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Over the first x games of his basketball season, Martin averaged 32

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Over the first x games of his basketball season, Martin averaged 32 [#permalink]

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New post 13 Feb 2017, 02:13
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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
[Reveal] Spoiler: OA

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Over the first x games of his basketball season, Martin averaged 32 [#permalink]

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New post 13 Feb 2017, 04:47
in first x games martin scored 32x scores. in last 14. so total average:
(32x+14)/(x+1) = 30
32x+14=30x+30
2x = 16
x=8
so in total number of games was 8 + 1 = 9

answer B
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Re: Over the first x games of his basketball season, Martin averaged 32 [#permalink]

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New post 13 Feb 2017, 08:35
Bunuel wrote:
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


\(32x + 14 = 30 (x + 1 )\)

Or, \(32x + 14 = 30x + 30\)

Or, \(2x = 16\)

So, \(x = 8\)

Hence, total Number of games played is 8 + 1 = 9

Answer will be (B) 9

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Re: Over the first x games of his basketball season, Martin averaged 32 [#permalink]

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New post 14 Feb 2017, 15:52
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Bunuel wrote:
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


We are given that over the first x games of his basketball season, Martin averaged 32 points per game; thus, he scored a total of 32x points.

We are also given that he scored 14 points in his last game, dropping his average to 30 points per game for the x + 1 games.

Recall that average = sum/quantity; thus, we can create the following equation to solve for x:

30 = (32x + 14)/(x + 1)

30(x + 1) = 32x + 14

30x + 30 = 32x + 14

16 = 2x

x = 8

Since Martin played x + 1 games in the season, he played a total of 8 + 1 = 9 games.

Answer: B
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Re: Over the first x games of his basketball season, Martin averaged 32   [#permalink] 14 Feb 2017, 15:52
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