A football team averaged 35 points per game over the first $n$ games of the season. After scoring 28 points in the

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Thu Nov 19, 2020 7:57 am

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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

Answer: C

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Source: Beat The GMAT — Problem Solving | Thu Nov 19, 2020 7:57 am

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Re: A football team averaged 35 points per game over the first $n$ games of the season. After scoring 28 points in the

by Scott@TargetTestPrep » Mon Nov 30, 2020 9:29 am

VJesus12 wrote: ↑
Thu Nov 19, 2020 7:57 am
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

Answer: C

Solution:

Let n be the number of games the team played before the final game. We can create the equation:

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

34n + 34 = 35n + 28

6 = n

So the team played n + 1 = 7 games.

Answer: C

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: A football team averaged 35 points per game over the first $n$ games of the season. After scoring 28 points in the

by swerve » Tue Dec 01, 2020 11:28 am

VJesus12 wrote: ↑
Thu Nov 19, 2020 7:57 am
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

Answer: C

Source: Veritas Prep

Let the number of football matches before the final match be $n$

Total points $= 35\cdot n$

Total points after final match $= 35\cdot n +28 = 34(n+1) \Rightarrow 35n +28 = 34n+34 \Rightarrow n = 6$

Therefore, the total matches after final match $= n +1 = 6 +1 =7$.

JeffThorsen777: Junior | Next Rank: 30 Posts; Posts: 26; Joined: Mon Jan 11, 2021 1:01 amFollowed by: 2 members

Re: A football team averaged 35 points per game over the first $n$ games of the season. After scoring 28 points in the

by JeffThorsen777 » Mon Jan 11, 2021 1:15 am

Thanks for sharing!

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