A solution of 60 ounces of sugar and water is 20% sugar. How : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 14:59

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A solution of 60 ounces of sugar and water is 20% sugar. How

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

### Hide Tags

Intern
Joined: 26 Feb 2011
Posts: 38
Followers: 1

Kudos [?]: 96 [1] , given: 1

A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

04 Mar 2011, 10:18
1
This post received
KUDOS
5
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

77% (02:32) correct 23% (01:58) wrong based on 231 sessions

### HideShow timer Statistics

A solution of 60 ounces of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar?

A. 20 ounces
B. 80 ounces
C. 100 ounces
D. 120 ounces
E. 180 ounces
[Reveal] Spoiler: OA
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1704 [3] , given: 376

Re: sugar and water [#permalink]

### Show Tags

04 Mar 2011, 10:30
3
This post received
KUDOS
20% sugar in 60 oz solution;

Sugar = 60*20/100 = 12 oz
Water = 60-12 = 48 oz

Now; let's add "x" oz of water in the solution;

Total solution = 60+x oz
Sugar = 12 oz.(Sugar's amount will not change as we are not adding or subtracting sugar)

12 = (60+x) * 5/100
60+x = 240
x = 240 - 60 = 180 oz

Ans: "E"
_________________
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 920
Followers: 14

Kudos [?]: 341 [1] , given: 123

Re: sugar and water [#permalink]

### Show Tags

04 Mar 2011, 17:45
1
This post received
KUDOS
This is easy if you can visualize the balance.

0% sol (pure water) < 5% sol < 20% sol
So ratio
pure water : 20% sol = (20 - 5) : (5 - 0) = 3:1

water to be added = 3 * 20% sol = 3*60 = 180
Senior Manager
Joined: 15 Sep 2009
Posts: 271
GMAT 1: 750 Q V
Followers: 10

Kudos [?]: 69 [1] , given: 6

Re: sugar and water [#permalink]

### Show Tags

24 Jun 2012, 02:58
1
This post received
KUDOS
Straight E. Alligative method (as neatly performed in gmat1220's post above) precipitates (forgive the pun) the solution (another pun) to the question faster.

Quick arithmetic works too, but the important advice is to decide quickly and firmly what method you want to use. And stick with it.

Cheers,
Der alte Fritz.
_________________

+1 Kudos me - I'm half Irish, half Prussian.

Intern
Joined: 11 Jul 2012
Posts: 46
Followers: 0

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

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

25 Sep 2012, 10:44
sugar : 0.2*60 = 12
water: 0.8*60 = 48

If new solution is 5% of sugar then it is 95% water

(water + x)/ (60 + x) = 0.95
(48 + x) / (60 + x) = 0.95
x = 180

Brother Karamazov
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 25

Kudos [?]: 433 [1] , given: 11

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

25 Sep 2012, 22:40
1
This post received
KUDOS
Fast Technique. Thanks to GMATClub!
Attachments

solution mixture.jpg [ 25.61 KiB | Viewed 5075 times ]

_________________

Impossible is nothing to God.

Intern
Joined: 02 May 2011
Posts: 39
Location: Canada
Concentration: General Management, Social Entrepreneurship
GMAT 1: 630 Q45 V33
GMAT 2: 700 Q47 V40
GPA: 3.78
Followers: 1

Kudos [?]: 25 [0], given: 55

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

09 Oct 2012, 12:16
mbaiseasy wrote:
Fast Technique. Thanks to GMATClub!

I've done mixtures questions before, and maybe this is just me not getting it because my brain is all curdled up right now, so forgive me for my ignorance.

Shouldn't x = 48 oz (which is the amount of water in it)?

And therefore, 3x = 144 oz?

I too get the 1:3 ratio. But maybe I'm missing something here.

Please help.
Senior Manager
Joined: 15 Sep 2009
Posts: 271
GMAT 1: 750 Q V
Followers: 10

Kudos [?]: 69 [1] , given: 6

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

09 Oct 2012, 14:09
1
This post received
KUDOS
No sir. Everything in the above diagram is set up in terms of Total weights of solutions (water + sugar) and not the weight of water alone. The individual weights of sugar or sugar are implied in the percentage concentrations (5%, 0%, and 20%). Therefore x= Total weight of 20%
solution = 60 oz. Not 48 oz., which represents the weight of water alone in the 20% solution
dpvtank wrote:
mbaiseasy wrote:
Fast Technique. Thanks to GMATClub!

I've done mixtures questions before, and maybe this is just me not getting it because my brain is all curdled up right now, so forgive me for my ignorance.

Shouldn't x = 48 oz (which is the amount of water in it)?

And therefore, 3x = 144 oz?

I too get the 1:3 ratio. But maybe I'm missing something here.

Please help.

_________________

+1 Kudos me - I'm half Irish, half Prussian.

Intern
Joined: 02 May 2011
Posts: 39
Location: Canada
Concentration: General Management, Social Entrepreneurship
GMAT 1: 630 Q45 V33
GMAT 2: 700 Q47 V40
GPA: 3.78
Followers: 1

Kudos [?]: 25 [0], given: 55

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

09 Oct 2012, 14:41
OldFritz wrote:
No sir. Everything in the above diagram is set up in terms of Total weights of solutions (water + sugar) and not the weight of water alone. The individual weights of sugar or sugar are implied in the percentage concentrations (5%, 0%, and 20%). Therefore x= Total weight of 20%
solution = 60 oz. Not 48 oz., which represents the weight of water alone in the 20% solution

Of course! How silly of me. Thank you good sir.
Manager
Joined: 23 Jan 2013
Posts: 174
Concentration: Technology, Other
Schools: Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
Followers: 3

Kudos [?]: 44 [0], given: 41

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

09 Apr 2013, 06:25
Amount of sugar remains the same throught so

(20/100)*60 = (x*5/100)0

Water to be added = x - 60
= 240 - 60
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13438
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

09 Oct 2014, 16:12
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.
_________________
Senior Manager
Status: Exam scheduled!!
Joined: 05 Sep 2016
Posts: 411
Location: United States (WI)
Concentration: Marketing, Technology
WE: Other (Law)
Followers: 3

Kudos [?]: 13 [0], given: 241

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

25 Sep 2016, 05:22
Solve in terms of H20

0.80(60) + x = 0.95(60+x)
48 + x = 57 + 0.95x
0.05x = 9 --> x = 180
Intern
Joined: 20 Sep 2016
Posts: 7
Followers: 1

Kudos [?]: 7 [0], given: 15

Re: A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

25 Sep 2016, 07:25
Since amount of sugar does not change:
12 = 0.05(60+x)
-> x= 180
Senior Manager
Joined: 07 Dec 2014
Posts: 491
Followers: 3

Kudos [?]: 81 [0], given: 2

A solution of 60 ounces of sugar and water is 20% sugar. How [#permalink]

### Show Tags

25 Sep 2016, 09:45
A solution of 60 ounces of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar?

A. 20 ounces
B. 80 ounces
C. 100 ounces
D. 120 ounces
E. 180 ounces

let w=water to be added
.8*60+w=.95(60+w)
w=180 ounces
E.
A solution of 60 ounces of sugar and water is 20% sugar. How   [#permalink] 25 Sep 2016, 09:45
Similar topics Replies Last post
Similar
Topics:
3 A solution of X pounds of water and sugar is boiled until 20% of the 7 26 Jul 2016, 18:14
7 Solution Y is 40 percent sugar by volume, and solution X is 20 percent 7 28 Sep 2014, 04:01
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 2 08 Jan 2013, 12:08
6 How many ounces of a 60% salt solution must be added to 50 6 16 Dec 2012, 23:03
7 One fourth of a solution that was 10 percent sugar by weight 7 21 Dec 2009, 05:17
Display posts from previous: Sort by

# A solution of 60 ounces of sugar and water is 20% sugar. How

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

 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®.