Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 08:58

### 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

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

# One fourth of a solution that was 10 percent sugar by weight

Author Message
TAGS:

### Hide Tags

Manager
Joined: 13 Aug 2009
Posts: 148
WE 1: 4 years in IT
Followers: 1

Kudos [?]: 270 [1] , given: 7

One fourth of a solution that was 10 percent sugar by weight [#permalink]

### Show Tags

21 Dec 2009, 06:17
1
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

69% (02:42) correct 31% (02:06) wrong based on 169 sessions

### HideShow timer Statistics

One fourth of a solution that was 10 percent sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight ?

A. 34%
B. 24%
C. 22%
D. 18%
E. 8.5%
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Jun 2012, 07:13, edited 1 time in total.
Edited the question and added the OA
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4512
Followers: 394

Kudos [?]: 4191 [0], given: 109

### Show Tags

21 Dec 2009, 07:00
EQ can be written as ...
let sol be s... so (3/4)s*(.1)+(1/4)s*t=s*(.16).... we get t(% of sugar in 2nd sol)=34%
_________________

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

Manager
Joined: 25 Aug 2009
Posts: 169
Location: Streamwood IL
Schools: Kellogg(Evening),Booth (Evening)
WE 1: 5 Years
Followers: 12

Kudos [?]: 185 [2] , given: 3

### Show Tags

21 Dec 2009, 13:41
2
KUDOS
Let the original solution be 100ml
1/4 of this solution is removed
sugar remaining = 7.5 ML
25 ml of x% solution is added.
New volume of sugar = 7.5+25*x/100
Since resulting solution is 16% sugar by weight, volume of sugar = 16ml

equating the 2

x=(16-7.5)*4
=34

A
_________________

Rock On

Manager
Joined: 23 Nov 2009
Posts: 52
Followers: 1

Kudos [?]: 12 [1] , given: 1

### Show Tags

21 Dec 2009, 17:52
1
KUDOS

Simply,
.75*.1+.25*y = .16
Solving for y would give the value 34%

Explanation:
.75% is still 10% solution
.25% is the y% solution

16% solution is 100%
_________________

A kudos would greatly help

Tuhin

Manager
Joined: 17 Dec 2009
Posts: 52
Followers: 0

Kudos [?]: 17 [0], given: 4

### Show Tags

22 Dec 2009, 06:59
3/4 * 10 + 1/4 * x = 16
x = 16*4 - (30/4)*4
x = 64 - 30
x = 34

Manager
Joined: 02 Oct 2009
Posts: 193
Followers: 1

Kudos [?]: 20 [0], given: 4

### Show Tags

22 Dec 2009, 13:57
A

Like ludwigfraboulet simpler approach.
Manager
Joined: 28 Jul 2011
Posts: 238
Followers: 4

Kudos [?]: 131 [0], given: 16

### Show Tags

01 Jun 2012, 21:26
A

Total solution : 16 Liters

Initial Solution (V1) : 12 Liters
Concentration of Sugar (C1) = 10%

1/4 replaced with new solution (V2)= 4 liters
Concentration of Sugar (C2) = x% = ?

Final Solution (Vf): 16 Liters
Concentration of Sugar (Cf) = 16%

v1/v2 = (C2 - cf
) / (cf-c1)

12/4 = (x-16) / (16-10)

18 = (x-16)
34 = x
Director
Joined: 07 Dec 2014
Posts: 668
Followers: 3

Kudos [?]: 137 [0], given: 3

One fourth of a solution that was 10 percent sugar by weight [#permalink]

### Show Tags

02 Oct 2015, 16:51
let x=sugar % of solution 2
.1-.1/4+x/4=.16
x=.34=34%
One fourth of a solution that was 10 percent sugar by weight   [#permalink] 02 Oct 2015, 16:51
Similar topics Replies Last post
Similar
Topics:
25 Solution X is 10 percent alcohol by volume, and solution Y is 30 perce 11 02 Oct 2016, 01:00
10 Solution Y is 40 percent sugar by volume, and solution X is 20 percent 7 06 Jan 2017, 08:18
69 One-fourth of a solution that was 10% by weight was replaced 26 17 Mar 2017, 03:38
11 Cereal A is 10% sugar by weight, whereas healthier but less delicious 11 18 Aug 2016, 05:50
20 Krisp cereal is 10% sugar by weight. Brano cereal is 2% su 10 30 Jul 2016, 20:58
Display posts from previous: Sort by