A basketball player averaged 20 points per game over six games. If five of the games were 23, 18, 16, 24, and 27 points, how many points did he score in the sixth game?

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Multiple Choice

A basketball player averaged 20 points per game over six games. If five of the games were 23, 18, 16, 24, and 27 points, how many points did he score in the sixth game?

Explanation:
The problem tests how to use the relationship between average, total, and number of items. If someone averages 20 points over six games, the total points across all six games must be 20 × 6 = 120. Add up the scores from the five known games: 23 + 18 + 16 + 24 + 27 = 108. The remaining sixth game must bring the total to 120, so its score is 120 − 108 = 12. Thus, the player scored 12 points in the sixth game. The other options would not yield the required total of 120 points, so they wouldn’t produce an average of 20.

The problem tests how to use the relationship between average, total, and number of items. If someone averages 20 points over six games, the total points across all six games must be 20 × 6 = 120.

Add up the scores from the five known games: 23 + 18 + 16 + 24 + 27 = 108. The remaining sixth game must bring the total to 120, so its score is 120 − 108 = 12.

Thus, the player scored 12 points in the sixth game. The other options would not yield the required total of 120 points, so they wouldn’t produce an average of 20.

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