A marvelous machine

Algebra Level 4

Initially, Calvin has 75 red marbles and 85 blue marbles. There is a marvelous machine and Calvin could use it to make candy.

  • If he put into it 2 red marbles, it will produce a candy and a blue marble.

  • If he put into it 3 blue marbles, it will produce a candy and a red marble.

He use this machine to make candy until he can't produce any more. How many candies does he have?


The answer is 109.

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