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

 It is currently 14 Nov 2018, 14:20

### 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

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
• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT Strategy Webinar November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. # Seven friends went to an art festival and each spent a different sum  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 50585 Seven friends went to an art festival and each spent a different sum [#permalink] ### Show Tags 30 Aug 2018, 20:53 00:00 Difficulty: 15% (low) Question Stats: 88% (01:17) correct 12% (02:03) wrong based on 43 sessions ### HideShow timer Statistics Seven friends went to an art festival and each spent a different sum of money. If the friends' totals were$127, $135,$129, $138,$126, $142, and$134, what was the average sum of money that a friend spent?

A. $128 B.$133
C. $138 D.$141
E. $145 _________________ Director Status: Learning stage Joined: 01 Oct 2017 Posts: 930 WE: Supply Chain Management (Energy and Utilities) Re: Seven friends went to an art festival and each spent a different sum [#permalink] ### Show Tags 30 Aug 2018, 22:15 Bunuel wrote: Seven friends went to an art festival and each spent a different sum of money. If the friends' totals were$127, $135,$129, $138,$126, $142, and$134, what was the average sum of money that a friend spent?

A. $128 B.$133
C. $138 D.$141
E. $145 Average of$127, $135,$129, $138,$126, $142, and$134=$$\frac{127+135+129+138+126+142+134}{7}$$=$$\frac{700}{7}$$+$$\frac{27+35+29+38+26+42+34}{7}$$=100+33=$133 Ans. (B) _________________ Regards, PKN Rise above the storm, you will find the sunshine Director Joined: 20 Feb 2015 Posts: 797 Concentration: Strategy, General Management Re: Seven friends went to an art festival and each spent a different sum [#permalink] ### Show Tags 30 Aug 2018, 23:50 Bunuel wrote: Seven friends went to an art festival and each spent a different sum of money. If the friends' totals were$127, $135,$129, $138,$126, $142, and$134, what was the average sum of money that a friend spent?

A. $128 B.$133
C. $138 D.$141
E. $145 average = $$\frac{sum}{7}$$ = $$\frac{931}{7}$$ =133 Math Expert Joined: 02 Aug 2009 Posts: 7029 Re: Seven friends went to an art festival and each spent a different sum [#permalink] ### Show Tags 31 Aug 2018, 00:27 1 1 Bunuel wrote: Seven friends went to an art festival and each spent a different sum of money. If the friends' totals were$127, $135,$129, $138,$126, $142, and$134, what was the average sum of money that a friend spent?

A. $128 B.$133
C. $138 D.$141
E. $145 the choices are spread so may not require calculations.. arrange in ascending order.. 126,127,129,134,135,138,142 the numbers are generally even spaced, so the average should be close to median.. so close to 133 B C,D and E are clearly out as they are close to largest and also A is close to the lowest B _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4170 Location: United States (CA) Re: Seven friends went to an art festival and each spent a different sum [#permalink] ### Show Tags 04 Sep 2018, 11:24 1 Bunuel wrote: Seven friends went to an art festival and each spent a different sum of money. If the friends' totals were$127, $135,$129, $138,$126, $142, and$134, what was the average sum of money that a friend spent?

A. $128 B.$133
C. $138 D.$141
E. $145 Sum/quantity = average, so we have: (127 + 135 + 129 + 138 + 126 + 142 + 134)/7 = 931/7 =$133

Alternate Solution:

Let’s pick a value that is close to all the sums, such as 130. We will add the signed differences between the sums and 130:

(127 - 130) + (135 - 130) + (129 - 130) + (138 - 130) + (126 - 130) + (142 - 130) + (134 - 130)

-3 + 5 + (-1) + 8 + (-4) + 12 + 4 = +21

So, the average of all the sums differs from 130 by 21/7 = +3; therefore, the average is 130 + 3 = \$133. Note that we would have obtained the same answer had we calculated the differences with a different number, such as 125 or 135.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Seven friends went to an art festival and each spent a different sum &nbs [#permalink] 04 Sep 2018, 11:24
Display posts from previous: Sort by