It is currently 19 Oct 2017, 11:35

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

Garcia purchased two kinds of premium coffee from Harbucks Colorado Co

  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: 41892

Kudos [?]: 128888 [0], given: 12183

Garcia purchased two kinds of premium coffee from Harbucks Colorado Co [#permalink]

Show Tags

New post 25 Sep 2017, 00:04
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

56% (02:31) correct 44% (01:53) wrong based on 59 sessions

HideShow timer Statistics

Garcia purchased two kinds of premium coffee from Harbucks Colorado Coffee Emporium. If premium coffee is only sold in one pound bags and each pound of premium mild coffee costs $2.10 and each pound of premium hearty costs $2.30, how many pounds of premium mild did Garcia buy?

(1) The total value of the coffee Garcia purchased was $17.80
(2) If Garcia had purchased 1 more pound of each type of coffee he would have spent $22.20
[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 [?]: 128888 [0], given: 12183

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1454

Kudos [?]: 594 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Garcia purchased two kinds of premium coffee from Harbucks Colorado Co [#permalink]

Show Tags

New post 25 Sep 2017, 03:00
1
This post was
BOOKMARKED
If the quantity of premium mild coffee is x and the quantity of premium hearty is y
From the question stem, the cost of the coffee is 2.1x + 2.3y

1. The total value of the coffee Garcia purchased was $17.80
2.1x + 2.3y = 17.8
y=5 is the only possibility, where x = 3(Sufficient)

2. If Garcia had purchased 1 more pound of each type of coffee he would have spent $22.20
2.1(x+1) + 2.3(y+1) = 22.20
2.1x + 2.3y = 17.8(on rewriting the equation) (Sufficient)(Option D)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

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

Kudos [?]: 594 [0], given: 16

Intern
Intern
avatar
B
Joined: 25 Jul 2013
Posts: 5

Kudos [?]: 2 [0], given: 4

Garcia purchased two kinds of premium coffee from Harbucks Colorado Co [#permalink]

Show Tags

New post 26 Sep 2017, 01:05
pushpitkc wrote:
If the quantity of premium mild coffee is x and the quantity of premium hearty is y
From the question stem, the cost of the coffee is 2.1x + 2.3y

1. The total value of the coffee Garcia purchased was $17.80
2.1x + 2.3y = 17.8
y=6 is the only possibility, where x = 0 (Sufficient)

2. If Garcia had purchased 1 more pound of each type of coffee he would have spent $22.20
2.1(x+1) + 2.3(y+1) = 22.20
2.1x + 2.3y = 17.8(on rewriting the equation) (Sufficient)(Option D)


1) 2.1x + 2.3y = 17.8 .. if y=6 and x=0 >>> 0+ 2.3 x 6 = 13.8 is not equal to 17.8. However, x=3 and y=5 can solely solve the problem>>>> 2.1 x 3 (6.3) + 2.3 x 5 ( 11.5) = 17.8

2) the same thing

Kudos [?]: 2 [0], given: 4

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1454

Kudos [?]: 594 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Garcia purchased two kinds of premium coffee from Harbucks Colorado Co [#permalink]

Show Tags

New post 26 Sep 2017, 09:46
Thanks for bringing that up tjkim88
Made the necessary change!

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

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

Kudos [?]: 594 [0], given: 16

Intern
Intern
avatar
B
Joined: 30 Aug 2017
Posts: 19

Kudos [?]: 0 [0], given: 22

CAT Tests
Re: Garcia purchased two kinds of premium coffee from Harbucks Colorado Co [#permalink]

Show Tags

New post 09 Oct 2017, 00:39
Can anyone please suggest a simpler way to solve this question? We surely can do trial and error. It will take ages! 178 is not divisible by either 21 or 23. The LCM of 21 and 23 is 483. How do we get 5 and 3?

Kudos [?]: 0 [0], given: 22

1 KUDOS received
Intern
Intern
avatar
B
Joined: 25 Jul 2013
Posts: 5

Kudos [?]: 2 [1], given: 4

Re: Garcia purchased two kinds of premium coffee from Harbucks Colorado Co [#permalink]

Show Tags

New post 09 Oct 2017, 01:23
1
This post received
KUDOS
tejas0999 wrote:
Can anyone please suggest a simpler way to solve this question? We surely can do trial and error. It will take ages! 178 is not divisible by either 21 or 23. The LCM of 21 and 23 is 483. How do we get 5 and 3?




1) total cost is 17.80. focusing on tenth decimal 0.8. 0.1(2.1)a and 0.3(2.3)a should make 0.8. therefore, we can easily to figure out either 0.1X5 + 0.3X1 or 0.3X5 + 0.1X3 (0.1(2.1) X2+0.3(2.3) X2 is too small)
1. 2.1X5 + 2.3X1 = 10.5+2.3= 12.8 (x)
2. 2.1X3 + 2.3X5 = 6.3+11.5= 17.8 (o)

Kudos [?]: 2 [1], given: 4

Expert Post
Math Forum Moderator
avatar
P
Joined: 02 Aug 2009
Posts: 4971

Kudos [?]: 5472 [0], given: 112

Re: Garcia purchased two kinds of premium coffee from Harbucks Colorado Co [#permalink]

Show Tags

New post 09 Oct 2017, 02:38
Bunuel wrote:
Garcia purchased two kinds of premium coffee from Harbucks Colorado Coffee Emporium. If premium coffee is only sold in one pound bags and each pound of premium mild coffee costs $2.10 and each pound of premium hearty costs $2.30, how many pounds of premium mild did Garcia buy?

(1) The total value of the coffee Garcia purchased was $17.80
(2) If Garcia had purchased 1 more pound of each type of coffee he would have spent $22.20



Yes, it is difficult to test numbers but there are ways to make it less calculation intensive..

Since cost of ONE pound of both is given, so A,B and C are out...

The equation we get is ...
2.1x+2.3y=17.8...........2.1x=17.8-2.3y
As 2.1 is a MULTIPLE of 3, let's make other part multiple of 3....
17.8 is 1+7+8=16 so would leave a Remainder of 1...
But 2.3 will leave a Remainder of 2 when div by 3....
So y will be 3a+2.....
a is 0, y is 2.......17.8-2.3*2=17.8-4.6=13.2, not a multiple of 2.1
a is 1, y is 5....... 17.8-2.3*5=17.8-11.5=6.3=2.1*3..
y as 8 will go beyond 17.8..
So only value y is 5..
Sufficient

D
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5472 [0], given: 112

Re: Garcia purchased two kinds of premium coffee from Harbucks Colorado Co   [#permalink] 09 Oct 2017, 02:38
Display posts from previous: Sort by

Garcia purchased two kinds of premium coffee from Harbucks Colorado Co

  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®.