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

It is currently 22 Jul 2014, 22:25

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

An empty fuel tank with a capacity of 200 gallons was fill

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
4 KUDOS received
Current Student
User avatar
Affiliations: UWC
Joined: 09 May 2012
Posts: 399
Location: India
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Followers: 22

Kudos [?]: 192 [4] , given: 100

GMAT Tests User Reviews Badge
An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 03:59
4
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

77% (02:27) correct 23% (01:57) wrong based on 133 sessions
An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?

A 160
B 150
C 100
D 80
E 50
[Reveal] Spoiler: OA
Expert Post
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18683
Followers: 3232

Kudos [?]: 22223 [3] , given: 2601

Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 04:06
3
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
macjas wrote:
An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?

A 160
B 150
C 100
D 80
E 50


Say there are A gallons of fuel A in the tank, then there would be 200-A gallons of fuel B.

The amount of ethanol in A gallons of fuel A is 0.12A;
The amount of ethanol in 200-A gallons of fuel B is 0.16(200-A);

Since the total amount of ethanol is 30 gallons then 0.12A+0.16(200-A)=30 --> A=50.

Answer: E.

Hope it's clear.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

4 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 28 Dec 2010
Posts: 337
Location: India
Followers: 1

Kudos [?]: 32 [4] , given: 33

Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 04:13
4
This post received
KUDOS
marked E. Solved it this way:
total ethanol = 30 lts in 200lts therefore % = 30/200 *100 = 15%

now creating an equation in
Let qty of fuel A= x lts and Fuel b = 200-x lts

there fore 0.12x +0.16(200-x) = 30, solving we get x = 50lts.

Hope its clear.

Last edited by vibhav on 27 May 2012, 04:16, edited 1 time in total.
Senior Manager
Senior Manager
avatar
Joined: 28 Dec 2010
Posts: 337
Location: India
Followers: 1

Kudos [?]: 32 [0], given: 33

Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 04:16
additionally as be see the mixture's overall % is closer to 16% ethanol mixture, this should show you that the 16% ethanol mixture's quantity is much higher than 12% mixture.
2 KUDOS received
Current Student
User avatar
Affiliations: UWC
Joined: 09 May 2012
Posts: 399
Location: India
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Followers: 22

Kudos [?]: 192 [2] , given: 100

GMAT Tests User Reviews Badge
Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 04:18
2
This post received
KUDOS
Another way to do it (weighted averages):

30 of 200
12% = 15% 16%
A-------------Mixture--------------B
3 1


So 1 part of B and 3 parts of A make 200
So, A is 25% of the total 200 i.e 50

Last edited by macjas on 27 May 2012, 04:23, edited 2 times in total.
Senior Manager
Senior Manager
avatar
Joined: 28 Dec 2010
Posts: 337
Location: India
Followers: 1

Kudos [?]: 32 [0], given: 33

Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 04:19
To solve this problem using mixtures is also possible;
qty of A/qty of b = % of B (16%) - final %(15) / final %(15) - % of A(12%)

i.e. a/b = 1/4 and we know a+B = 200 hence a= 200/4 = 50
Senior Manager
Senior Manager
avatar
Joined: 28 Dec 2010
Posts: 337
Location: India
Followers: 1

Kudos [?]: 32 [0], given: 33

Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 04:20
@macjas thats a quick method as well! nice.
Current Student
User avatar
Affiliations: UWC
Joined: 09 May 2012
Posts: 399
Location: India
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Followers: 22

Kudos [?]: 192 [0], given: 100

GMAT Tests User Reviews Badge
Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 04:24
sorry... was having trouble formatting my post correctly
4 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 28 Mar 2012
Posts: 285
Concentration: Entrepreneurship
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 16

Kudos [?]: 140 [4] , given: 23

GMAT ToolKit User GMAT Tests User
Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 27 May 2012, 05:15
4
This post received
KUDOS
Hi,

The Allegation method is very useful in this case.

The percentage of ethanol in two mixtures = 12% & 16%
Final percentage in mixture = 30/200 * 100 = 15%

Following is the diagrammatic representation of the method:

Attachments

Allegations.jpg
Allegations.jpg [ 11.3 KiB | Viewed 2372 times ]


_________________

My posts: Solving Inequalities, Solving Simultaneous equations, Divisibility Rules

My story: 640 What a blunder!

Vocabulary resource: EdPrep

Facebook page: fb.com/EdPrep

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18683
Followers: 3232

Kudos [?]: 22223 [0], given: 2601

Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 08 Jul 2013, 00:10
Expert's post
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

To find DS questions by Kudos, sort by Kudos here: gmat-data-sufficiency-ds-141/
To find PS questions by Kudos, sort by Kudos here: gmat-problem-solving-ps-140/

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Status: suffer now and live forever as a champion!!!
Joined: 01 Sep 2013
Posts: 121
Location: India
Dheeraj: Madaraboina
GPA: 3.5
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 14 [0], given: 29

Premium Member
Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 18 May 2014, 14:14
We can solve this problem using weighted averages method.

First we need to find 30 is what % of 200 => 15%;

12%(A) ------------ 15%Final Mix ------------------ 16%(B)
3 1

w1/w2 = 1/3 ;

gallons of fuel A added = 1/4(200) =50;
1 KUDOS received
Intern
Intern
User avatar
Joined: 14 May 2014
Posts: 44
Followers: 0

Kudos [?]: 15 [1] , given: 1

Re: An empty fuel tank with a capacity of 200 gallons was fill [#permalink] New post 22 May 2014, 01:16
1
This post received
KUDOS
Let's take Fuel of type A = A litre

Fuel of type B = B litre

Ethanol in type A = 12% => 0.12A
Ethanol in type B = 16% => 0.16B

Now,
A + B = 200
0.12A + 0.16B = 30

Multiplying first with 0.16 and subtracting second

0.16A - 0.12A = 32-30
0.04A = 2
A = 2/0.04=> A = 50

Answer is E

_________________

Help me with Kudos if it helped you "

Re: An empty fuel tank with a capacity of 200 gallons was fill   [#permalink] 22 May 2014, 01:16
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic An empty fuel tank is filled with brand Z gasoline. When the Asifpirlo 1 21 Aug 2013, 00:44
27 Experts publish their posts in the topic Pipe A fills a tank of capacity 700 liters at the rate of 40 aiming4mba 11 29 Apr 2010, 10:40
Is the tankbeing emptied or filled ? I : The capacity of the shinewine 3 20 Aug 2006, 04:51
Pipe A fills a tank of 700 litres capacity at the rate of 40 GMATT73 3 29 Oct 2005, 09:23
Equal amounts of fuel were poured into two empty tanks of Zem 5 26 Jun 2005, 02:01
Display posts from previous: Sort by

An empty fuel tank with a capacity of 200 gallons was fill

  Question banks Downloads My Bookmarks Reviews Important topics  


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

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®.