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 ?

3 Answers
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:

(22+22+22+x)/4=24

(66+x)/4=24

66+x=96

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 * 4 = 8 points in the fourth game, making a total of 22+8 = 30 points.