?