Question

Diane has scored 34,26, and 28 points in her three basketball games so far. How many points does she need to score in her next game so that her average (mean) is 28

points per game?

Answer 1

To find out how many points Diane needs to score in her next game to achieve an average of 28 points per game, we first need to calculate the total number of points she needs after four 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 28 points after 4 games:

\[
28 = \frac{\text{Total Points}}{4}
\]

Multiplying both sides by 4 gives:

\[
\text{Total Points} = 28 \times 4 = 112
\]

Next, we need to find out how many points Diane has already scored in her first three games:

\[
34 + 26 + 28 = 88
\]

Now, let \( x \) be the number of points she needs to score in her next game. We can set up the equation:

\[
88 + x = 112
\]

Now, solving for \( x \):

\[
x = 112 - 88 = 24
\]

Therefore, Diane needs to score **24 points** in her next game to have an average of 28 points per game.