Rugby

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nlpfollower: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Tue Dec 29, 2009 11:03 pm

Rugby

by nlpfollower » Mon Mar 15, 2010 1:20 am

After 5 games, a rugby team had an average of 28 points per game. In order to increase the average by n points, how many points must be scored in a 6th game?
(A) n
(B) 6n
(C) 28n
(D) 28 + n
(E) 28 + 6n

I find B to be the right answer, but apparently the answer is shown as E. Please advice how this answer is arrived at.

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Source: Beat The GMAT — Problem Solving | Mon Mar 15, 2010 1:20 am

papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pm; Thanked: 653 times; Followed by:252 members

by papgust » Mon Mar 15, 2010 1:38 am

Average of 5 games is 28. so, sum is 28*5

Let 'x' be the 6th game score.

(28*5 + x)/6 = 28 + n

28*5 + x = 28*6 + 6n

x = 28 + 6n

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rockeyb: Legendary Member; Posts: 537; Joined: Sun Jul 19, 2009 7:15 am; Location: Nagpur , India; Thanked: 41 times; Followed by:1 members

by rockeyb » Mon Mar 15, 2010 3:08 am

Let x be the points needed in the 6 th game .

Total points scored in 5 games = 28 x 5

So average of 6 games = [(28x5) + x ]/ 6

this average needs to be increased by n points = 28 (old average + n )

[(28x5) + x ]/ 6 = 28 + n

(28x5) + x = 6 (28 + n )

x = 28 (6-5) + 6n

x = 28 + 6n.

That is E.

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