# Jessica scored 22 points in each of the first three games. What does she need to score in the fourth game to raise her average to 24 points ?

Oct 14, 2017

She has to score $30$ points. See explanation.

#### Explanation:

Here we have 4 numbers (scores):

$22 , 22 , 22$ and an unknown score $x$.

We have to find the value of $x$ for which the mean of $4$ scores is $24$. To do it we have to solve equation:

## $x = 30$

Answer: Jessica has to score $30$ points in her next game.

Oct 14, 2017

30

#### Explanation:

Let she has to score x in her next game.

So, she scores in 4 games = 22+22+22+x = 66 +x points.

Again, average of 4 games is equals to 24 points.
So, total points = 24 x 4 = 96 points.

Now as per question, 66 + x = 96
or, x = 96 - 66 = 30

Oct 14, 2017

$30$

#### Explanation:

Another way...

Notice that Jessica wants to increase the mean of her scores by $2$ points across $3 + 1 = 4$ games.

So she needs to score an additional $2 \cdot 4 = 8$ points in the fourth game, making a total of $22 + 8 = 30$ points.