Answer:
6 baseball games remain in the season.
Step-by-step explanation:
Let the number of baseball games remaining be 'x'.
Given:
Number of innings in 1 baseball game = 9
Number of innings to be played at home = 45
Number of innings to be played away from home = 45
Total number of innings played in the given season = 36
Now, total number of innings to be played in a season is equal to the sum of the innings played at home and away from home.
So, Total number of innings = 45 + 45 = 90 innings.
Now, out of 90 innings, 36 innings are already played.
So, the number of innings that remain is given as:
Innings remaining = Total innings - Innings already over
Innings remaining = 90 - 36 = 54
Now, 9 innings is equivalent to 1 baseball game.
So, 54 innings is equivalent to 'x' baseball games.
Setting up a proportion and solving by cross multiplication, we get:
[tex]\frac{9}{1}=\frac{54}{x}\\\\9x=54\\\\x=\frac{54}{9}=6[/tex]
Therefore, 6 baseball games remain in the season.