Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 22 Dec 2013, 01:46

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A mixture of nuts is to contain 3 parts...

Author Message
TAGS:
Intern
Joined: 06 Oct 2010
Posts: 41
Followers: 0

Kudos [?]: 1 [0], given: 29

A mixture of nuts is to contain 3 parts... [#permalink]  11 Oct 2010, 13:28
00:00

Difficulty:

5% (low)

Question Stats:

33% (01:19) correct 66% (01:52) wrong based on 9 sessions

A mixture of nuts is to contain 3 parts cashews to 6 parts almonds to 7 parts walnuts by weight. How many pounds of almonds will be needed to make 5 pounds of the mixture?

(A) \frac{3}{8}

(B) \frac{8}{15}

(C) 1\frac{1}{5}

(D) 1\frac{2}{3}

(E) 1 \frac{7}{8}

I feel like there's a critical piece of information that I haven't considered...
[Reveal] Spoiler: OA
CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2775
Location: Malaysia
Concentration: Technology, Entrepreneurship
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Followers: 151

Kudos [?]: 776 [1] , given: 226

Re: A mixture of nuts is to contain 3 parts... [#permalink]  11 Oct 2010, 13:38
1
KUDOS
niheil wrote:

A mixture of nuts is to contain 3 parts cashews to 6 parts almonds to 7 parts walnuts by weight. How many pounds of almonds will be needed to make 5 pounds of the mixture?

(A) \frac{3}{8}

(B) \frac{8}{15}

(C) 1\frac{1}{5}

(D) 1\frac{2}{3}

(E) 1 \frac{7}{8}

I feel like there's a critical piece of information that I haven't considered...

c:a:w = 3:6:7

let c= 3x; a=6x; w=7x

total weight = 16x....when 16x=5 => x=\frac{5}{16}

in this total weight contribution of almond = 6x = 6* \frac{5}{16}

= \frac{15}{8} = 1 \frac{7}{8}

Hence E
_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned

Jo Bole So Nihaal , Sat Shri Akaal

Gmat test review :
670-to-710-a-long-journey-without-destination-still-happy-141642.html

Intern
Joined: 06 Oct 2010
Posts: 41
Followers: 0

Kudos [?]: 1 [0], given: 29

Re: A mixture of nuts is to contain 3 parts... [#permalink]  11 Oct 2010, 17:40
What does x represent?
Manager
Joined: 29 Sep 2008
Posts: 154
Followers: 2

Kudos [?]: 16 [1] , given: 1

Re: A mixture of nuts is to contain 3 parts... [#permalink]  11 Oct 2010, 20:48
1
KUDOS
c:a:w=3:6:7

a=6/16*5=15/8
Intern
Joined: 06 Oct 2010
Posts: 41
Followers: 0

Kudos [?]: 1 [0], given: 29

Re: A mixture of nuts is to contain 3 parts... [#permalink]  11 Oct 2010, 22:47
Thanks for the help gurpreetsingh and mrinal2100.

Okay, so I see how the question was meant to be interpreted. But does anyone else think this question is a bit unclear and unfair? I know that the first sentence reads "... by weight", but it doesn't mention that the weight is 1 pound. Also, about the part of the question that reads "3 parts cashews to 6 parts almonds to 7 parts walnuts", I think this could have been more clearly stated. The sentence doesn't make it clear that 3 parts cashews weigh the same as 6 parts almonds and 7 parts walnuts.

What do you think?
Retired Moderator
Joined: 02 Sep 2010
Posts: 809
Location: London
Followers: 69

Kudos [?]: 370 [0], given: 25

Re: A mixture of nuts is to contain 3 parts... [#permalink]  11 Oct 2010, 23:21
Niheil, the question is stated in same way as most ratio & proportion questions. There is no ambiguity. Let me try and explain this.

For the moment consider a mixture of 2 substances in the ratio 5:9 by weight. If lets say the weights of each are x and y, what we know is that :

\frac{x}{y}=\frac{5}{9}

What this means is that x & y are of the form 5A and 9A respectively for some A. Different values of A represent different choices for the pair (x,y). This is just a technique to reduce the problem from 2 variables to 1 variable to make it easier to solve.

Same technique works in 3 variable problems, so lets say x:y:z=4:7:11

\frac{x}{y}=\frac{4}{7}

So x=4A, y=7A

\frac{y}{z}=\frac{7}{11}

Since y=7A, z=11A

For each choice of A, we get a set of (x,y,z) values in the appropriate ratio.
_________________

Math write-ups
1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry

My GMAT story

Intern
Joined: 06 Oct 2010
Posts: 41
Followers: 0

Kudos [?]: 1 [0], given: 29

Re: A mixture of nuts is to contain 3 parts... [#permalink]  12 Oct 2010, 20:46
Hi shrouded1. Thanks for the explanation. It was very helpful.
Re: A mixture of nuts is to contain 3 parts...   [#permalink] 12 Oct 2010, 20:46
Similar topics Replies Last post
Similar
Topics:
Glass A and glass B both contain a mixture of alcohol and 4 05 Jan 2004, 07:25
A vessel contains a mixture of two liquids A and B in the 2 21 Feb 2004, 15:23
Mixture of nuts is to contain 3 parts cashews to 6 parts 5 16 Jan 2005, 20:39
5 kg Nut A and 3 kg nut B were mixed and sold at the price 3 09 Aug 2006, 02:33
How many nuts - Mixtures 4 09 Jul 2011, 09:32
Display posts from previous: Sort by

# A mixture of nuts is to contain 3 parts...

 Powered by phpBB © phpBB Group and phpBB SEO 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®.