Answer:
9 games
Explanations:
The number of games first played by the team = 12
The average games won = 3/4
The average games won = (Number of games won)/(Number of games played)
3/4 = (Number of games won) / 20
Number of games won = 20 x 3/4
Number of games won = 15
If the team plays 12 more games:
The total number of games played = 20 + 12 = 32
Let the number of games won in the next 12 games be x
Total number of games won = 15 + x
Since the average is said to remain the same, the average games won = 3/4
Average games won = ( Total number of games won) / (Total number of games played)
[tex]\begin{gathered} \frac{3}{4}=\frac{15+x}{32} \\ 32(3)\text{ = 4 (15 + x)} \\ 96\text{ = 60 + 4x} \\ 96\text{ - 60 = 4x} \\ 4x\text{ = 36} \\ x\text{ = 36/4} \\ x\text{ = 9} \end{gathered}[/tex]
The team must win 9 games in its next 12 games to keep the average the same.
