It is currently 17 Dec 2017, 13:53

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

Events & Promotions in June
Open Detailed Calendar

Darla decides to mix lemonade with limeade to make a new drink

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

Hide Tags

1 KUDOS received
Intern
Intern
avatar
B
Joined: 17 Nov 2013
Posts: 22

Kudos [?]: 36 [1], given: 1

Reviews Badge CAT Tests
Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 17 Jan 2016, 11:39
1
This post received
KUDOS
17
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

57% (01:53) correct 43% (02:35) wrong based on 246 sessions

HideShow timer Statistics

Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4
[Reveal] Spoiler: OA

Kudos [?]: 36 [1], given: 1

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135978 [3], given: 12719

Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 17 Jan 2016, 11:55
3
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
harish1986 wrote:
Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4


The lemonade is 50% water and 20% sugar.
The limeade is 40% water and 32% sugar.
The citrusade is more than 45% water and more than 24% sugar.

For the citrusade to be 45% water, the ratio of lemonade to limeade must 1:1. Since the citrusade is more than 45% water (the average of 50 and 40), then the ratio of lemonade to limeade must be more than 1:1. Eliminate D and E.

For the citrusade to be 24% sugar, the ratio of lemonade to limeade must 2:1. Since the citrusade is more than 24% water, then the ratio of lemonade to limeade must be less than 2:1. Eliminate A and B.

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 [?]: 135978 [3], given: 12719

Expert Post
1 KUDOS received
Manager
Manager
User avatar
G
Joined: 24 Nov 2014
Posts: 178

Kudos [?]: 241 [1], given: 21

GMAT 1: 800 Q51 V51
Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 04 Apr 2016, 18:33
1
This post received
KUDOS
Expert's post
harish1986 wrote:
Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4


You can use allegation.

To use allegation you relate the weighted averages of percentages of the ingredients to the ratio of the parts of the mixture.

For example if you use a 1:1 ratio of the two parts of the mixture, then the weighted average of the percentages of the ingredients will be the mean of the percentages found in the two parts. in other words, in a 1:1 mixture the weighted average of the percentages will be exactly halfway between the percentages found in each of the ingredients.

The mixture is to contain more than 45% water.

45% is the mean of the percentages of water found in the two parts, lemonade, which contains 50% water, and limeade, which contains 40% water. So a mixture containing a 1:1 ratio of lemonade to limeade would contain 45% water.

Since the mixture is to contain more than 45% water, it must contain more lemonade than limeade.

Eliminate answer choices D and E.

The mixture is also to contain more than 24% sugar. 24% is 1/3 of the way from 20%, the proportion of sugar in lemonade, to 32%, the proportion of sugar in limeade. So to get a sugar percentage greater than 24%, we need the mixture to be more than 1/3 limeade.

A indicates that limeade is 1/4 of the mixture. 1/4 < 1/3. Eliminate A.

B indicates that limeade is 3/10 of the mixture. 3/10 < 1/3. Eliminate B.

C indicates that limeade is 2/5 of the mixture. 2/5 > 1/3.

The correct answer is
[Reveal] Spoiler:
C
.
_________________

Marty Murray
GMAT Coach
m.w.murray@hotmail.com
http://infinitemindprep.com

Kudos [?]: 241 [1], given: 21

4 KUDOS received
Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 862

Kudos [?]: 297 [4], given: 17

Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 17 Jul 2016, 10:41
4
This post received
KUDOS
2
This post was
BOOKMARKED
let x=lemonade
y=limeade
water:
.5x+.4y>.45(x+y)
x>y
sugar:
.2x+.32y>.24(x+y)
x<2y
plugging in x>y and x<2y, only answer c fits
3:2

Kudos [?]: 297 [4], given: 17

Intern
Intern
avatar
B
Joined: 13 Sep 2015
Posts: 20

Kudos [?]: [0], given: 256

Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 22 Aug 2016, 00:54
Bunuel wrote:
harish1986 wrote:
Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4


The lemonade is 50% water and 20% sugar.
The limeade is 40% water and 32% sugar.
The citrusade is more than 45% water and more than 24% sugar.

For the citrusade to be 45% water, the ratio of lemonade to limeade must 1:1. Since the citrusade is more than 45% water (the average of 50 and 40), then the ratio of lemonade to limeade must be more than 1:1. Eliminate D and E.

For the citrusade to be 24% sugar, the ratio of lemonade to limeade must 2:1. Since the citrusade is more than 24% water, then the ratio of lemonade to limeade must be less than 2:1. Eliminate A and B.

Answer: C.


Bunuel can you please explain this further

Kudos [?]: [0], given: 256

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135978 [0], given: 12719

Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 22 Aug 2016, 01:19
deeksha6 wrote:
Bunuel wrote:
harish1986 wrote:
Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4


The lemonade is 50% water and 20% sugar.
The limeade is 40% water and 32% sugar.
The citrusade is more than 45% water and more than 24% sugar.

For the citrusade to be 45% water, the ratio of lemonade to limeade must 1:1. Since the citrusade is more than 45% water (the average of 50 and 40), then the ratio of lemonade to limeade must be more than 1:1. Eliminate D and E.

For the citrusade to be 24% sugar, the ratio of lemonade to limeade must 2:1. Since the citrusade is more than 24% water, then the ratio of lemonade to limeade must be less than 2:1. Eliminate A and B.

Answer: C.


Bunuel can you please explain this further


Can you please be a little bit more specific? Thank you.
_________________

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 [?]: 135978 [0], given: 12719

Intern
Intern
avatar
B
Joined: 13 Sep 2015
Posts: 20

Kudos [?]: [0], given: 256

Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 23 Aug 2016, 00:57
Apologies! I figured out where I was going wrong

Kudos [?]: [0], given: 256

1 KUDOS received
Director
Director
User avatar
P
Joined: 13 Mar 2017
Posts: 560

Kudos [?]: 140 [1], given: 64

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 09 Aug 2017, 06:43
1
This post received
KUDOS
harish1986 wrote:
Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4


Let Lemonade be LE, Limeade be LI and Citrusade be CI.
So, it can be represented as below.

Water Juice Sugar
LE 50% 30% 20%
LI 40% 28% 32%
CI >45% .... >24%

Now we will use mixture formula.

Let LE/LI be x/y in the mixture CI.
x/y > (45-40)/(50-45). since >45 means skewed towards 50% i.e. LE
x/y >1

Similarly,

x/y <(32-24)/(24-20). Since >24 is skewed towards 32% i.e. LI
x/y <2

So, 1<x/y<2

Only C option satisfies this condition.
_________________

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

Kudos [?]: 140 [1], given: 64

Senior Manager
Senior Manager
avatar
S
Joined: 15 Jan 2017
Posts: 346

Kudos [?]: 5 [0], given: 780

CAT Tests
Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 20 Aug 2017, 02:41
I used method of elimination and weighted averages (sort of):
Darla decides to mix lemonade with limeade to make a new drink called citrusade. The lemonade is 50% water, 30% lemon juice, and 20% sugar. The limeade is 40% water, 28% lime juice, and 32% sugar. If the citrusade is more than 45% water and more than 24% sugar, which of the following could be the ratio of lemonade to limeade?

(A) 3 : 1
(B) 7 : 3
(C) 3 : 2
(D) 4 : 5
(E) 3 : 4

I took a case : 46% water and 25% sugar (as per condition above) --> this would mean more water is overall contributed by lemonade and sugar would be more contributed by limeade. (more than 25% sugar) --> but the water content isn't overwhelmingly high (almost like 46% water, 25% sugar and rest juice = 1/2 water, 1/4th sugar rest juice) --> eliminate A and B
D and E state the opposite --> meaning water content would lower (in comparison to sugar -- sugar content at an average would increase)
This leaves us C which can result in 46% water and 25% sugar

Kudos [?]: 5 [0], given: 780

Manager
Manager
avatar
B
Joined: 13 Apr 2017
Posts: 86

Kudos [?]: 12 [0], given: 30

Location: India
Concentration: General Management, International Business
GMAT 1: 660 Q40 V41
GPA: 3.4
WE: Engineering (Energy and Utilities)
Re: Darla decides to mix lemonade with limeade to make a new drink [#permalink]

Show Tags

New post 20 Aug 2017, 06:41
Using allegation :

Let conc. of water in citrusade be 46%
40.........46.........50
W(lemonade)/W(limeade) = 4/6 = 2/3

Ans. : c

Kudos [?]: 12 [0], given: 30

Re: Darla decides to mix lemonade with limeade to make a new drink   [#permalink] 20 Aug 2017, 06:41
Display posts from previous: Sort by

Darla decides to mix lemonade with limeade to make a new drink

  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®.