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

[VJesus12]

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

[Scott@TargetTestPrep]

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

[swerve]

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]

Thanks for sharing!