Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
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.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
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 Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart 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

Ducks and Penguins

Expert replies
by rahulvsd » Sat Nov 05, 2011 5:42 am
Two expedition groups, the Ducks and the Penguins, were each delivered x kilograms of supplies. When the members actually showed up, it turned out that there were four fewer people in the Ducks contingent. The Ducks gave y kilograms of their supplies to the Penguins, so that each group would have the same weight of supplies per person. With 20 people in the total expedition, what percent of the Ducks initial allocation was transferred?
A 10%
B 12%
C 15%
D 18%
E 20%

[spoiler]OA: E. My doubt is in the wording of the question. What do you mean four fewer people in the ducks contingent. Is it four less than penguins or four less than the initial number of people part of the duck group.[/spoiler]
Join the discussion
Source: — Problem Solving |

by rijul007 » Sat Nov 05, 2011 6:03 am
When the members actually showed up, it turned out that there were four fewer people in the Ducks contingent
If no of members in duck was a
No of members in penguins = a+4
With 20 people in the total expedition
a+a+4 = 20
a = 8
The Ducks gave y kilograms of their supplies to the Penguins, so that each group would have the same weight of supplies per person
(x-y)/8 = (x+y)/12
solve and we get
x = 5y

Percent of the ducks initial allocation that was transferred = (y/5y) * 100 = 20 %

Option E
Join the discussion

by GmatMathPro » Sat Nov 05, 2011 6:39 am
rahulvsd wrote: My doubt is in the wording of the question. What do you mean four fewer people in the ducks contingent. Is it four less than penguins or four less than the initial number of people part of the duck group.
It means the ducks have four fewer people than the penguins. If you assume it means four fewer than were expected for the ducks, you can't solve the problem. For example, it could be that they expected 14 ducks and 10 penguins, but only 10 ducks and 10 penguins showed up, in which case y=0, and the answer would be 0%. Or it could be that they expected 19 penguins and 5 ducks, but 19 penguins and 1 duck showed up in which case the answer would be 90%
Pete Ackley
GMAT Math Pro
Free Online Tutoring Trial
Join the discussion

by user123321 » Sat Nov 05, 2011 8:14 am
since from question...
Two expedition groups, the Ducks and the Penguins, were each delivered x kilograms of supplies.
and also
The Ducks gave y kilograms of their supplies to the Penguins, so that each group would have the same weight of supplies per person.
the number of people in both contigents should be same before they showed up.

so in one group it should be 8 and in another it should be 12.
let x is given initially to each group then each should get x/12 of supplies.
since 4 people didnt showed up, the remaining 4x/12 of supplies should be distributed to all 20.
so each will get and extra of 4x/(20*12) = x/60
the 8 member group should use 8*x/60 and give remaining 12*x/60 to other group
=> amount given to other group by/initial amount = 12*x/(60*x) = 0.2 = 20%

user123321
Just started my preparation :D
Want to do it right the first time.
Join the discussion