Last visit was: 14 Jul 2024, 22:18 It is currently 14 Jul 2024, 22:18
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Linda, Robert, and Pat packed a certain number of boxes with books. Wh

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640863 [22]
Given Kudos: 85011
Director
Joined: 06 Jan 2015
Posts: 732
Own Kudos [?]: 1599 [0]
Given Kudos: 579
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE:Information Technology (Computer Software)
Director
Joined: 01 Oct 2017
Status:Learning stage
Posts: 822
Own Kudos [?]: 1367 [1]
Given Kudos: 41
WE:Supply Chain Management (Energy and Utilities)
Manager
Joined: 03 Sep 2018
Posts: 175
Own Kudos [?]: 93 [0]
Given Kudos: 924
Location: Netherlands
GPA: 4
Linda, Robert, and Pat packed a certain number of boxes with books. Wh [#permalink]
I) $$\frac{3(P+R+L)}{10}=L$$

II) $$R=P+10$$

II) in I): $$\frac{3(2P+10+L)}{10} =L\implies 6P+30=7L$$

II) in I) $$\frac{3(R+R-10+L)}{10}=L \implies 6R-30=7L$$

We cannot use $$L$$ to compare $$R$$ and $$P$$. E
GMATWhiz Representative
Joined: 07 May 2019
Posts: 3401
Own Kudos [?]: 1857 [1]
Given Kudos: 68
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Re: Linda, Robert, and Pat packed a certain number of boxes with books. Wh [#permalink]
1
Kudos
Step 1: Analyse Question Stem

Let the number of books packed by Linda, Robert and Pat be L, R and P respectively.
The ratio of R : P has to be found out.

Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE

Statement 1: Linda packed 30 percent of the total number of boxes of books.

If the total number of books packed by the three is 100, then we can only say that L = 30 and R + P = 70.

However, we cannot find out the exact values of R and P and hence cannot find the value of the ratio of R:P

The data in statement 1 is insufficient to find a unique value of the required ratio.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.

Statement 2: Robert packed 10 more boxes of books than Pat did.

This means R = P + 10; therefore, the required ratio = $$\frac{P + 10 }{ P}$$

Statement 2 does not give us the value of P, hence the exact value of the ratio cannot be calculated.

The data in statement 2 is insufficient to find a unique value of the required ratio.
Statement 2 alone is insufficient. Answer option B can be eliminated.

Step 3: Analyse Statements by combining

From statement 1: Linda packed 30 percent of the total number of boxes of books.
From statement 2: Robert packed 10 more boxes of books than Pat did.

If the total number of books = 100, then L = 30, R + P = 70 and R = P + 10.
Solving for R and P, we get, R = 40 and P = 30. R : P = 4 : 3

If the total number of books = 200, then L = 60, R + P = 140 and R = P + 10.
Solving for R and P, we get, R = 75 and P = 65. R : P = 15 : 13

Combining the statements is not sufficient to give us a unique value for the required ratio.

The combination of statements is issufficient to find a unique value of the required ratio.
Statements 1 and 2 together are insufficient. Answer option C can be eliminated.

The correct answer option is E.
Non-Human User
Joined: 09 Sep 2013
Posts: 33971
Own Kudos [?]: 851 [0]
Given Kudos: 0
Re: Linda, Robert, and Pat packed a certain number of boxes with books. Wh [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: Linda, Robert, and Pat packed a certain number of boxes with books. Wh [#permalink]
Moderator:
Math Expert
94342 posts