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Going in to the last game of his basketball season, Adrian had average
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07 Jul 2018, 09:51

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A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

61% (00:57) correct 39% (01:22) wrong based on 80 sessions

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Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

Going in to the last game of his basketball season, Adrian had average
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07 Jul 2018, 10:35

Bunuel wrote:

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12 B. 13 C. 14 D. 15 E. 16

Sum of games played before last game = S Number of games played before final game= n S/n = 24 or S=24n

After going to his last game we have (S+50)/(n+1)=26 Substituting S=24n we get 24n+50=26n+26 2n=24 n=12 Since we denoted "n" as the number of games before final game his total number of games played for the whole season would be - n+1=12+1=13. Answer B.

WE: Supply Chain Management (Energy and Utilities)

Re: Going in to the last game of his basketball season, Adrian had average
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07 Jul 2018, 10:50

Bunuel wrote:

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12 B. 13 C. 14 D. 15 E. 16

Let the no of games played by Adrian be x before the last game.

Given Adrian had averaged 24 points per game. So, the total points earned=24x New average=26 when he played the last game Total points scored=24x+50 So, \(\frac{24x+50}{x+1}=26\) Or, 24x+50=26x+26 Or, 2x=24 Or, x=12 Total no of games played= no of games played by Adrian be x [u]before the last game+1=x+1=12+1=13 Ans. (B)
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Re: Going in to the last game of his basketball season, Adrian had average
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07 Jul 2018, 10:57

1

Bunuel wrote:

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12 B. 13 C. 14 D. 15 E. 16

Let there be x matches

three ways

1) logical.... Increase in avg of 2 for x games means 2x points 50 points are 24 points more than the new average.. so 2x=24.....x=12 and the 13th is the one in which 50 points were scored ans 13

2) Algebraic

24 avg for x games .. total points = 24x new total = 24x+50 new number of games = x+1 avg = \(\frac{24x+50}{x+1}=26................24x+50=26x+26..................2x=24........x=12\) so games = 12+1=13

3) weighted average method

x games worth 24 and 1 game worth 50 average 26 so \(\frac{x}{1}=\frac{(50-26)}{(26-24)}\frac{24}{2}=12\) so x+1=12+1=13

Re: Going in to the last game of his basketball season, Adrian had average
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07 Jul 2018, 11:08

Bunuel wrote:

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12 B. 13 C. 14 D. 15 E. 16

\(24G + 50 = (G +1)26\)

Or, \(24G + 50 = 26G + 26\)

Or, \(2G = 24\)

Or, \(G = 12\)

So, Total Number of games played that season is 12 + 1 = 13 games,Answer must be (B) _________________

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Abhishek....

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Re: Going in to the last game of his basketball season, Adrian had average
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17 Sep 2018, 09:40

Bunuel wrote:

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12 B. 13 C. 14 D. 15 E. 16

The homogeneity nature of the average makes this problem trivial:

This solution follows the notations and rationale taught in the GMATH method.

Regards, Fabio.
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Re: Going in to the last game of his basketball season, Adrian had average
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17 Sep 2018, 10:59

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Bunuel wrote:

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12 B. 13 C. 14 D. 15 E. 16

Let G = total number of games that Adrian played in the ENTIRE season

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. At this point, Adrian has played G-1 games So, we can write: (total number of points in G-1 games)/(G-1) = 24 Multiply both sides of the equation by (G-1) to get: total number of points in G-1 games = 24(G-1) Expand to get: total number of points in G-1 games = 24G - 24

In his last game, he scored 50 points... We already know that total number of points in G-1 games = 24G - 24 So, TOTAL number of points for all G games = 24G - 24 + 50 Simplify to get: TOTAL number of points for all G games = 24G + 26

...bringing his average to 26 points per game for the season. We can write: (total number of points in all G games)/G = 26 So, (24G + 26)/G = 26 Multiply both sides by G to get: 24G + 26 = 26G Subtract 24G from both sides: 26 = 2G Solve: G = 13

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18 Sep 2018, 18:52

Bunuel wrote:

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12 B. 13 C. 14 D. 15 E. 16

We can let x = the number of games played in the season; thus, we have:

(24(x - 1) + 50)/x = 26

24x - 24 + 50 = 26x

26 = 2x

13 = x

Answer: B
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