Tiffany plays first board on her middle school's chess team. She had a good record last semester, winning 60% of her 50 tournament games.
After diligent study and lots of practice during the summer vacation, she has recently been on a hot streak this semester, winning 3 out of every 4 games she has played. At the end of this winning streak, she had won two-thirds of all her games so far.
How many total games has she played in both semesters?
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