After 5 games, a rugby team had an average of 28 points per game. In

Question

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

gmatophobia · Answer

Let's say the team scored 28 points on the 6th game as well, the mean will not change. However we need the mean (average) to increase by n points.

Including the 6th, the team has played 6 games. If the mean needs to be increased by n points, then the team should have 6n extra points in addition to the existing mean i.e. 28.

Hence the team must score 28 + 6n points.

Option E

Momsspaghetti · Answer

For 5 games sum is 5*28 = 140

We need to increase average by n

140 + x / 6 = 28 + n

OA : E

Posted from my mobile device

Or19 · Answer

Avg= sum

Sum = avg*n

n 
 Avg 
 Sum 
 
  5 games 
 28 points 
 28*5=140 
 
  1 game 
   X points   
 1*x = X 
 
  6 games 
 28+n 
 6(28+n)= 168+6n

140+X=168+6n /(-140)
x= 28+6n
  (E)

After 5 games, a rugby team had an average of 28 points per game. In

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

n	Avg	Sum
5 games	28 points	28*5=140
1 game	X points	1*x = X
6 games	28+n	6(28+n)= 168+6n

GMAT Problem Solving (PS) Questions

After 5 games, a rugby team had an average of 28 points per game. In

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards