Question

tony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the all-tournament team. so far, in all of the tournaments he's been to, all of the players who made the all-tournament team scored an average between 27 and 32 points in the tournaments. Determine the range of points tony should score in his next game to make the all-tournaments team.

Answer 1

Tony's current scores are 22  and 25.
Let x = Tony's next score.

To make the lower required score of 27,
(x + 22 + 25)/3 = 27
x  = 81 - 47 = 34

To make the upper required score of 32,
(x + 22 + 25)/3 = 32
x = 96 - 47 = 49

Answer:
Tony should score between 34 and 49

Answer 2

Tony needs to score between 34 and 49 points in the next game to make the all star tournament. To figure out the range, you need to make two equations and solve for x: (22+25+x)/3=27 and (22+25+x)/3=32