GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Sep 2018, 23:42

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

A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5

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

Hide Tags

Manager
Manager
avatar
Joined: 04 Jan 2013
Posts: 75
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5  [#permalink]

Show Tags

New post Updated on: 09 Jan 2013, 03:19
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (00:56) correct 9% (02:00) wrong based on 159 sessions

HideShow timer Statistics

A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 liters of water is added, approximately what is the % of the new mixture of sugar?

A. 40%
B. 50%
C. 63%
D. 64%
E. 68

Posted from my mobile device

Originally posted by chiccufrazer1 on 08 Jan 2013, 13:08.
Last edited by Bunuel on 09 Jan 2013, 03:19, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Manager
avatar
Joined: 18 Oct 2011
Posts: 87
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Re: A 7.5 litre mixture of water and sugar is 60%sugar.if 1.5 li  [#permalink]

Show Tags

New post 08 Jan 2013, 13:23
multiply 7.5 by 10...so 75 Liters of solution which is 30 L Water and 45L Sugar

If you add 1.5x10 (15 L) of water the overall solution will contain 90L. Of that 90L 45L is water and 45 L is sugar.

Answer: B
Manager
Manager
avatar
Joined: 04 Jan 2013
Posts: 75
Re: A 7.5 litre mixture of water and sugar is 60%sugar.if 1.5 li  [#permalink]

Show Tags

New post 08 Jan 2013, 13:32
Ya sambam ofcos the official answer is B.50 percent but am not satisified with how i got it..this is how i did it.if 7.5 =60% therefore 1.5 would equal 12.i decided to represent 1.5 as 1 part of water and hence in 7.5 i had 5 parts of water..the addition of water will made the new mixture to have 6 parts of water and a less percentage of sugar when i added 1.5 litres.. I said to myself that if 5 parts of water represent 60percent sugar then 6 parts will have to represent a small percentage of sugar i.e (5*60/6)%..thanks for making it clear to me!:-)

Posted from my mobile device
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 2864
Location: Canada
Re: A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5  [#permalink]

Show Tags

New post 29 Dec 2017, 13:49
Top Contributor
chiccufrazer1 wrote:
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 liters of water is added, approximately what is the % of the new mixture of sugar?

A. 40%
B. 50%
C. 63%
D. 64%
E. 68


ASIDE: We can eliminate C, D and E immediately (without performing any calculations).
Here's why: If we begin with a mixture that's 60% sugar and then we dilute it by adding water, the resulting mixture will have less than 60% sugar. So, eliminate C, D and E.

Okay, on to the solution.

7.5 liter mixture of water and sugar is 60% sugar.
60% of 7.5 liters is sugar
60% of 7.5 = 4.5, so the 4.5 mixture has 4.5 liters of sugar

1.5 liters of water is added
So, the volume of the new mixture is 9 liters.
Since no sugar was added, the volume of the sugar is still 4.5 liters

(4.5)/9 = 1/2 = 50%
So, the new mixture is [spoiler]50% sugar[/spoiler].
Answer: B


Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1978
Premium Member CAT Tests
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5  [#permalink]

Show Tags

New post 29 Dec 2017, 16:31
chiccufrazer1 wrote:
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 liters of water is added, approximately what is the % of the new mixture of sugar?

A. 40%
B. 50%
C. 63%
D. 64%
E. 68
If you are used to weighted averages. . .

Water has 0.0 percent sugar, but it is being added

\(.6(7.5) + 0.0(1.5) = \frac{x}{100}(7.5 + 1.5)\)
Both sides * 100:
\(6(75) = 9x\)
\(450 = 9x\)
\(x = 50\) percent

Answer B
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1994
Re: A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5  [#permalink]

Show Tags

New post 31 Dec 2017, 11:31
chiccufrazer1 wrote:
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 liters of water is added, approximately what is the % of the new mixture of sugar?

A. 40%
B. 50%
C. 63%
D. 64%
E. 68

Posted from my mobile device


Initial ratio of Water and Sugar \(= 40: 60 = 2: 3\)

Thus, the amount of water \(= \frac{2}{(2+3)} * 7.5 = 3\) liters and the amount of sugar \(= \frac{3}{(2+3)} * 7.5 = 4.5\) liters

Water added \(= 1.5\) liters

Thus, total amount of water and sugar mixture \(= 7.5 + 1.5 = 9\) liters

Percentage of sugar \(= \frac{4.5}{9} = 50\) liters

Correct Answer: Option B


Regards,
Saquib
e-GMAT
Quant Expert
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 &nbs [#permalink] 31 Dec 2017, 11:31
Display posts from previous: Sort by

A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.