GMAT Changed on April 16th - Read about the latest changes here

It is currently 23 Apr 2018, 20:35

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In a weight-lifting competition, the average (arithmetic mean) of Pier

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44636
In a weight-lifting competition, the average (arithmetic mean) of Pier [#permalink]

Show Tags

New post 03 Jan 2018, 21:22
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

94% (02:01) correct 6% (01:17) wrong based on 15 sessions

HideShow timer Statistics

In a weight-lifting competition, the average (arithmetic mean) of Pierre's two lifts was n pounds. If the weight of his first lift was 300 less pounds than twice the weight of his second lift, what is the weight, in pounds of his first lift?

A. n/2

B. 4n/3 - 100

C. 2n/3 + 350

D. 2n/6 + 350

E. (4n + 50)/3
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
S
Joined: 23 Feb 2017
Posts: 60
GMAT ToolKit User Premium Member
Re: In a weight-lifting competition, the average (arithmetic mean) of Pier [#permalink]

Show Tags

New post 03 Jan 2018, 22:10
Average of two weights
\(L_1\) + \(L_2\) =2n -----(1)

\(L_1\) = 2\(L_2\) - 300

\(L_1\)- 2\(L_2\) = - 300 -----(2)

Multiply eq 1 with 2
2\(L_1\) + 2\(L_2\) =4n -----(3)

Adding eq no 2 and 3
3\(L_1\) = 4n-300

\(L_1\) = 4n/3-100

Ans. B
_________________

+1 Kudos if you find it helpful.

SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1561
Premium Member CAT Tests
In a weight-lifting competition, the average (arithmetic mean) of Pier [#permalink]

Show Tags

New post 03 Jan 2018, 22:40
Bunuel wrote:
In a weight-lifting competition, the average (arithmetic mean) of Pierre's two lifts was n pounds. If the weight of his first lift was 300 less pounds than twice the weight of his second lift, what is the weight, in pounds of his first lift?

A. n/2

B. 4n/3 - 100

C. 2n/3 + 350

D. 2n/6 + 350

E. (4n + 50)/3

First lift = F
Second lift = S

The average of Pierre's two lifts was \(n\)

\(\frac{F + N}{2}= n\)
\(F + S = 2n\)

His first lift was 300 less pounds than twice the weight of his second lift
--We want to solve for F
--Define S in terms of F

\(F = 2S - 300\)
\(F + 300 = 2S\)
\(2S = F + 300\)
\(S = \frac{F+300}{2}\)

Back to the equation above, substitute for S
\(F + S = 2n\)

\(F +
\frac{F+300}{2} = 2n\)

\(2F + F + 300 = 4n\)
\(3F = 4n - 300\)

\(F = \frac{4}{3}n - \frac{300}{3}\)

\(F = \frac{4}{3}n - 100\)

Answer
[Reveal] Spoiler:
C

_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Intern
Intern
avatar
B
Joined: 09 Aug 2017
Posts: 29
Re: In a weight-lifting competition, the average (arithmetic mean) of Pier [#permalink]

Show Tags

New post 04 Jan 2018, 00:13
Smart no. works here.
Assume, second weight is 500, then first weight is 700 , and average of two weight that is 600 fits in "B".
Re: In a weight-lifting competition, the average (arithmetic mean) of Pier   [#permalink] 04 Jan 2018, 00:13
Display posts from previous: Sort by

In a weight-lifting competition, the average (arithmetic mean) of Pier

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.