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

It is currently 18 Jan 2019, 05:53

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

At a certain restaurant, the total price for one hamburger a

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

Hide Tags

 
Intern
Intern
avatar
Joined: 24 May 2010
Posts: 12
At a certain restaurant, the total price for one hamburger a  [#permalink]

Show Tags

New post 14 Jun 2010, 15:39
1
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (00:45) correct 27% (00:51) wrong based on 48 sessions

HideShow timer Statistics

At a certain restaurant, the total price for one hamburger and one drink is $3.50. How much does one drink cost?

(1) If the price of the drink were half of its present price, the price of a drink would be 1/5 of the price of a hamburger.

(2) The cost of one hamburger and two drinks is $4.50.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52283
Re: Kaplan Premier Data Sufficiency Test, Problem #36  [#permalink]

Show Tags

New post 14 Jun 2010, 16:18
Bradrs24 wrote:
Hi, I was just wondering how you guys would solve this problem. I got it wrong because I didn't use Kaplan's n-variable, n-equations rule. Which basically states that if for every variable there is a linear equation , then it is sufficient.

At a certain restaurant, the total price for one hamburger and one drink is $3.50. How much does one drink cost?

Statement 1- If the price of the drink were half of its present price, the price of a drink would be 1/5 of the price of a hamburger.

Statement 2- The cost of one hamburger and two drinks is $4.50.

- I picked B, because I thought the problem couldn't be solved from statement one. But to some things up, I was just wondering if you guys apply the n-variable, n-equations rule to statement 1 and 2 and move on knowing you got the problem correctly.


This rule needs important restriction: equations for variables must be distinct, meaning that no equation can be derived with the help of others or by arithmetic operation (multiplication, addition).

For example:
\(x+y=2\) and \(3x+3y=6\) --> we do have two linear equations and two variables but we can not solve for \(x\) or \(y\) as the second equation is just the first one multiplied by 3 (basically we have only one distinct equation);
OR
\(x+y=1\), \(y+z=2\) and \(x+2y+z=3\) --> we have 3 linear equations and 3 variables but we can not solve for \(x\), \(y\) or \(z\) as the third equation can be derived with the help of first two if we sum them (basically we have only two distinct equation);

As for the original question:
Given: \(h+d=3.5\). Question: \(d=?\)

(1) \(\frac{d}{2}=\frac{h}{5}\). Two distinct linear equations for two variables, hence sufficient.

(2) \(h+2d=4.5\). Two distinct linear equations for two variables, hence sufficient.

Answer: D.

Hope it helps.
_________________

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9424
Premium Member
Re: At a certain restaurant, the total price for one hamburger a  [#permalink]

Show Tags

New post 19 Dec 2018, 23:30
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: At a certain restaurant, the total price for one hamburger a &nbs [#permalink] 19 Dec 2018, 23:30
Display posts from previous: Sort by

At a certain restaurant, the total price for one hamburger a

  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®.