Scientists notice that a different species of insect, Insect Y, also appeared at the same time as Insect X. By the end of 2016 there were an estimated 800 of Insect Y in the country. Scientists noticed they were growing continuously at a monthly rate of 22%. Assuming that the initial growth rate of 15% for Insect X was accurate, after how many months will the population of Insect X and Insect Y be equal? Show your work.