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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Each of 435 bags contains at least one of the following [#permalink]

Show Tags

20 Feb 2012, 12:12

3

This post received KUDOS

21

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

68% (04:32) correct
32% (03:03) wrong based on 314 sessions

HideShow timer Statistics

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

Fill the diagram step by step:

Attachment:

Raisins, almonds, and peanuts.PNG [ 6.49 KiB | Viewed 14465 times ]

Also given that there are total of 435 bags and 210 bags contain almonds.

From the diagram 20y=5x --> y=x/4. Now, Total=435={Almonds}+10x+y+x --> 435=210+10x+x/4+x --> x=20 --> # of bags that contain only one kind of item is the sum of yellow segments: 10x+x+5x=16x=320.

Re: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

12 Aug 2013, 06:59

4

This post received KUDOS

1

This post was BOOKMARKED

docabuzar wrote:

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

My shortcut solution:

Attachments

ratio application.png [ 36.31 KiB | Viewed 12060 times ]

Re: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

14 Aug 2013, 09:57

Bunuel wrote:

docabuzar wrote:

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

Fill the diagram step by step:

Attachment:

Raisins, almonds, and peanuts.PNG

Also given that there are total of 435 bags and 210 bags contain almonds.

From the diagram 20y=5x --> y=x/4. Now, Total=435={Almonds}+10x+y+x --> 435=210+10x+x/4+x --> x=20 --> # of bags that contain only one kind of item is the sum of yellow segments: 10x+x+5x=16x=320.

Answer: D.

Hi Bunuel,

I am unable to understand. Can you please elaborate?

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

Fill the diagram step by step:

Attachment:

Raisins, almonds, and peanuts.PNG

Also given that there are total of 435 bags and 210 bags contain almonds.

From the diagram 20y=5x --> y=x/4. Now, Total=435={Almonds}+10x+y+x --> 435=210+10x+x/4+x --> x=20 --> # of bags that contain only one kind of item is the sum of yellow segments: 10x+x+5x=16x=320.

Answer: D.

Hi Bunuel,

I am unable to understand. Can you please elaborate?

Please tell me what exactly didn't you understand. Thank you.
_________________

Re: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

14 Aug 2013, 10:42

Diipz wrote:

Bunuel wrote:

docabuzar wrote:

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

Fill the diagram step by step:

Attachment:

Raisins, almonds, and peanuts.PNG

Also given that there are total of 435 bags and 210 bags contain almonds.

From the diagram 20y=5x --> y=x/4. Now, Total=435={Almonds}+10x+y+x --> 435=210+10x+x/4+x --> x=20 --> # of bags that contain only one kind of item is the sum of yellow segments: 10x+x+5x=16x=320.

Answer: D.

Hi Bunuel,

I am unable to understand. Can you please elaborate?

The value of almonds from the venn diagram. 20y=5x. Also the explanation leading to the target. Thanks.

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

Fill the diagram step by step:

Attachment:

Raisins, almonds, and peanuts.PNG

Also given that there are total of 435 bags and 210 bags contain almonds.

From the diagram 20y=5x --> y=x/4. Now, Total=435={Almonds}+10x+y+x --> 435=210+10x+x/4+x --> x=20 --> # of bags that contain only one kind of item is the sum of yellow segments: 10x+x+5x=16x=320.

Answer: D.

Hi Bunuel,

I am unable to understand. Can you please elaborate?

The value of almonds from the venn diagram. 20y=5x. Also the explanation leading to the target. Thanks.

The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts --> {only raisins and peanuts} = y --> {only almonds}=20y;

The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds --> {only peanuts}=x --> {only peanuts}={only almonds}/5 --> x={only almonds}/5 --> {only almonds}=5x.

Re: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

23 Oct 2013, 16:08

Asifpirlo wrote:

docabuzar wrote:

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

My shortcut solution:

I really liked your method but 256 is also divisible by 16? Why wouldnt that we an answer?//
_________________

“Confidence comes not from always being right but from not fearing to be wrong.”

Re: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

17 Nov 2013, 19:49

Bunuel,

I would really appreciate your help. When I read this: "The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. ". I thought that the number of bags that only contain almonds is equal to the number of bags that contain raisins and the number of bags that only contain peanuts. So I said A=20*(10x+x)=20*(11x). Rather than what you had which is the 20y, where y is the number of bags that are a mixtures of both raisins and peanuts.

This is more of an english question but how is "only" used in word problems on the GMAT. When I get question with an "only A & B" is this equal to ("only" A) & ("only" B). Or should I interpret it as "only" (A&B)

I would really appreciate your help. When I read this: "The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. ". I thought that the number of bags that only contain almonds is equal to the number of bags that contain raisins and the number of bags that only contain peanuts. So I said A=20*(10x+x)=20*(11x). Rather than what you had which is the 20y, where y is the number of bags that are a mixtures of both raisins and peanuts.

This is more of an english question but how is "only" used in word problems on the GMAT. When I get question with an "only A & B" is this equal to ("only" A) & ("only" B). Or should I interpret it as "only" (A&B)

Interpretation usually depends on the context. 'Bag containing only A and B' means the bag has A and B only, not say C. If the question wants to imply only A and only B, it will clarify as such. The bag containing only A and the bag containing only B.

Note that here you have assumed that the statement implies this: The number of bags that contain only almonds is 20 times the sum of the number of bags that contain only raisins and the number of bags that contain only peanuts. If number of bags of almonds is 20 times the sum of 2 other numbers, they will specify it as such. In the question they only give number of bags of almonds is 20 times the number of bags of only raisins and peanuts (which means that the intersection of all 3 in not included). So one number of bags is equal to another number of bags, not sum of two other numbers of bags.
_________________

Re: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

28 Oct 2014, 23:52

Asifpirlo wrote:

docabuzar wrote:

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

A. 256 B. 260 C. 316 D. 320 E. 350

My shortcut solution:

I dont think there is any logic for this answer, cause option [A] i.e. 256 is also divisible by 16, so please verify your findings...

Re: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

27 Dec 2015, 03:15

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: Each of 435 bags contains at least one of the following [#permalink]

Show Tags

28 Oct 2016, 06:19

It has to be 320. The process given until now is correct... now... Answer choice D: R+P+A = 320 Since 320/64 = 5, the multiplier for R : P : A = 40:4:20 is 5: R : P : A = 5(40:4:20) = 200:20:100. Here, R=200, P=20, A=100.

Since R+P+RP = 225, and in the ratio above R+P = 220, RP = 5. If D is the correct answer, the value of A will be 20 times the value of RP: A/RP = 100/5 = 20.

Whereas that is not the case with option A.

gmatclubot

Re: Each of 435 bags contains at least one of the following
[#permalink]
28 Oct 2016, 06:19

Campus visits play a crucial role in the MBA application process. It’s one thing to be passionate about one school but another to actually visit the campus, talk...

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...