BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
Vote for Target Test Prep, Newsweek Readers’ Choice Awards 2026
NEWSWEEK READERS’ CHOICE 2026

BIG NEWS! Target Test Prep has been nominated, and they’d love your vote!

TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

Vote for TTP
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Mixtures

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 966
Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members
Thanked: 230 times
by shankar.ashwin » Mon Sep 19, 2011 10:17 am
The concentration of alcohol in two wine tanks is 20% and 40% respectively and the rest is grape juice. If a wine glass is filled to its half by both tank 1 and 2 in the ratio 2:3 and the rest is filled again by pure alcohol, then what is the ratio of the grape juice to alcohol in the wine glass?

A) 17:16
B) 16:33
C) 17:50
D) 17:33
E) 17:34
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members
Location: India
Thanked: 310 times
GMAT Score:750

by cans » Mon Sep 19, 2011 10:38 am
A: 20% alcohol and 80% juice
B: 40% alcohol and 60% juice.
1/2 -> pure alcohol
(2/5)(1/2)*80% juice = 4/25
+ (3/5)(1/2)*60% juice = 9/50
Thus juice = 8/50 + 9/50 = 17/50.
alcohol = 1 - 17/50 = 33/50
ratio: 17:33
IMO D
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 158
Joined: Sat Sep 03, 2011 10:31 amFollowed by: 2 members
Thanked: 29 times

by gmatclubmember » Mon Sep 19, 2011 10:40 am
The first solution is 20:80 and second one is 40:60.
When you take the solution in the ration of 2:3 then in half glass of wine you get the alcohol and grape in the ratio of 16:34.
When you fill up the glass you are adding 50 units of alcohol which means in the new solution the ration will be 66:34 = 33:17.

Cheers
Ami/-
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 504
Joined: Tue Apr 19, 2011 1:40 pmFollowed by: 11 members
Thanked: 114 times

by knight247 » Mon Sep 19, 2011 10:49 am
The answer is D

Wine A contains 1/5 alcohol and 4/5 grape juice
Wine B contains 2/5 alcohol and 3/5 grape juice

(I've skipped the conversion of percents into fractions...If you need me to elaborate on those steps then plz lemme know)

Wine A:Wine B is 2:3
Let x be the common factor. So the actual quantity of A is 2x and that of B is 3x

A=2x can be broken up into 2x(1/5)=2x/5 alcohol and 8x/5 grape juice
B=3x can be broken up into 3x(2/5)=6x/5 alcohol and 3x(3/5)=9x/5 grape juice

Total alcohol content in the new mixture is (2x/5)+(6x/5)=8x/5
Total grape juice content in the new mixture is (8x/5)+(9x/5)=17x/5

The ratio of grape juice to alcohol is 17x/5:8x/5=17:8

The proportion of grape juice is 17/25
The proportion of alcohol is 8/25

If the glass is 200 litres then only half i.e. 100 litres will be filled with the above mixture
17(100)/25=68 Litres will be grape juice and 8(100)/25=32 Litres will be alcohol.

But this is only half the glass. The remaining 100 litres will be completely filled only with alcohol. So the total grape content remains 68 Litres but the quantity of alcohol will be 132 Litres

Ratio of Grape Juice : Alcohol = 68/132 = 17/33 Hence D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 279
Joined: Fri Nov 05, 2010 5:43 pmFollowed by: 1 member
Thanked: 15 times

by mehrasa » Mon Sep 19, 2011 12:07 pm
cans wrote:A: 20% alcohol and 80% juice
B: 40% alcohol and 60% juice.
1/2 -> pure alcohol
(2/5)(1/2)*80% juice = 4/25
+ (3/5)(1/2)*60% juice = 9/50 why here you choose to multiply the percentage of juice but if we multiply the percentage of alcohol, all the numbers will change
thus juice = 8/50 + 9/50 = 17/50.
alcohol = 1 - 17/50 = 33/50
ratio: 17:33
IMO D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Mon Sep 19, 2011 1:23 pm
shankar.ashwin wrote:The concentration of alcohol in two wine tanks is 20% and 40% respectively and the rest is grape juice. If a wine glass is filled to its half by both tank 1 and 2 in the ratio 2:3 and the rest is filled again by pure alcohol, then what is the ratio of the grape juice to alcohol in the wine glass?

A) 17:16
B) 16:33
C) 17:50
D) 17:33
E) 17:34
Composition in the wine glass:
Let the amount from tank 1 = 20 units and the amount from tank 2 = 30 units.
Alcohol from tank 1 = .2(20) = 4 units.
Alcohol from tank 2 = .4(30) = 12 units.
Since 20+30 = 50 units, and this amount represents 1/2 the wine glass, the whole wine glass = 100 units.
Alcohol in the rest of the glass = 50 units.
Total alcohol = 4+12+50 = 66.
Thus, total grape juice = 100-66 = 34.
Grape juice:alcohol = 34:66 = 17:33.

The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1