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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Powerprep question

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 18
Joined: Fri Apr 03, 2009 3:33 pm
by bronzie35 » Thu Apr 09, 2009 11:17 am
Hello, I'm having trouble with this question and appreciate explanations to solve.

Drum X is 1/2 full of oil and drum Y, which is twice the capacity of drum X, is 2/3 full of oil. If all the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?

Answer is 11/12.

Thanks for your help.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 47
Joined: Mon Oct 02, 2006 4:19 am
Thanked: 3 times

by fltingley » Thu Apr 09, 2009 11:32 am
Two ways to do this:

1) Assign quantities to the barrels and solve from there. Looking at the denominators, let the capacity of x = 6, so at half-full there are 3 units of oil in x. Y has twice the capacity of x, so y's capacity = 12, and 2/3 of 12 is 8, so there are 8 units of oil in y. 3 units in x + 8 units in y = 11 units in a 12 unit drum, so 11/12.

2) Algebraically: (Capacity of X * Level of X) + (Capacity of Y * Level of Y) = (1/2)(1/2) + (1)(2/3) = 1/4 + 2/3 = 11/12

Working through the second way, I think you fell into the trap of trying to set up your algebraical equation as (1/2) + (2)(2/3), right?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 21
Joined: Thu Apr 05, 2007 4:58 am
Thanked: 2 times
GMAT Score:600

Drum X - Drum Y

by Bhattu » Sat Apr 11, 2009 12:21 am
Take Drum X as 150 litres, Drum Y as 300 litres

Drum X has 75 litres (1/2 full), Drum Y has 200 litres (2/3 full)

Pour 75 litres into the 300 litre drum - you get 200+75 = 275 litres

275/300 -> Divide by 5

= 11/12
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 18
Joined: Fri Apr 03, 2009 3:33 pm

by bronzie35 » Sat Apr 11, 2009 9:29 pm
OMG! Duh! I can't believe I couldn't figure this out! Thank you!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Wed Dec 08, 2010 9:01 pm

by tcarter100 » Sun Jan 30, 2011 8:04 pm
Bhattu wrote:Take Drum X as 150 litres, Drum Y as 300 litres

Drum X has 75 litres (1/2 full), Drum Y has 200 litres (2/3 full)

Pour 75 litres into the 300 litre drum - you get 200+75 = 275 litres

275/300 -> Divide by 5

= 11/12
Ingenious!!!!!!!!!!!!!!!!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1