A mixture of nuts is to contain 3 parts cashews to 6 parts a : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 22:27

### 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 June
Open Detailed Calendar

# A mixture of nuts is to contain 3 parts cashews to 6 parts a

Author Message
TAGS:

### Hide Tags

Intern
Joined: 17 Apr 2007
Posts: 24
Followers: 0

Kudos [?]: 5 [0], given: 0

A mixture of nuts is to contain 3 parts cashews to 6 parts a [#permalink]

### Show Tags

23 Apr 2007, 05:56
5
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

75% (02:08) correct 25% (01:31) wrong based on 282 sessions

### HideShow timer Statistics

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) $$1 \frac{7}{8}$$
[Reveal] Spoiler: OA
Director
Joined: 14 Jan 2007
Posts: 777
Followers: 2

Kudos [?]: 136 [0], given: 0

### Show Tags

23 Apr 2007, 06:43
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.) 3/8
b.) 8/15
c.) 6/5
d.) 5/3
e.) 15/8

First of all, write the ratios in a mixture.
The cashews, almonds and walnuts are in ratio 3:6:7
It means that, in 16 pounds of mixture, cashews are 3 pounds, almonds are 6 pounds, walnuts are 7 pounds

So in 5 pounds of mixture the almonds will be = 6*5/16 = 15/8
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5062
Location: Singapore
Followers: 30

Kudos [?]: 358 [0], given: 0

### Show Tags

23 Apr 2007, 21:00
c:a:w = 3:6:7

Total number of parts = 16

So 5 pounds = 16 parts.
Therefore 6 parts = 6/16 * 5 = 15/8 pounds,
Director
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait
Followers: 14

Kudos [?]: 272 [0], given: 0

### Show Tags

23 Apr 2007, 21:09
Ratio of almonds to the mixture = 6 / 16

for a mixture of 5 --> almonds = 5 x 6/16 = 30/16 = 15/8

Manager
Joined: 04 Oct 2006
Posts: 78
Followers: 1

Kudos [?]: 27 [0], given: 0

### Show Tags

02 May 2007, 03:31
I write the following on my paper:

C A W = T
3 6 7 = 16
X = 5

Then after simplification X = 15/8. Answer e.
Manager
Joined: 18 Apr 2007
Posts: 120
Followers: 1

Kudos [?]: 5 [1] , given: 0

### Show Tags

03 May 2007, 16:41
1
KUDOS
First write out the ratio:

3:6:7

Now we add x as the number of pounds of each part:

3x+6x+7x=5(the total # of pounds needed)

16x=5 --> x=5/16

This means that each pounds is 5/16 of the total.

Multiply this by the 6 parts of almonds and you get:

(5/16)*6 = 30/16 = reduces to 15/8

SVP
Joined: 05 Jul 2006
Posts: 1743
Followers: 6

Kudos [?]: 317 [0], given: 49

### Show Tags

14 Aug 2009, 00:38
what is the quickest way of solving this problem?

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.) 3/8
b.) 8/15
c.) 6/5
d.) 5/3
e.) 15/8

16 x = 5 pounds , x = 5/16

Almonds weight = 5/16*6 = 15/8

also, are there any other tricks/pointers that ya'll might know of that involve ratios? thanks a lot![/quote]
Manager
Joined: 22 Jan 2010
Posts: 121
Followers: 2

Kudos [?]: 5 [0], given: 15

### Show Tags

25 Jan 2010, 22:05
CAW
3:6:7

A = 6/16

6/16=x/5
x=15/8
Manager
Joined: 10 Feb 2010
Posts: 193
Followers: 2

Kudos [?]: 106 [0], given: 6

### Show Tags

12 Feb 2010, 18:06
6 out of 16 => ? out of 5

solving 15/8
Intern
Affiliations: BYU M S
Joined: 01 Sep 2010
Posts: 8
Schools: Harvard, BYU
Followers: 0

Kudos [?]: 1 [0], given: 31

### Show Tags

04 Oct 2010, 16:33
16 ---------- 6

5 ----------- x

Cross multiplication:

X = 15/8

Maybe this is the easyest way to solve.
CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2795
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Followers: 226

Kudos [?]: 1620 [1] , given: 235

Re: A mixture of nuts is to contain 3 parts... [#permalink]

### Show Tags

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 Club Premium Membership - big benefits and savings

Gmat test review :
http://gmatclub.com/forum/670-to-710-a-long-journey-without-destination-still-happy-141642.html

Manager
Joined: 29 Sep 2008
Posts: 146
Followers: 3

Kudos [?]: 105 [1] , given: 1

Re: A mixture of nuts is to contain 3 parts... [#permalink]

### Show Tags

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: 39
Followers: 0

Kudos [?]: 20 [0], given: 29

Re: A mixture of nuts is to contain 3 parts... [#permalink]

### Show Tags

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: 805
Location: London
Followers: 105

Kudos [?]: 957 [0], given: 25

Re: A mixture of nuts is to contain 3 parts... [#permalink]

### Show Tags

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.
_________________
Intern
Joined: 06 Oct 2010
Posts: 39
Followers: 0

Kudos [?]: 20 [0], given: 29

Re: A mixture of nuts is to contain 3 parts... [#permalink]

### Show Tags

12 Oct 2010, 20:46
Hi shrouded1. Thanks for the explanation. It was very helpful.
Manager
Joined: 19 Dec 2010
Posts: 145
Followers: 2

Kudos [?]: 29 [0], given: 12

### Show Tags

13 Mar 2011, 01:30
easier problem than the ones ive seen on here...
3x+6x+7x = 5
x= 5/16
6x = 6(5/16) = 5/8
Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 651
Followers: 42

Kudos [?]: 863 [0], given: 39

### Show Tags

14 Dec 2011, 11:34
The ratios = 3:6:7
Almond in 1 pound 1*6/16 = 6/16
Almond in 5 pound = [6/16]*5= 15/8
Ans. E
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13468
Followers: 575

Kudos [?]: 163 [0], given: 0

### Show Tags

01 Feb 2014, 10:05
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13468
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: A mixture of nuts is to contain 3 parts cashews to 6 parts a [#permalink]

### Show Tags

02 Jun 2016, 10:12
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: A mixture of nuts is to contain 3 parts cashews to 6 parts a   [#permalink] 02 Jun 2016, 10:12
Similar topics Replies Last post
Similar
Topics:
4 A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 3 17 Feb 2016, 21:41
A certain mixture of nuts consists of 5 parts almonds to 2 parts walnu 2 23 Nov 2015, 12:09
35 A mixture of sand and cement contains, 3 parts of sand and 5 16 01 Jun 2014, 11:14
11 One vessel contains a mixture of 5 parts pure wine and 3 parts soda 8 20 Aug 2011, 13:18
How many nuts - Mixtures 4 09 Jul 2011, 09:32
Display posts from previous: Sort by