A seventh grade and eighth grade student problem

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SUMMARY

In a tournament involving seventh and eighth-grade students, there were 2 seventh graders and 20 eighth graders. The eighth graders, despite their larger number, only won 4.5 times as many points as the seventh graders. The seventh graders achieved 4 wins, while the eighth graders secured 18 wins each. This scenario illustrates the impact of participant numbers on competitive outcomes.

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K Sengupta
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Seventh- and eighth-grade students participated in a tournament. Each contestant played each other contestant once. There were ten times as many eighth-grade students, but they were able to win only four-and-a-half times as many points as seventh graders.

How many seventh-grade students participated, and how many points did they collect?

Note: Assume one point for every win, and no drawn outcomes.
 
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Spoiler:There were 2 seventh graders who had 4 wins and 20 eighth graders who had 18 wins.
 

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