To find the number of days it will take 19 sewers to finish the same number of dresses, we can use the concept of inverse proportionality between the number of sewers and the number of days.Let's break it down:5 sewers take 8 days to finish 200 dresses.To find the total work hours, multiply the number of sewers by the number of days:5 sewers * 8 days = 40 sewer-daysNow, divide the total work hours by the new number of sewers (19) to find the new number of days:40 sewer-days / 19 sewers ≈ 2.11 daysSo, approximately 2.11 days (or just over 2 days) will it take 19 sewers to finish the same number of children's dresses.