Question:
before last nights game a basketball player has scored an average ( arithmetic mean) of 20 points per game . she scored 25 points in last nights game raising her average go 21 points per game. how many games did she play before last night's game
Answer:
She played 4 games before last night's game
Step-by-step explanation:
Given:
Average of last night basketball games = 20
Points scored in last night game = 25
Rise in average after last night game = 21
To Find:
The number of games played last night = ?
Solution:
Let the number of games played before last night's game be x
Then
The average of x games =20
That is
[tex]\frac{\text{ Total points scored in x games}}{x}= 20[/tex]
Total points scored in x games = 20x
In last night game she scored 25 points
So now the total score will be = 20x+25 and
the number of games will be x+1
Now the
The average of x+1 games = 21
[tex]\frac{20x+25}{x+1}[/tex] =21
[tex]20x+25 =21 \times (x+1) [/tex]
[tex]20x+25 =21x+ 21[/tex]
[tex]25-21 =21x-20x[/tex]
x=4