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

Question

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

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

0akshay0 · Accepted Answer

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 Hit Kudos if you liked it 8-)

KrishnakumarKA1 · Answer

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

JeffTargetTestPrep · Answer

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

Abhishek009 · Answer

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)

fskilnik · Answer

? = n + 1

Let´s use  alligation :

https://preview.ibb.co/c1pp3L/30-Oct18-7c.gif

{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.

bumpbot · Answer

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

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