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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?
(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?
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 timesn.
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.