Question

the baseball team won 3/4 of his first 20 games. How many games must a team win in it's next 12 games to keep the average the same?

Answer 1

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)

`\begin{gathered} (3)/(4)=(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}`

The team must win 9 games in its next 12 games to keep the average the same.