Question

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 ?

Answer 1

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.

Answer 2

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

Answer 3

`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.