It is currently 17 Oct 2017, 04:47

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

M00-01

  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: 41871

Kudos [?]: 128525 [0], given: 12180

M00-01 [#permalink]

Show Tags

New post 16 Sep 2014, 00:14
Expert's post
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

45% (02:09) correct 55% (02:08) wrong based on 60 sessions

HideShow timer Statistics

At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?

A. $21
B. $27
C. $31
D. $41
E. It cannot be determined
[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

Kudos [?]: 128525 [0], given: 12180

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128525 [0], given: 12180

Re M00-01 [#permalink]

Show Tags

New post 16 Sep 2014, 00:14
Expert's post
2
This post was
BOOKMARKED
Official Solution:

At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?

A. $21
B. $27
C. $31
D. $41
E. It cannot be determined


Let's suppose that the price of a burger is \(B\), of a shake - \(S\) and that of a cola is \(C\). We can then construct these equations:
\(3B+7S+C = 120\)
\(4B+10S+C = 164.5\)

Subtracting the first equation from the second gives us \(B+3S=44.5\).

Now if we subtract the new equation two times from first or 3 times from second we will get \(B+S+C=31\). In any case, there is no necessity to know each item's price, just the sum.


Answer: C
_________________

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

Kudos [?]: 128525 [0], given: 12180

3 KUDOS received
Intern
Intern
avatar
B
Joined: 09 Feb 2015
Posts: 20

Kudos [?]: 17 [3], given: 676

GMAT ToolKit User
Re: M00-01 [#permalink]

Show Tags

New post 18 May 2015, 06:50
3
This post received
KUDOS
2
This post was
BOOKMARKED
Another solution:
Given: 3B+ 7S + C = 120 Multiply by 3: 9B+21S+3C=360 (1)
4B + 10S + C = 164.5 Multiply by 2: 8B + 20S + 2C = 329 (2)
=> (1) - (2) = 31.

Kudos [?]: 17 [3], given: 676

Manager
Manager
User avatar
Joined: 02 Nov 2014
Posts: 215

Kudos [?]: 129 [0], given: 75

GMAT Date: 08-04-2015
GMAT ToolKit User Reviews Badge
Re M00-01 [#permalink]

Show Tags

New post 13 Oct 2015, 04:50
I think this is a high-quality question and I agree with explanation. Great Q.
Thanks,

Binit.

Kudos [?]: 129 [0], given: 75

CEO
CEO
User avatar
G
Joined: 17 Jul 2014
Posts: 2604

Kudos [?]: 392 [0], given: 182

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: M00-01 [#permalink]

Show Tags

New post 14 Oct 2015, 12:27
Multiply first equation by 2:
6B+14S+2C=240

subtract second equation from the new one
6B+14S+2C=240 _
4B+10S+1C=164.50

get:
2B+4S+1C=75.50

now, if we subtract from the second equation the first one before we multiply, we get:
4B+10S+1C=164.50 _
3B+7S+1C=120
and get B+3S = 44.50

ok, now we're getting to something.
2B+4S+1C=75.50
and
B+3S = 44.50
substract the second one from the first one and get B+S+C=31.
answer choice C.

Kudos [?]: 392 [0], given: 182

1 KUDOS received
Intern
Intern
User avatar
Joined: 14 May 2016
Posts: 11

Kudos [?]: 6 [1], given: 64

Schools: INSEAD Jan '19
Premium Member
Re: M00-01 [#permalink]

Show Tags

New post 28 Aug 2016, 12:46
1
This post received
KUDOS
I understood it when I solved it again without any time constraints...
Here's what I learned from this:

When writing more than one linear equation (with the same variables), write them one under the other for the facilitation of a quick insight!

Kudos [?]: 6 [1], given: 64

Intern
Intern
avatar
Joined: 13 Jul 2016
Posts: 1

Kudos [?]: [0], given: 2

GMAT 1: 740 Q49 V41
Reviews Badge
Re: M00-01 [#permalink]

Show Tags

New post 27 Dec 2016, 01:16
Is there any way for solving 3 variable equations as fast as possible.

Kudos [?]: [0], given: 2

Intern
Intern
avatar
B
Joined: 17 Dec 2016
Posts: 14

Kudos [?]: 5 [0], given: 29

Location: United States (NY)
Concentration: Sustainability
GPA: 3.76
WE: Other (Military & Defense)
GMAT ToolKit User CAT Tests
Re M00-01 [#permalink]

Show Tags

New post 25 Jul 2017, 20:12
I think this is a high-quality question and I agree with explanation. I was looking for some type of hook. Very good question!

Kudos [?]: 5 [0], given: 29

Manager
Manager
avatar
B
Joined: 14 Jun 2016
Posts: 65

Kudos [?]: 11 [0], given: 38

Location: India
GMAT 1: 600 Q49 V21
WE: Engineering (Manufacturing)
Reviews Badge
Re: M00-01 [#permalink]

Show Tags

New post 22 Aug 2017, 11:04
Very difficult to answer under time constraints; any simple way to figure out or hit and trial is the only option?
_________________

If you appreciate my post then please click +1Kudos :)

Kudos [?]: 11 [0], given: 38

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128525 [0], given: 12180

Re: M00-01 [#permalink]

Show Tags

New post 22 Aug 2017, 11:21

Kudos [?]: 128525 [0], given: 12180

Re: M00-01   [#permalink] 22 Aug 2017, 11:21
Display posts from previous: Sort by

M00-01

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

Moderators: Bunuel, Vyshak



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®.