Question

A basketball player averages 21 points per game for the first 8 games of the season. if he is held scoreless in the next two games, how many average points per game must he score in his final 6 games in order to complete the season with an overall average of 21 points per game?

Answer 1

Suppose the average the average points that the player must have in the six remaining games in order to finish with 24 game be x.
The total number of games in a season is :
(8+2+6)=14
total points for the 10 games will be:
a/10=21
a=210
thus the total score for the remaining 6 games should be:
(x+210)/14=21
x=84
This implies that the average score per game should be 84/6=14