GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Jan 2019, 15:05

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# Brand W nut mix contains 24% cashews by weight, and Brand X

Author Message
TAGS:

### Hide Tags

CEO
Joined: 11 Sep 2015
Posts: 3357
Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

Updated on: 29 Apr 2018, 06:58
1
Top Contributor
7
00:00

Difficulty:

65% (hard)

Question Stats:

58% (01:03) correct 42% (01:46) wrong based on 231 sessions

### HideShow timer Statistics

Brand W nut mix contains 24% cashews by weight, and Brand X nut mix contains 9% cashews by weight. If w pounds of Brand W nut mix are combined with x pounds of Brand X nut mix to produce y pounds of nut mix that is 15% cashews by weight, what is the value of x?

(1) w = 30
(2) y = 75

NOTE: kudos for all correct solutions.

_________________

Test confidently with gmatprepnow.com

Originally posted by GMATPrepNow on 06 Oct 2016, 10:13.
Last edited by GMATPrepNow on 29 Apr 2018, 06:58, edited 1 time in total.
Manager
Joined: 28 Jun 2016
Posts: 207
Concentration: Operations, Entrepreneurship
Re: Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

06 Oct 2016, 10:41
2
w : x :y = 6:9:15

St1:

If w=30,

Ratio multiplier=30/6=5

x=5*9=45

Sufficient

St1:

If y=75

Ratio multiplier=75/15=5

x=5*9=45

Sufficient

D

Sent from my iPhone using GMAT Club Forum mobile app
SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

06 Oct 2016, 10:52
2
1
w(0.24) + x(0.09) = 0.15(x + w)
0.09w = 0.06x
3w = 2x

St1: w = 30 --> x = 45
Sufficient

St2: y = 75 --> x + w = 75
x + (2/3)x = 75
5x = 225
x = 45
Sufficient

Intern
Joined: 08 Jan 2015
Posts: 13
Location: India
GMAT 1: 690 Q50 V33
Re: Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

06 Oct 2016, 11:40
acegmat123

Thanks for the post. But I couldn't get how accurate the ratio w:x:y = 6:9:15 is...can you elaborate how number 6 arrives?
Manager
Joined: 28 Jun 2016
Posts: 207
Concentration: Operations, Entrepreneurship
Re: Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

06 Oct 2016, 13:43
9------15-------------24

15 is closer to 9 than to 24. So x contributed more than w.

We just have to reverse their differences to get values.

w=| final % - % in x |

=15-9=6

Similarly

x=|final % - % in w |

=24-15=9

y= x+w= 6+9= 15

w : x : y = 6:9:15

It works for all mixture problems where two components are mixed to get final component.

Sent from my iPhone using GMAT Club Forum mobile app
VP
Joined: 05 Mar 2015
Posts: 1003
Re: Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

09 Oct 2016, 19:43
1
GMATPrepNow wrote:
Brand W nut mix contains 24% cashews by weight, and Brand X nut mix contains 9% cashews by weight. If w pounds of Brand W nut mix are combined with x pounds of Brand X nut mix to produce y pounds of nut mix that is 15% cashews by weight, what is the value of x?

(1) w = 30
(2) y = 75

NOTE: kudos for all correct solutions.

Avg weighted formula=W1/W2=(A2-Avg.)/(Avg.-A1)
W1=w; W2=x
A1=24; A2=9
Avg= 15

(1) W1=30
substituting respective values in W1/W2=(A2-Avg.)/(Avg.-A1)
w2=x=45.........suff..

(2) W1+W2=y=75
W1=75-W2
substituting respective values in W1/W2=(A2-Avg.)/(Avg.-A1)
w2=x=45.........suff..

Ans D
Manager
Joined: 29 Aug 2008
Posts: 110
Re: Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

11 Oct 2016, 21:57
1
By following allegation method we know that the mixtures W and X have been mixed in ratio:

W:X = 6:9
which is 2:3

1) From first equation W = 30 we know that 2 parts of W are equal to 30 so 3 parts would be equal to 45. -- Sufficient

2) From second equation Y = 75 we know that y is made up of W and X in ratio 2:3 so total 5 parts of Y = 75, 1 part is equal to 15 and 3 parts is 45. -- Sufficient.

Option D.
Attachments

226770.jpg [ 10.87 KiB | Viewed 1556 times ]

Intern
Joined: 29 Apr 2017
Posts: 30
Location: India
Concentration: Finance, Accounting
Re: Brand W nut mix contains 24% cashews by weight, and Brand X  [#permalink]

### Show Tags

11 Nov 2018, 10:04
it can simply solved by Alligations

W X
24% 9%
15%

6% 9%
2 3

so ratio of W and X is 2: 3

Stmt 1 and II are both sufficient individually
Re: Brand W nut mix contains 24% cashews by weight, and Brand X &nbs [#permalink] 11 Nov 2018, 10:04
Display posts from previous: Sort by