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

It is currently 22 Oct 2019, 07:32

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

At a refreshment stand, each can of soda sells for the same price and

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 09 Jan 2015
Posts: 1
At a refreshment stand, each can of soda sells for the same price and  [#permalink]

Show Tags

New post Updated on: 25 Jan 2015, 03:22
1
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (01:11) correct 14% (01:07) wrong based on 291 sessions

HideShow timer Statistics

At a refreshment stand, each can of soda sells for the same price and each sandwich sells for the same price. What is the total price for 2 sandwiches and 3 cans of soda at the stand?

(1) At the stand the total price for 1 sandwich and 1 can of soda if $3
(2) At the stand the total price for 3 sandwiches and 2 cans of soda is $8

Originally posted by ajca on 24 Jan 2015, 21:44.
Last edited by Bunuel on 25 Jan 2015, 03:22, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Manager
avatar
Joined: 27 Oct 2013
Posts: 198
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: At a refreshment stand, each can of soda sells for the same price and  [#permalink]

Show Tags

New post 24 Jan 2015, 23:24
1
2
here we go...

Let price of Soda = p
Let price of sandwich = m

2m + 3p = ??

St1: m + p = 3

m = 2, p = 1 -----> holds true
m = 1.5, p = 1.5 -----> holds true

Clearly not sufficient


St2: 3m + 2p = 8

m = 2, p = 1----> holds true
m = 1.5, p = 1.75 -----> holds true


Clearly not sufficient

Combining St1 and St2

m + p = 3
3m + 2p = 8

Solve---
m = 2, p = 1

Hence C is the winner here.
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15309
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: At a refreshment stand, each can of soda sells for the same price and  [#permalink]

Show Tags

New post 25 Jan 2015, 00:34
1
1
Hi ajca,

This DS question is built on "system" Algebra, without any of the factors/multiples shortcuts that are common on DS versions of these questions.

We're asked for the total price of 2 sandwiches and 3 cans of soda.

**Note: When translating the Facts into Algebra, I'm going to use....

W = # of sandwiches
C = # of cans of soda

The question asks us for 2W + 3C

Fact 1: 1 sandwich and 1 can of soda = $3

W + C = 3

This is 1 equation with 2 variables, so there's no way to figure out the answer to the question. Here's the proof:

IF....
W = 1
C = 2
Then the answer to the question is 2(1) + 3(2) = 8

IF.....
W = 2
C = 1
Then the answer to the question is 2(2) + 3(1) = 7
Fact 1 is INSUFFICIENT

Fact 2: 3 sandwiches and 2 cans of soda = $8

We have a similar situation to what we have in Fact 1: 1 equation and 2 variables.....

3W + 2C = 8

IF....
W = 2
C = 1
Then the answer to the question is 2(2) + 3(1) = 7

IF....
W = 1
C = 2.5
Then the answer to the question is 2(1) + 3(2.5) = 9.5
Fact 2 is INSUFFICIENT

Combined, we have...
W + C = 3
3W + 2C = 8

This is a "system" - 2 variables and 2 unique equations, which means that we CAN solve for the values of W and C (and then answer the question.
Combined, SUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13393
Re: At a refreshment stand, each can of soda sells for the same price and  [#permalink]

Show Tags

New post 08 Oct 2018, 16:33
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 Club Bot
Re: At a refreshment stand, each can of soda sells for the same price and   [#permalink] 08 Oct 2018, 16:33
Display posts from previous: Sort by

At a refreshment stand, each can of soda sells for the same price and

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





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