It is currently 25 Feb 2018, 13:56

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Three different types of wine are 10%, 12%, and 14% alcohol, respectiv

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43916
Three different types of wine are 10%, 12%, and 14% alcohol, respectiv [#permalink]

Show Tags

New post 01 May 2017, 01:35
Expert's post
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (01:34) correct 12% (02:51) wrong based on 77 sessions

HideShow timer Statistics

Three different types of wine are 10%, 12%, and 14% alcohol, respectively. If a liters of the 10% wine, b liters of the 12% wine, and c liters of the 14% wine are combined to form a+b+c liters of an 11% alcohol blend, then what is a in terms of b and c?

A. b + 3c

B. c + 3b

C. 2b + 3c

D. (c + b)/4

E. b + c
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1960
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: Three different types of wine are 10%, 12%, and 14% alcohol, respectiv [#permalink]

Show Tags

New post 01 May 2017, 02:48
1
This post received
KUDOS
Expert's post
Bunuel wrote:
Three different types of wine are 10%, 12%, and 14% alcohol, respectively. If a liters of the 10% wine, b liters of the 12% wine, and c liters of the 14% wine are combined to form a+b+c liters of an 11% alcohol blend, then what is a in terms of b and c?

A. b + 3c

B. c + 3b

C. 2b + 3c

D. (c + b)/4

E. b + c


10% of a + 12% of b + 14% of c = 11% of (a+b+c)

i.e. 10a + 12b + 14 c = 11a + 11b + 11c
i.e. a = b+3c

Answer: Option A
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2094
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: Three different types of wine are 10%, 12%, and 14% alcohol, respectiv [#permalink]

Show Tags

New post 01 May 2017, 04:02
We can use allegations to solve the problem

a(10) b(12)
total(11)
1 : 1

a(10) c(14)
total(11)
1 : 3

Hence a in the form of b & c will be b+3c(Option A)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Director
Director
avatar
S
Joined: 21 Mar 2016
Posts: 551
Reviews Badge
Re: Three different types of wine are 10%, 12%, and 14% alcohol, respectiv [#permalink]

Show Tags

New post 01 May 2017, 22:37
its a straight approach,,
i will prefer alligation approach when there are two items

back to the question,,

.1 a + .12 b + .14c = .11(a+b+c)

solving we get a = b + 3c
ans A
Manager
Manager
User avatar
B
Joined: 02 Aug 2013
Posts: 64
Location: India
Concentration: Technology, Leadership
WE: Programming (Consulting)
GMAT ToolKit User
Re: Three different types of wine are 10%, 12%, and 14% alcohol, respectiv [#permalink]

Show Tags

New post 02 May 2017, 22:34
New Solution = Sol A + Sol B + Sol C ---> (A + B + C) ---------------------------- eq 1

Since, New Solution = (A + B + C) ---> New Solution is 14% alcohol ----> .14 (A+B+C) ------ eq 2
Sol A => A = .10a ------ eq 3
Sol B => B = .12b ------ eq 4
Sol C => C = .14c ------ eq 5

Equate values of eq 2,3,4 and 5 in eq 1

=> .10a + .12b + .14c = .11 (a+b+c)
=> 10a + 12b + 14c = 11 (a+b+c)
=> 12b-11b + 14c - 11c = 11a -10a
=> b + 3c = a

IMO Ans: A :-D
Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2192
Location: United States (CA)
Re: Three different types of wine are 10%, 12%, and 14% alcohol, respectiv [#permalink]

Show Tags

New post 06 May 2017, 16:12
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
Three different types of wine are 10%, 12%, and 14% alcohol, respectively. If a liters of the 10% wine, b liters of the 12% wine, and c liters of the 14% wine are combined to form a+b+c liters of an 11% alcohol blend, then what is a in terms of b and c?

A. b + 3c

B. c + 3b

C. 2b + 3c

D. (c + b)/4

E. b + c


We can create the following equation and isolate a:

0.1a + 0.12b + 0.14c = 0.11(a + b + c)

10a + 12b + 14c = 11(a + b + c)

10a + 12b + 14c = 11a + 11b + 11c

b + 3c = a

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Three different types of wine are 10%, 12%, and 14% alcohol, respectiv   [#permalink] 06 May 2017, 16:12
Display posts from previous: Sort by

Three different types of wine are 10%, 12%, and 14% alcohol, respectiv

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.