Chicago White Sox First-Place Elimination Scenario
Chicago must win 23 more games (41 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Chicago finishes in first place with 41 wins:

Team             W	L	PCT	GB
Chicago          41	121	0.253	0.00
Cleveland        40	122	0.247	1.00
Kansas City      40	122	0.247	1.00
Detroit          39	123	0.241	2.00
Minnesota        39	123	0.241	2.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Cleveland        21	20	121	0.512	0.0
Kansas City      19	21	122	0.475	1.5
Chicago          18	21	123	0.462	2.0
Detroit          18	22	122	0.450	2.5
Minnesota        17	23	122	0.425	3.5

Next, we show how the remaining series of games plays out in the scenario:

Chicago currently has 0 win(s) against Cleveland and 0 loss(es).
Chicago wins 4 additional game(s) against Cleveland and loses 9.
Chicago loses the series 4 games to 9.
Chicago wins 1 additional game(s) against teams outside the division and loses 74.

Chicago currently has 0 win(s) against Detroit and 0 loss(es).
Chicago wins 13 additional game(s) against Detroit and loses 0.
Chicago wins the series 13 games to 0.
Chicago wins 1 additional game(s) against teams outside the division and loses 74.

Chicago currently has 2 win(s) against Kansas City and 2 loss(es).
Chicago wins 5 additional game(s) against Kansas City and loses 4.
Chicago wins the series 7 games to 6.
Chicago wins 1 additional game(s) against teams outside the division and loses 74.

Chicago currently has 0 win(s) against Minnesota and 0 loss(es).
Chicago wins 0 additional game(s) against Minnesota and loses 13.
Chicago loses the series 0 games to 13.
Chicago wins 1 additional game(s) against teams outside the division and loses 74.

Cleveland currently has 0 win(s) against Detroit and 0 loss(es).
Cleveland wins 1 additional game(s) against Detroit and loses 12.
Cleveland loses the series 1 games to 12.
Cleveland wins 0 additional game(s) against teams outside the division and loses 78.

Cleveland currently has 4 win(s) against Kansas City and 3 loss(es).
Cleveland wins 3 additional game(s) against Kansas City and loses 3.
Cleveland wins the series 7 games to 6.
Cleveland wins 0 additional game(s) against teams outside the division and loses 78.

Cleveland currently has 1 win(s) against Minnesota and 1 loss(es).
Cleveland wins 6 additional game(s) against Minnesota and loses 5.
Cleveland wins the series 7 games to 6.
Cleveland wins 0 additional game(s) against teams outside the division and loses 78.

Detroit currently has 3 win(s) against Kansas City and 2 loss(es).
Detroit wins 0 additional game(s) against Kansas City and loses 8.
Detroit loses the series 3 games to 10.
Detroit wins 0 additional game(s) against teams outside the division and loses 79.

Detroit currently has 0 win(s) against Minnesota and 4 loss(es).
Detroit wins 9 additional game(s) against Minnesota and loses 0.
Detroit wins the series 9 games to 4.
Detroit wins 0 additional game(s) against teams outside the division and loses 79.

Kansas City currently has 2 win(s) against Minnesota and 1 loss(es).
Kansas City wins 6 additional game(s) against Minnesota and loses 4.
Kansas City wins the series 8 games to 5.
Kansas City wins 0 additional game(s) against teams outside the division and loses 89.

# Chicago White Sox' magic number
# Chicago's magic number
# White Sox' magic number
# MLB Playoff Race