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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

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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

by VJesus12 » 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
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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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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 \(= n +1 = 6 +1 =7\).
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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 JeffThorsen777 » Mon Jan 11, 2021 1:15 am
Thanks for sharing!
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