Question

Milan has scored 20,25 ,29 , and points in his four basketball games so far. How many points does he need to score in his next game so that his average (mean) is 23 points per game?

Answer 1

To find out how many points Milan needs to score in his next game to achieve an average of 23 points per game, we first need to calculate how many total points he should have after five games.

The average is calculated as follows:
\[
\text{Average} = \frac{\text{Total Points}}{\text{Number of Games}}
\]
In this case, we want the average to be 23 points after 5 games, so:

\[
23 = \frac{\text{Total Points}}{5}
\]

Multiplying both sides by 5 gives:
\[
\text{Total Points} = 23 \times 5 = 115
\]

Next, we calculate how many points he has scored in his first four games:
\[
20 + 25 + 29 + 0 = 74
\]

Let \( x \) be the points he scores in his next game. Therefore, we have the equation:
\[
74 + x = 115
\]

Solving for \( x \):
\[
x = 115 - 74 = 41
\]

Thus, Milan needs to score **41 points** in his next game to achieve an average of 23 points per game.