Perry, Dana, Charlie, and Phil played golf together every week. At the end of the season, Perry had won five more games than Dana, but Charlie had won 2 games fewer than Dana. Phil had won 3 games more than Charlie did. If Phil won a total of 12 games, how many more games did Perry win than did Phil? Let's think first. Chain of thought:
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If Phil had won 3 games more than did Charlie, and Phil won 12 games, then Charlie won 12 - 3 = 9 games. If Charlie had won 2 games fewer than Dana, and Charlie won 9 games, then Dana won 9 + 2 = 11 games. If Perry had won five more games than did Dana, and Dana won 11 games, then Perry won 11 + 5 = 16 games. Thus, Perry won 16 - 12 = 4 more games than did Phil.
Therefore, the answer is 4.
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