4. In the Parliament of the Emerald City, 5 parties are represented, which together developed 100 laws over the year (each law was developed by exactly one of the parties). It is known that any three parties together developed no fewer than 50 laws. What is the maximum number of laws that the Green Lenses party could have developed?
Solution:

Answer: 33.

Evaluation. Let this quantity be $x$. Since any three parties together have developed no less than 50, any party together with the Green Lenses party has developed no more than 50. Therefore, each of the four other parties has developed no more than $50-x$, and all of them together have developed no more than $200-4x$. Thus, the total number of laws is no more than $200-3x$. Since the total number of laws is 100, we have $3x \leqslant 100$, from which $x \leqslant 33$.

Example. $33,17,17,17,16$.