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Over the first x games of his basketball season, Martin

Expert replies
by AAPL » Tue Jun 18, 2019 6:09 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

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
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Source: — Problem Solving |

by GMATGuruNY » Tue Jun 18, 2019 6:41 am
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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by swerve » Wed Jun 19, 2019 9:35 am
In first \(x\) games martin scored \(32x\) scores. In last, 14.

So total average:
\(\frac{32x+14}{x+1} = 30\)
\(32x+14=30x+30\)
\(2x = 16\)
\(x=8\)

So, the total number of games played is \(8 + 1 = 9\).
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by Scott@TargetTestPrep » Fri Jun 21, 2019 6:42 pm
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
We can create the equation:

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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