In the sixth, seventh, eighth and ninth basketball games of the session a player scored 23, 14, 11, 20 points respectively. Hereafter nine games than it was after the first five games. If her average after ten games was points per game average was higher greater than eighteen what is the least number of points that she could have scored in the tenth game?
Answers
Answer:
29
Step-by-step explanation:
In the 6th, 7th, 8th, and 9th basketball games of the season, Playery scored 23, 14, 11, and 20 points, respectively. Her points-per-game average was higher after 9 games than it was after the first 5 games. If her average after 10 games was greater than 18, what is the least number of points she could have scored in the 10th game
Average from 6 to 9 games = (23 + 14 + 11 + 20 )/4
= 68/4 = 17
Her points-per-game average was higher after 9 games than it was after the first 5 games
Average in first 5 games < 17
=> Average in first 5 games < Average in 9 games < 17
Score in 9 Games < 17*9 < 153
Average after 10 Games > 18
=> Score > 180
least number of points that she could have scored in the tenth game
181 - 152 = 29