Jul 26 08:00 AM PDT  09:00 AM PDT The Competition Continues  Game of Timers is a teambased competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th Jul 27 07:00 AM PDT  09:00 AM PDT Learn reading strategies that can help even nonvoracious reader to master GMAT RC Jul 28 07:00 PM EDT  08:00 PM EDT Strategies and techniques for approaching featured GMAT topics. Sunday, July 28th at 7 PM EDT
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 18 Nov 2013
Posts: 46

Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
17 Jan 2016, 12:39
Question Stats:
59% (02:47) correct 41% (03:09) wrong based on 392 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
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 56357

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
17 Jan 2016, 12:55
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.
_________________




VP
Joined: 07 Dec 2014
Posts: 1211

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
17 Jul 2016, 11:41
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




Target Test Prep Representative
Status: Chief Curriculum and Content Architect
Affiliations: Target Test Prep
Joined: 24 Nov 2014
Posts: 556

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
04 Apr 2016, 19:33
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 .
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Intern
Joined: 13 Sep 2015
Posts: 14

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
22 Aug 2016, 01:54
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



Math Expert
Joined: 02 Sep 2009
Posts: 56357

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
22 Aug 2016, 02:19
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.
_________________



Intern
Joined: 13 Sep 2015
Posts: 14

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
23 Aug 2016, 01:57
Apologies! I figured out where I was going wrong



Director
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 731
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
09 Aug 2017, 07:43
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 > (4540)/(5045). since >45 means skewed towards 50% i.e. LE x/y >1 Similarly, x/y <(3224)/(2420). Since >24 is skewed towards 32% i.e. LI x/y <2 So, 1<x/y<2 Only C option satisfies this condition.
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store. MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".



Senior Manager
Joined: 15 Jan 2017
Posts: 348

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
20 Aug 2017, 03:41
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



Manager
Joined: 13 Apr 2017
Posts: 82
Location: India
Concentration: General Management, International Business
GPA: 3.4
WE: Engineering (Energy and Utilities)

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
20 Aug 2017, 07:41
Using allegation :
Let conc. of water in citrusade be 46% 40.........46.........50 W(lemonade)/W(limeade) = 4/6 = 2/3
Ans. : c



Intern
Joined: 05 Jun 2015
Posts: 3

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
11 Oct 2018, 22:52
Let, L for lemonade, l for limeade, C for citrusade Given ratios for water, lemon juice, and sugar L = 50 30 20 l = 40 28 32 C = >45 __ >24
Weighted Average formulae = W1/W2 = (A2  Aavg) / (Aavg  A1)
Since water in Citrusade is >45, let us consider 46
Hence, L/l = (50  46) / (46  40) L/l = 4 / 6 = 2 / 3
Option C



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9453
Location: Pune, India

Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
Show Tags
12 Oct 2018, 00:08
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 Lemonade: 50% water, 20% sugar, 30% lemon juice Limeade: 40% water, 32% sugar, 28% lime juice Citrusade: >45% water (implies lemonade is more than 1/2. Options (D) and (E) are out) > 24% sugar If sugar were exactly 24%, ratio of lemonade/limeade = (32  24)/(24  20) = 8:4 = 2:1 i.e. lemonade would be 2/3rd of total. But since sugar is more than 24%, lemonade is less than 2/3. Check for option (C) which has more than 50% lemonade but the least of the leftover 3 options. Option (C) has 3/5 = 9/15 lemonade. This is less than 2/3 i.e. 10/15. Answer (C)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >




Re: Darla decides to mix lemonade with limeade to make a new drink
[#permalink]
12 Oct 2018, 00:08






