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Manager
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averages [#permalink] New post 29 Sep 2003, 08:53
Guys, a simple problem, but..:
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

Each time I plug the numbers I get different results. Can't figure out what the problem is...

If n=2, then 5x28=140; 6x30=180; 180-140=40;
If n= 4, then ..............; 6x32=192; 192-140=52;
None of the answers above. where's the error?
Manager
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 [#permalink] New post 29 Sep 2003, 09:40
Answer is E.

To increase the points by a certain number n, you must score at least as many as the previous average PLUS total number of games times n.

From your example:

If n = 2, your desired average is 30. Thus:
5 * 28 = 140 (so far)
(6 * 30) = 180 (desired)

180 - 140 = 40 (this is the difference between desired and current)

Now, here is the part you missed
40 - 28 = 12
subtract the minimum points you need to keep at the current average, because you're looking for the EXTRA points (or n) in every game to bring up the overall average.

Sanity check... n = 12 / 6 = 2. Works!
Manager
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 [#permalink] New post 29 Sep 2003, 10:06
wonder_gmat:
Thanks a lot. I am clear now. :P
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 [#permalink] New post 29 Sep 2003, 12:22
vaka wrote:
wonder_gmat:
Thanks a lot. I am clear now. :P


1. The sum is 140 for 5 games

2. In the sixth game,let the points scored be x ...we want the average to increase by n points..so it follows that..

(140 + x)/6 = 28+n

140+x = 168+6n

x =28+6n

thanks
  [#permalink] 29 Sep 2003, 12:22
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