The Principle of Inclusion and Exclusion: Problem 1

Problem: In the forest, there are 100 rabbits. A rabbit that doesn't like to eat carrots likes to eat lettuce. The amount of rabbits that like to eat carrots is two times the amount of rabbits that like to eat lettuce. The amount of rabbits that doesn't like to eat lettuce is three times the amount of rabbits that doesn't like to eat carrots. How many rabbits like to eat both carrots and lettuce?

Key: Write equations

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