Assuming each law-abiding family wants to have as many children as possible, and that no babies are aborted or killed, what will happen to the ratio of boys to girls?

Steps to Solve

1. Understanding the Law's Implications
   Each family is allowed to have children until they have a boy, after which they cannot have any more children. Thus, every family will consistently have only one boy and as many girls as they desire until that boy is born.

2. Considering the Birth Scenario
   If families want as many children as possible, and each family continues this pattern, the expected birth outcomes will show that:

   • Each family contributes 1 boy to the population.
   • Each family also contributes an average of multiple girls (if they continue to have children until they have one boy).

3. Establishing Ratios
   Over time, the ratios of boys to girls can be calculated. For instance, if 10 families each have 1 boy and on average 3 girls, the total offspring would be:

   • Boys: 10
   • Girls: 30 Thus, the ratio would be:
   • Boys to Girls: ( \frac{10}{30} = \frac{1}{3} )

4. Analyzing Trends
   As this pattern continues, with each family having one boy and several girls, the total number of girls will continue to outpace the total number of boys. As a result, over time, the ratio of boys to girls will decrease.