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Algebra Difficulty 3.0 AMC 10/12 Prove it Netherlands

Liselotte has a collection of 100100 candies, which are either sweet or bitter.
She wants to choose between the following possibilities.

I) She eats half of the sweet candies. The rest is kept in the bag.

II) She eats half of the bitter candies. The rest is kept in the bag.
The part of the remaining candies in case I that are bitter is three times as large as the part of remaining candies in case II that are bitter.
How many bitter candies does the bag contain (before Liselotte eats any of them)?

Solution

2020

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