Question
Milan has scored 20,25 , 29 , and 19 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?
Answers
GPT-4o mini
To find out how many points Milan needs to score in his next game to achieve an average of 23 points per game, we can set up the problem as follows:
1. First, calculate the total points Milan has scored in his four games:
\[
20 + 25 + 29 + 19 = 93 \text{ points}
\]
2. Let \( x \) be the number of points Milan needs to score in his next game. After this game, he will have played a total of 5 games, so the total points scored will be \( 93 + x \).
3. The average score after 5 games is given by the formula:
\[
\text{Average} = \frac{\text{Total Points}}{\text{Number of Games}} = \frac{93 + x}{5}
\]
4. We want this average to equal 23 points:
\[
\frac{93 + x}{5} = 23
\]
5. To eliminate the fraction, multiply both sides of the equation by 5:
\[
93 + x = 115
\]
6. Now, solve for \( x \):
\[
x = 115 - 93 = 22
\]
Thus, Milan needs to score **22 points** in his next game to achieve an average of 23 points per game.
1. First, calculate the total points Milan has scored in his four games:
\[
20 + 25 + 29 + 19 = 93 \text{ points}
\]
2. Let \( x \) be the number of points Milan needs to score in his next game. After this game, he will have played a total of 5 games, so the total points scored will be \( 93 + x \).
3. The average score after 5 games is given by the formula:
\[
\text{Average} = \frac{\text{Total Points}}{\text{Number of Games}} = \frac{93 + x}{5}
\]
4. We want this average to equal 23 points:
\[
\frac{93 + x}{5} = 23
\]
5. To eliminate the fraction, multiply both sides of the equation by 5:
\[
93 + x = 115
\]
6. Now, solve for \( x \):
\[
x = 115 - 93 = 22
\]
Thus, Milan needs to score **22 points** in his next game to achieve an average of 23 points per game.