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2024 AMC 8 Question 21

AMC8 · 2024 AMC 8

Question 21

A group of frogs (called an *army*) is living in a tree. A frog turns green when in the shade and turns yellow when in the sun. Initially, the ratio of green to yellow frogs was $3 : 1.$ Then $3$ green frogs moved to the sunny side and $5$ yellow frogs moved to the shady side. Now the ratio is $4 : 1.$ What is the difference between the number of green frogs and yellow frogs now?
  1. $10$
  2. $12$
  3. $16$
  4. $20$
  5. $24$