Chicago White Sox First-Place Eliminiation Scenario
Chicago must win 30 more games (36 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Chicago finishes in first place with 36 wins:

Team             W	L	PCT	GB
Chicago          36	126	0.222	0.00
Kansas City      35	127	0.216	1.00
Detroit          35	127	0.216	1.00
Cleveland        35	127	0.216	1.00
Minnesota        34	128	0.210	2.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Cleveland        20	10	132	0.667	0.0
Kansas City      19	13	130	0.594	2.0
Detroit          18	13	131	0.581	2.5
Minnesota        17	13	132	0.567	3.0
Chicago          6	25	131	0.194	14.5

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

Chicago currently has 1 win(s) against Cleveland and 2 loss(es).
Chicago wins 10 additional game(s) against Cleveland and loses 0.
Chicago wins the series 11 games to 2.
Chicago wins 0 additional game(s) against teams outside the division and loses 99.

Chicago currently has 0 win(s) against Detroit and 3 loss(es).
Chicago wins 10 additional game(s) against Detroit and loses 0.
Chicago wins the series 10 games to 3.
Chicago wins 0 additional game(s) against teams outside the division and loses 99.

Chicago currently has 1 win(s) against Kansas City and 6 loss(es).
Chicago wins 6 additional game(s) against Kansas City and loses 0.
Chicago wins the series 7 games to 6.
Chicago wins 0 additional game(s) against teams outside the division and loses 99.

Chicago currently has 0 win(s) against Minnesota and 7 loss(es).
Chicago wins 4 additional game(s) against Minnesota and loses 2.
Chicago loses the series 4 games to 9.
Chicago wins 0 additional game(s) against teams outside the division and loses 99.

Cleveland currently has 0 win(s) against Detroit and 0 loss(es).
Cleveland wins 3 additional game(s) against Detroit and loses 10.
Cleveland loses the series 3 games to 10.
Cleveland wins 0 additional game(s) against teams outside the division and loses 85.

Cleveland currently has 0 win(s) against Kansas City and 0 loss(es).
Cleveland wins 6 additional game(s) against Kansas City and loses 7.
Cleveland loses the series 6 games to 7.
Cleveland wins 0 additional game(s) against teams outside the division and loses 85.

Cleveland currently has 2 win(s) against Minnesota and 0 loss(es).
Cleveland wins 6 additional game(s) against Minnesota and loses 5.
Cleveland wins the series 8 games to 5.
Cleveland wins 0 additional game(s) against teams outside the division and loses 85.

Detroit currently has 2 win(s) against Kansas City and 1 loss(es).
Detroit wins 1 additional game(s) against Kansas City and loses 9.
Detroit loses the series 3 games to 10.
Detroit wins 0 additional game(s) against teams outside the division and loses 92.

Detroit currently has 4 win(s) against Minnesota and 3 loss(es).
Detroit wins 6 additional game(s) against Minnesota and loses 0.
Detroit wins the series 10 games to 3.
Detroit wins 0 additional game(s) against teams outside the division and loses 92.

Kansas City currently has 1 win(s) against Minnesota and 2 loss(es).
Kansas City wins 0 additional game(s) against Minnesota and loses 10.
Kansas City loses the series 1 games to 12.
Kansas City wins 0 additional game(s) against teams outside the division and loses 91.

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