Chicago White Sox First-Place Eliminiation Scenario
Chicago must win 27 more games (27 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Chicago finishes in first place with 27 wins:

Team             W	L	PCT	GB
Chicago          27	135	0.167	0.00
Cleveland        27	135	0.167	0.00
Detroit          27	135	0.167	0.00
Minnesota        27	135	0.167	0.00
Kansas City      26	136	0.160	1.00

Tie breakers
Chicago wins the series with Cleveland 11 games to 2
Chicago wins the series with Detroit 9 games to 4
Chicago wins the series with Minnesota 7 games to 6

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Chicago          0	0	162	0.000	0.0
Cleveland        0	0	162	0.000	0.0
Detroit          0	0	162	0.000	0.0
Kansas City      0	0	162	0.000	0.0
Minnesota        0	0	162	0.000	0.0

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 11 additional game(s) against Cleveland and loses 2.
Chicago wins the series 11 games to 2.
Chicago wins 0 additional game(s) against teams outside the division and loses 110.

Chicago currently has 0 win(s) against Detroit and 0 loss(es).
Chicago wins 9 additional game(s) against Detroit and loses 4.
Chicago wins the series 9 games to 4.
Chicago wins 0 additional game(s) against teams outside the division and loses 110.

Chicago currently has 0 win(s) against Kansas City and 0 loss(es).
Chicago wins 0 additional game(s) against Kansas City and loses 13.
Chicago loses the series 0 games to 13.
Chicago wins 0 additional game(s) against teams outside the division and loses 110.

Chicago currently has 0 win(s) against Minnesota and 0 loss(es).
Chicago wins 7 additional game(s) against Minnesota and loses 6.
Chicago wins the series 7 games to 6.
Chicago wins 0 additional game(s) against teams outside the division and loses 110.

Cleveland currently has 0 win(s) against Detroit and 0 loss(es).
Cleveland wins 13 additional game(s) against Detroit and loses 0.
Cleveland wins the series 13 games to 0.
Cleveland wins 0 additional game(s) against teams outside the division and loses 110.

Cleveland currently has 0 win(s) against Kansas City and 0 loss(es).
Cleveland wins 12 additional game(s) against Kansas City and loses 1.
Cleveland wins the series 12 games to 1.
Cleveland wins 0 additional game(s) against teams outside the division and loses 110.

Cleveland currently has 0 win(s) against Minnesota and 0 loss(es).
Cleveland wins 0 additional game(s) against Minnesota and loses 13.
Cleveland loses the series 0 games to 13.
Cleveland wins 0 additional game(s) against teams outside the division and loses 110.

Detroit currently has 0 win(s) against Kansas City and 0 loss(es).
Detroit wins 10 additional game(s) against Kansas City and loses 3.
Detroit wins the series 10 games to 3.
Detroit wins 0 additional game(s) against teams outside the division and loses 110.

Detroit currently has 0 win(s) against Minnesota and 0 loss(es).
Detroit wins 13 additional game(s) against Minnesota and loses 0.
Detroit wins the series 13 games to 0.
Detroit wins 0 additional game(s) against teams outside the division and loses 110.

Kansas City currently has 0 win(s) against Minnesota and 0 loss(es).
Kansas City wins 9 additional game(s) against Minnesota and loses 4.
Kansas City wins the series 9 games to 4.
Kansas City wins 0 additional game(s) against teams outside the division and loses 110.

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