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
A football team averaged 35 points per game over the first \(n\) games of the season. After scoring 28 points in the
This topic has expert replies
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7247
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
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
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
Let the number of football matches before the final match be \(n\)VJesus12 wrote: ↑Thu Nov 19, 2020 7:57 amA 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
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: 27
- Joined: Mon Jan 11, 2021 1:01 am
- Followed by:2 members