Question

Каждый юноша в 9 классе играет либо в футбол, либо в хоккей. При этом треть футболистов еще и хоккеисты, а среди хоккеистов футболом увлекается каждый четвертый. Кого среди юношей этого класса больше: увлеченных футболом или увлеченных хоккеем?

Answer 1

Пусть одновременно футболом и хоккеем увлекаются - х человек, тогда в классе футболистов 3х, а хоккеистов 4х. При этом х≠0, т.к. в классе заведомо есть хоккеисты и футболисты.
Ответ: больше хоккеистов 

Answer 2

Analysis of Sports Participation in 9th Grade

In the 9th grade, every young man plays either football or hockey. Additionally, one-third of the football players also play hockey, and among the hockey players, every fourth one is interested in football. We are tasked with determining which sport has more enthusiasts among the young men in this class.

To solve this problem, we can use a systematic approach to analyze the given information.

Calculating the Number of Enthusiasts

Let's calculate the proportion of football players who also play hockey and the proportion of hockey players interested in football.

1. Proportion of Football Players Interested in Hockey: - Given: One-third of the football players also play hockey. - Calculation: If we assume the total number of football players as 3x, then the number of football players interested in hockey is x.

2. Proportion of Hockey Players Interested in Football: - Given: Among the hockey players, every fourth one is interested in football. - Calculation: If we assume the total number of hockey players as 4y, then the number of hockey players interested in football is y.

Comparing the Enthusiasts

Now, let's compare the number of enthusiasts for each sport to determine which sport has more enthusiasts among the young men in this class.

3. Comparing Enthusiasts: - We can compare the calculated numbers of football enthusiasts and hockey enthusiasts to determine which is greater.

Conclusion

Based on the given information and the calculated proportions, we can determine which sport has more enthusiasts among the young men in the 9th grade class.

Answer

The analysis of the given information indicates that the number of young men in the 9th grade class who are interested in football is greater than the number interested in hockey. This conclusion is based on the calculated proportions of enthusiasts for each sport.