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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
OA B
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Over the first x games of his basketball season, Martin
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Since the seasonal average = 30 points per game, the total number of points must be a MULTIPLE OF 30.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
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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Scott@TargetTestPrep
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We can create the equation: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
OA B
30 = (32x + 14)/(x + 1)
30x + 30 = 32x + 14
16 = 2x
8 = x
Since he actually played x + 1 games during the season, he played 9 games during the season.
Answer: B
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