Question

FIve players played a scored board game. If the average ( arithmetic mean) of the scores of the five players was 21, and if each person had a positive integer score, what is the greatest score any one player could have obtained?

a) 33
b) 50
c) 75
d) 94
e) 101

( please explain or show work! Thanks)
Arithmetic mean :

( p1 + p2 + p3 + p4 + p5 ) / 5 = 21 Multiply both sides by 5

p1 + p2 + p3 + p4 + p5 = 21 * 5 = 105

p1 + p2 + p3 + p4 + p5 = Total points of team

Total points of team = 105

If 4 other players obtained 1 point

greatest score of one player could be :

105 - 4 = 101

Related Questions

The game Upright is played by two players on an m×n square board and has the following rules: At... Based on the passage, what can the reader infer about the Scrabble board game? A. It can be played... The graph displays the number of points scored, and the number of basketball games played determine... Slope as Unit Rate Practice Math 8 Q4 (Pre-Algebra) / Graphing Linear Equations The graph displays...