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50 lightest frogs represented 30 % of total mass of all the frogs in the pond

Source: 1st National Women's Contest of Mexican Mathematics Olympiad 2022 , level 1 p5

September 17, 2022
algebra

Problem Statement

A biologist found a pond with frogs. When classifying them by their mass, he noticed the following:
The 5050 lightest frogs represented 30%30\% of the total mass of all the frogs in the pond, while the 4444 heaviest frogs represented 27%27\% of the total mass.
As fate would have it, the frogs escaped and the biologist only has the above information. How many frogs were in the pond?
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