Consider the question. 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?
What is the step-by-step reasoning process to arrive at the answer: 4?
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.