NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 12:34 It is currently 23 Apr 2024, 12:34
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
chiccufrazer1
Manager
Manager
Joined: 04 Jan 2013
Posts: 65
Own Kudos [?]: 57 [2]
Given Kudos: 1
Send PM
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 [#permalink] New post   Updated on: 09 Jan 2013, 03:19
1
Bookmarks
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

92% (01:28) correct 9% (02:02) wrong based on 200 sessions
Hide Show 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
ShowHide Answer
Official Answer
B

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.
User avatar
sambam
Manager
Manager
Joined: 18 Oct 2011
Posts: 58
Own Kudos [?]: 353 [1]
Given Kudos: 0
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Send PM
Re: A 7.5 litre mixture of water and sugar is 60%sugar.if 1.5 li [#permalink] New post   08 Jan 2013, 13:23
1
Kudos
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
User avatar
chiccufrazer1
Manager
Manager
Joined: 04 Jan 2013
Posts: 65
Own Kudos [?]: 57 [0]
Given Kudos: 1
Send PM
Re: A 7.5 litre mixture of water and sugar is 60%sugar.if 1.5 li [#permalink] 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
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29890 [2]
Given Kudos: 799
Location: Canada
Send PM
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 [#permalink] New post   Updated on: 22 Jun 2022, 07:14
2
Kudos
Expert Reply
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 50% sugar.

Answer: B


Cheers,
Brent

Originally posted by BrentGMATPrepNow on 29 Dec 2017, 13:49.
Last edited by BrentGMATPrepNow on 22 Jun 2022, 07:14, edited 2 times in total.
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35483 [2]
Given Kudos: 9464
Send PM
CAT Tests
A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 [#permalink] New post   29 Dec 2017, 16:31
1
Kudos
1
Bookmarks
Expert Reply
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
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16830 [0]
Given Kudos: 165
Send PM
Re: A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 [#permalink] New post   31 Dec 2017, 11:31
Expert Reply
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
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32626
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 [#permalink] New post   15 Feb 2022, 08:01
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.
GMAT Club Bot
gmatclubot
Re: A 7.5 liter mixture of water and sugar is 60% sugar. If 1.5 [#permalink]
15 Feb 2022, 08:01
Moderators:
Bunuel
Math Expert
92881 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions