GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Nov 2018, 12:50

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Key Strategies to Master GMAT SC

November 24, 2018

November 24, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# The average (arithmetic mean) weight of the six men in a van is 257 lb

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50730
The average (arithmetic mean) weight of the six men in a van is 257 lb  [#permalink]

### Show Tags

20 Dec 2017, 05:13
00:00

Difficulty:

25% (medium)

Question Stats:

82% (02:26) correct 18% (01:31) wrong based on 23 sessions

### HideShow timer Statistics

The average (arithmetic mean) weight of the six men in a van is 257 lbs. If 3 men with an average weight of 263 lbs, board the van, what will be the average weight of the men in the van?

A. 263
B. 262
C. 261
D. 260
E. 259

_________________
Senior SC Moderator
Joined: 22 May 2016
Posts: 2117
The average (arithmetic mean) weight of the six men in a van is 257 lb  [#permalink]

### Show Tags

21 Dec 2017, 08:55
Bunuel wrote:
The average (arithmetic mean) weight of the six men in a van is 257 lbs. If 3 men with an average weight of 263 lbs, board the van, what will be the average weight of the men in the van?

A. 263
B. 262
C. 261
D. 260
E. 259

Short way

Take just the total extra weight added by the three new men. Divide by 9 to get the change in the average.

Old average: 257 (per man)
Average of three new: 263 (per man)

Difference added by 1 new man:(263-257)= 6
Difference added by 3 new men: (3*6)= 18

Now there are 9 men; 18 pounds extra must be distributed among them
$$\frac{18}{9} = 2$$ pounds per man above the original average of 257.
New average is (257 + 2) = 259

Answer E

The longer way, A * n = S

First group: (6 * 257) = 1,542
Second group: (3 * 263) = 789

Sum the sums, then divide by the new $$n$$
$$(1,542 + 789) = 2,331$$

$$\frac{2,331}{9} = 259$$

Answer E
The average (arithmetic mean) weight of the six men in a van is 257 lb &nbs [#permalink] 21 Dec 2017, 08:55
Display posts from previous: Sort by

# The average (arithmetic mean) weight of the six men in a van is 257 lb

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.