Question

A basketball player averaged 20 points a game over the course of six games. His

scores in five of those games were 23, 18, 16, 24, and 27. How many points did he score in the sixth game?

Answer 1

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To find :-

The sixth score of the game

Given :-

All five scores = 23, 18, 16, 24, and 27

The average of all six score = 20

Solution :-

We will use the average formula to find the sixth score.

`average = (total \: of \: all \: scores)/(number \: of \: scores)`

And let the sixth score be x.

`20 = (23 + 18 + 16 + 24 + 27 + x)/(6)`

Now we will cross multiply, the 6 which on L.H.S will come to R.H.S and multiply with 20.

`20 * 6 = 23 + 18 + 16 + 24 + 27 + x \\ 120 = 108 + x \\ 120 - 108 = x \\ 12 = x`

Result :-

The sixth score by the baseball player is 12.

Answer 2

Hello There!!

Given,

Average Points= 20

No. of games = 6

Total points= 20×6=120

So, Sum of Score of five games= 23+18+16+24+27= 108

Therefore, Score in 6th game= 120-108= 12

Hope this helps