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A football team averaged 35 points per game over the first n games of

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A football team averaged 35 points per game over the first n games of  [#permalink]

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New post 09 Mar 2017, 02:15
1
5
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (01:19) correct 40% (01:23) wrong based on 177 sessions

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A football team averaged 35 points per game over the first n games of  [#permalink]

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New post Updated on: 09 Mar 2017, 04:34
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Bunuel wrote:
A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play?

A. 5
B. 6
C. 7
D. 9
E. 12


35*n ---- sum of the points of the first n games
n+1 ---- total number of games

34 = (35*n + 28)/(n+1)
34n + 34 = 35n + 28
n = 34 - 28 = 6
n+1 =7

Hence option C is correct
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Originally posted by 0akshay0 on 09 Mar 2017, 02:18.
Last edited by 0akshay0 on 09 Mar 2017, 04:34, edited 1 time in total.
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Re: A football team averaged 35 points per game over the first n games of  [#permalink]

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New post 09 Mar 2017, 04:03
let the number of football matches before final match be n
total points = 35*n
total points after final match = 35*n +28 = 34*(n+1)
or 35n +28 = 34n+34 or n = 6
therefore total matches after final match = n +1 = 6 +1 =7.

option C
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Re: A football team averaged 35 points per game over the first n games of  [#permalink]

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New post 15 Mar 2017, 16:20
Bunuel wrote:
A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play?

A. 5
B. 6
C. 7
D. 9
E. 12


We are given that a football team averaged 35 points per game over the first n games of the season, or 35n total points. We are also given that after scoring 28 points in the final game, the average was 34 points per game. Note that the total number of games played is n + 1. Thus:

(35n + 28)/(n + 1) = 34

35n + 28 = 34n + 34

n = 6

Since the team played a total of n + 1 games, the answer is 6 + 1 = 7.

Answer: C
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Re: A football team averaged 35 points per game over the first n games of  [#permalink]

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New post 21 Aug 2018, 12:03
Bunuel wrote:
A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play?

A. 5
B. 6
C. 7
D. 9
E. 12


\(35*n + 28 = 34 (n +1)\)

Or, \(35n + 28 = 34n + 34\)

So, \(n = 6\)

Thus, total no of games played in the tournament is 6 +1 = 7, Answer must be (C)
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Re: A football team averaged 35 points per game over the first n games of  [#permalink]

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New post 30 Oct 2018, 19:38
Bunuel wrote:
A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play?

A. 5
B. 6
C. 7
D. 9
E. 12

\(? = n + 1\)

Let´s use alligation:

Image


\({1 \over {n + 1}} = {{35 - 34} \over {35 - 28}} = {1 \over 7}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,? = n + 1 = 7\)


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

Regards,
Fabio.
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Re: A football team averaged 35 points per game over the first n games of   [#permalink] 30 Oct 2018, 19:38
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