Darla is playing a computer game to her learn about science. her scores for the first six games were 9, 12, 10, 8, 14, and 15. how many points does she need to earn on the next game so that her average score for all games is 12 points?

The number of points she earned in the next game is:

                           16

The scores of the six games is given by:

            9, 12, 10, 8, 14, and 15.

Now, let the score in the next game be: x

We know that the average of the scores is the sum of all the score to the total number of scores.

Here the sum of all the scores is:

9+12+10+8+14+15+x=68+x

Also, number of scores= 7

Hence, we have:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2