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If a softball team scores an average (arithmetic mean) of a runs per game for b games and then scores c runs on its next game, what is the team's average score for the b + 1 games?
. If the
average score for b games is a,
then the total number of runs scored is ab.
If c additional runs are then scored, the total
number of runs is ab + c,
and the total number of games is b + 1. So
the average score for all games is 
.