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

It is currently 25 May 2015, 00:11

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

A certain smoothie A is three-fifths blueberries and 40%

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 926
Followers: 12

Kudos [?]: 456 [0], given: 543

A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 21 Dec 2012, 22:50
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (02:09) correct 33% (01:33) wrong based on 134 sessions
A certain smoothie A is three-fifths blueberries and 40% raspberries by weight. Another smoothie B is three-quarters banana and one-quarter raspberries by weight. If the mixed smoothie of A and B is 30% raspberries by weight, how much weight of this mixture belongs to smoothie A?

(A) 10%
(B) 33.33%
(C) 45%
(D) 50%
(E) 66.66%
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

1 KUDOS received
Intern
Intern
avatar
Joined: 20 Dec 2012
Posts: 19
Followers: 0

Kudos [?]: 3 [1] , given: 3

Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 22 Dec 2012, 03:25
1
This post received
KUDOS
The way I did it was by putting weights on the smoothies to reach the ammount of raspberry in the mixed smoothie.

Like this:
0.4*a+(1-a)*0.25=0.3

Where 0.4 is the percent of the raspberry in a, and 0.25 is the percent of the raspberry in b. A is the (so far) unknown ammount of smoothie A in the complete smoothie which has 0.3 percent raspberry. (1-a) is basically b, because adding the ammount of A and B makes a total of 100%(1).

By solving the equation you'll reach

0.15a=0.05
a=0.3333

I'm not sure if there's a better method, that's just the way I solved it.

I also apologize in advance if my explanation wasn't understandable. I am not used to writing math in text form yet. :)
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27472
Followers: 4312

Kudos [?]: 42240 [0], given: 5969

Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 22 Dec 2012, 03:51
Expert's post
fozzzy wrote:
A certain smoothie A is three-fifths blueberries and 40% raspberries by weight. Another smoothie B is three-quarters banana and one-quarter raspberries by weight. If the mixed smoothie of A and B is 30% raspberries by weight, how much weight of this mixture belongs to smoothie A?

(A) 10%
(B) 33.33%
(C) 45%
(D) 50%
(E) 66.66%


A is 40% raspberries;
B is 25% raspberries.
A and B is 30% raspberries;

30% raspberries in the mixed smoothie of A and B come from 40% raspberries in A and 25% raspberries in B, thus:

0.3(A+B)=0.4A+0.25B --> 0.1A=0.05B --> A/B=1/2 --> A/(A+B)=1/3.

Answer: B.
_________________

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

GMAT Club Premium Membership - big benefits and savings

Director
Director
avatar
Joined: 29 Nov 2012
Posts: 926
Followers: 12

Kudos [?]: 456 [0], given: 543

Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 22 Dec 2012, 04:05
Bunuel wrote:
fozzzy wrote:
A certain smoothie A is three-fifths blueberries and 40% raspberries by weight. Another smoothie B is three-quarters banana and one-quarter raspberries by weight. If the mixed smoothie of A and B is 30% raspberries by weight, how much weight of this mixture belongs to smoothie A?

(A) 10%
(B) 33.33%
(C) 45%
(D) 50%
(E) 66.66%


A is 40% raspberries;
B is 25% raspberries.
A and B is 30% raspberries;

30% raspberries in the mixed smoothie of A and B come from 40% raspberries in A and 25% raspberries in B, thus:

0.3(A+B)=0.4A+0.25B --> 0.1A=0.05B --> A/B=1/2 --> A/(A+B)=1/3.

Answer: B.


I understood everything except that step in red.
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27472
Followers: 4312

Kudos [?]: 42240 [1] , given: 5969

Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 22 Dec 2012, 04:13
1
This post received
KUDOS
Expert's post
fozzzy wrote:
Bunuel wrote:
fozzzy wrote:
A certain smoothie A is three-fifths blueberries and 40% raspberries by weight. Another smoothie B is three-quarters banana and one-quarter raspberries by weight. If the mixed smoothie of A and B is 30% raspberries by weight, how much weight of this mixture belongs to smoothie A?

(A) 10%
(B) 33.33%
(C) 45%
(D) 50%
(E) 66.66%


A is 40% raspberries;
B is 25% raspberries.
A and B is 30% raspberries;

30% raspberries in the mixed smoothie of A and B come from 40% raspberries in A and 25% raspberries in B, thus:

0.3(A+B)=0.4A+0.25B --> 0.1A=0.05B --> A/B=1/2 --> A/(A+B)=1/3.

Answer: B.


I understood everything except that step in red.


A/B=1/2 --> 2A=B --> A/(A+B)=A/(A+2A)=1/3.
_________________

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

GMAT Club Premium Membership - big benefits and savings

1 KUDOS received
Intern
Intern
avatar
Joined: 20 Dec 2012
Posts: 19
Followers: 0

Kudos [?]: 3 [1] , given: 3

Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 22 Dec 2012, 04:14
1
This post received
KUDOS
fozzzy wrote:
Bunuel wrote:
fozzzy wrote:
A certain smoothie A is three-fifths blueberries and 40% raspberries by weight. Another smoothie B is three-quarters banana and one-quarter raspberries by weight. If the mixed smoothie of A and B is 30% raspberries by weight, how much weight of this mixture belongs to smoothie A?

(A) 10%
(B) 33.33%
(C) 45%
(D) 50%
(E) 66.66%


A is 40% raspberries;
B is 25% raspberries.
A and B is 30% raspberries;

30% raspberries in the mixed smoothie of A and B come from 40% raspberries in A and 25% raspberries in B, thus:

0.3(A+B)=0.4A+0.25B --> 0.1A=0.05B --> A/B=1/2 --> A/(A+B)=1/3.

Answer: B.


I understood everything except that step in red.



The question was how much A is of the entire smoothie. To get there you divide A by the total batch.

A+B = total

A/(A+B) = Percentage of A in the total batch. :)
1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 22

Kudos [?]: 896 [1] , given: 193

Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 27 Jun 2013, 02:10
1
This post received
KUDOS
I solved this using alligation method as follows:

So, total = 15, contribution from A = 5; So 5/15 * 100 = 33.33 %
Answer = B
Attachments

all.JPG
all.JPG [ 28.18 KiB | Viewed 1065 times ]


_________________

Kindly press "+1 Kudos" to appreciate :)

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 4928
Followers: 297

Kudos [?]: 54 [0], given: 0

Premium Member
Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 24 Dec 2014, 05:47
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

Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 2178
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 93

Kudos [?]: 587 [0], given: 41

Re: A certain smoothie A is three-fifths blueberries and 40% [#permalink] New post 24 Dec 2014, 08:26
Expert's post
HI All,

In these sorts of scenarios, when you're not given a specific amount of the items involved (in this case, Smoothie A and Smoothie B), you can TEST VALUES and use real numbers to answer the question.

Here, we know:
Smoothie A is 40% raspberries
Smoothie B is 25% raspberries

We want to mix some of each and end up with a 30% raspberry mixture

Here's how to TEST VALUES:

Lets's say we have 10oz. of Smoothie A...
10(40%) = 4 oz. raspberries

Now, we can calculate how much Smoothie B we need by using the Weighted Average Formula:

Let's say we have Xoz. of Smoothie B...
X(25%) = .25X oz. raspberries

Rasp/All = (4+.25X)/(10+X) = .3

4+.25X = 3 + .3X
1 = .05X
20 = X

This means that we would need 20 ounces of Smoothie B to be mixed with 10 ounces of Smoothie A to end up with a 30% raspberry mix at the end. The question asks what percent of the mixture "belongs to Smoothie A"

A/All = 10/30 = 1/3 = 33.33%

Final Answer:
[Reveal] Spoiler:
B


GMAT assassins aren't born, they're made,
Rich
_________________

Rich Cohen
Rich.C@empowergmat.com
http://www.empowergmat.com

EMPOWERgmat GMAT Club Page, Study Plans, & Discounts
http://gmatclub.com/blog/courses/empowergmat-discount/?fl=menu

Image

Re: A certain smoothie A is three-fifths blueberries and 40%   [#permalink] 24 Dec 2014, 08:26
    Similar topics Author Replies Last post
Similar
Topics:
At a certain food stand, the price of each apple is 40 and Jcpenny 1 05 Nov 2008, 15:27
certain quantity of 40% solution is replaced with 25% arjtryarjtry 3 28 Jul 2008, 09:54
A hopsital pharmacy charges .40 per fluidram of a certain ggarr 2 29 Aug 2007, 16:13
The school nurse at a certain high school treated 40% of the netcaesar 5 17 Oct 2006, 01:22
40 percent of the employees at a certain company are male. nakib77 7 10 Nov 2005, 06:51
Display posts from previous: Sort by

A certain smoothie A is three-fifths blueberries and 40%

  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®.