Problem:
In the sixth, seventh, eighth, and ninth basketball games of the season, a player scored , and points, respectively. Her points-per-game average was higher after nine games than it was after the first five games. If her average after ten games was greater than , what is the least number of points she could have scored in the tenth game?
Answer Choices:
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E.
Solution:
The average for games six through mine was , which exceeded her average for the first five games. Therefore, she scored at most points in the first five games. Because her average after ten games was more than , she scored at least points in the ten games, implying that she scored at least points in the tenth game.