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PrintJunior Mathematical Olympiad
Netherlands algebra
Problem
Liselotte has a collection of 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)?
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
Final answer
20
Techniques
FractionsSimple Equations