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

It is currently 23 Apr 2019, 03:16

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

Peter combines two different types of trail mix, A and B, to make 400

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54462
Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 15 Aug 2017, 01:08
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

84% (02:02) correct 16% (02:19) wrong based on 173 sessions

HideShow timer Statistics

Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?

A. 80
B. 160
C. 240
D. 320
E. 360

_________________
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 15 Aug 2017, 02:06
2
1
48 ounces in 400 ounces is \(\frac{48}{400}*100 = 12\)%

We have two trails - Mix A and Mix B containing 10% and 20% of raisins respectively.
Therefore,

Mix A---------------Mix B
|10|-----------------|20|
----------|12|-----------
|8|-------------------|2|

Hence, they have to mixed in the ratio 4:1(Mix A:Mix B)

Therefore, we will need \(\frac{4}{5}*400\) of the trail mix being prepared to come from Mix A,
thereby making the total weight in ounces of Mix A, 320 ounces(Option D)
_________________
You've got what it takes, but it will take everything you've got
Manager
Manager
avatar
B
Joined: 20 Jun 2014
Posts: 51
GMAT 1: 630 Q49 V27
GMAT 2: 660 Q49 V32
Reviews Badge
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 15 Aug 2017, 02:22
0.1x+0.2(400-x)=38
80-38 =0.1x
320=x
D is the answer
Manager
Manager
avatar
B
Joined: 20 Jun 2014
Posts: 51
GMAT 1: 630 Q49 V27
GMAT 2: 660 Q49 V32
Reviews Badge
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 15 Aug 2017, 02:23
prachi18oct wrote:
0.1x+0.2(400-x)=38
80-38 =0.1x
320=x
D is the answer

It's not 38 but 48.
Still the method is alright.
Director
Director
avatar
P
Joined: 14 Nov 2014
Posts: 624
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.76
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 15 Aug 2017, 02:29
10/100 * A + 20/100 * B = 48 ----------------1
A+B = 400----------------------------2
solving 1 and 2 will give
A= 320
B = 80.
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1179
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 15 Aug 2017, 21:11
Bunuel wrote:
Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?

A. 80
B. 160
C. 240
D. 320
E. 360


.1A+.2B=.12(A+B)
A/B=4/1
4/5*400=320 ounces of mix A
D
Intern
Intern
User avatar
B
Joined: 28 May 2017
Posts: 18
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 16 Aug 2017, 00:54
Image


Sent from my iPhone using GMAT Club Forum mobile app
Senior Manager
Senior Manager
User avatar
P
Joined: 29 Jun 2017
Posts: 454
GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User Reviews Badge
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 17 Aug 2017, 06:37
1
let raisin in mix 1 is x that is used
let raisin in mix 2 is y that is used

mix 1 is 10% and mix 2 is 20% and blend is 48/400 *100 = 12%

so 10x +20y / (x+y) = 12
x=4y
x+y= 400
x=320 answer D
_________________
Give Kudos for correct answer and/or if you like the solution.
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 18 Aug 2017, 09:13
Bunuel wrote:
Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?

A. 80
B. 160
C. 240
D. 320
E. 360


We can let a = the amount of trail mix A and b = the amount of trail mix B. We have two equations:

a + b = 400

b = 400 - a

and

0.1a + 0.2b = 48

a + 2b = 480

Substituting b = 400 - a in a + 2b = 480, we have:

a + 2(400 - a) = 480

a + 800 - 2a = 480

320 = a

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2648
Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 18 Aug 2017, 12:50
Bunuel wrote:
Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?

A. 80
B. 160
C. 240
D. 320
E. 360

\(\frac{48}{400}\) = 12 percent raisins in mix of A + B

Change decimal percentages to integers to make calculation easier

10A + 20B = 12(A + B)

8B = 2A

\(\frac{A}{B}\) = \(\frac{8x}{2x}\) --> 10x parts total

10x = 400
x = 40
A = 8x = (8)(40) = 320

Answer D
_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver



For practice SC questions with official explanations that were posted and moderated by the SC Team,
go to SC Butler here: https://gmatclub.com/forum/project-sc-butler-get-2-sc-questions-everyday-281043.html
Manager
Manager
avatar
G
Joined: 01 Feb 2017
Posts: 211
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 20 Aug 2017, 02:06
Let total Weight of Trail A is 'a' and of Trail B is 'b'.

According to statement:

Equation for Raisins weight:
0.1a + 0.2b = 48 ----- eqn 1

Equation for Total weight:
a + b = 400 ----- eqn 2

Solving both equation, we get
a= 320 & b= 80.

Hence, Ans D
Manager
Manager
User avatar
G
Joined: 27 Dec 2016
Posts: 232
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)
Reviews Badge
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 20 Aug 2017, 06:12
Bunuel wrote:
Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?

A. 80
B. 160
C. 240
D. 320
E. 360


1. A + B = 400 ounces.
2. 0.1A + 0.2B = 48 ~ A + 2B = 480.
3. Solve two equation, got B = 80 and A = 320.

Hence the answer is D.
_________________
There's an app for that - Steve Jobs.
Manager
Manager
avatar
B
Joined: 13 Apr 2017
Posts: 82
Location: India
Concentration: General Management, International Business
GMAT 1: 660 Q40 V41
GPA: 3.4
WE: Engineering (Energy and Utilities)
Re: Peter combines two different types of trail mix, A and B, to make 400  [#permalink]

Show Tags

New post 20 Aug 2017, 07:33
Bunuel wrote:
Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?

A. 80
B. 160
C. 240
D. 320
E. 360


Using allegation :

Assume:
Weight of A = A
Weight of B = B
Conc. of A = 10%
Conc. of B = 20%
Avg. Conc. of mix. = (48/400)*100 = 12%

(A/(400-A)) = (20-12)/(12-10)
A=320
GMAT Club Bot
Re: Peter combines two different types of trail mix, A and B, to make 400   [#permalink] 20 Aug 2017, 07:33
Display posts from previous: Sort by

Peter combines two different types of trail mix, A and B, to make 400

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.