AAPL wrote:Veritas Prep
Over the first x games of his basketball season, Martin averaged 32 points per game. In his last game, he scored 14 points and his average dropped to 30 points per game for the x+1 game season. How many games were played that season?
A. 8
B. 9
C. 10
D. 11
E. 12
Since the seasonal average = 30 points per game, the total number of points must be a MULTIPLE OF 30.
Over the first x games of his basketball season, Martin averaged 32 points per game.
In his last game, he scored 14 points.
Implication:
32x + 14 = MULTIPLE OF 30
32x = (MULTIPLE OF 30) - 14
32x = INTEGER WITH A UNITS DIGIT OF 6
The answer choices represent the value of x+1, implying the following options for x:
A. 7
B. 8
C. 9
D. 10
E. 11
Since 32x must yield a units digit of 6, only B is viable,
The correct answer is
B.
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