NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 21:19 It is currently 24 Apr 2024, 21:19
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

Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rac

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618840 [3]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rac [#permalink] New post   22 Oct 2020, 11:50
1
Kudos
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

74% (02:19) correct 26% (02:21) wrong based on 74 sessions
Hide Show timer Statistics
Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rachel ate 1/2 of the remaining cookies. If 1/6 of the cookies are left in the jar, what fraction of the cookies was eaten by Suzy?

A. 1/9
B. 1/6
C. 1/3
D. 1/2
E. 2/3
ShowHide Answer
Official Answer
C
User avatar
G
Mona2019
Manager
Manager
Joined: 13 Mar 2018
Posts: 194
Own Kudos [?]: 205 [1]
Given Kudos: 1608
Send PM
Re: Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rac [#permalink] New post   22 Oct 2020, 12:05
1
Kudos
Before Rachel ate half of the cookies, the cookies were - (1/6)*2 left =1/3
So 2/3 cookies were eaten by Suzy and Brian.
As Brian are 1/3, Suzy too ate 1/3

Posted from my mobile device
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8018
Own Kudos [?]: 4096 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rac [#permalink] New post   22 Oct 2020, 22:01
let total cookies be 12
so from given info we can say
4+12/x+1/2*(12-4-12/x) = 10
solve for x ; 1/3
option C


Bunuel wrote:
Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rachel ate 1/2 of the remaining cookies. If 1/6 of the cookies are left in the jar, what fraction of the cookies was eaten by Suzy?

A. 1/9
B. 1/6
C. 1/3
D. 1/2
E. 2/3
avatar
B
VermaPulkit
Intern
Intern
Joined: 05 May 2021
Posts: 8
Own Kudos [?]: 3 [0]
Given Kudos: 60
Send PM
GMAT ToolKit User
Re: Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rac [#permalink] New post   16 May 2021, 12:53
Since we are discussing fractions, so sum of all the fractions will be equal to 1, as 1 is complete fraction.

Let Suzie had x fraction of the cookies
Brian ate 1/3 of the cookies
Rachel ate 1/2 (1-1/3-x) of the cookies
The left amount of cookies are 1/6

Hence the equation is
1/3 + x + 1/2(1-1/3 -x) + 1/6 = 1

1/3+ x + 1/2 -1/6 - x/2 +1/6 =1

5/6 + x/2 = 1

X/2 = 1/6

X=1/3

Ans is C

Posted from my mobile device
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16594 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rac [#permalink] New post   16 May 2021, 21:48
Expert Reply
Let the total cookies were 36 [Take number which is divisible by 3, 2, and 6]

Brian: \(\frac{1}{3} * 36 = 12\)

Let's say Suzy has eaten the same number of cookies that Brian has eaten = 12

Remaining: 36 - (12 + 12) = 12

Rachel ate \(\frac{1}{2}\) of remaining(12) = \(\frac{1}{2} * 12 = 6\)

The cookies left at the end are 6 which is \(\frac{1}{6}\) of 36.

Hence, Suzy ate \(\frac{1}{3}\) of the cookies.

Answer C


Another method:

Brian + Suzy = \(\frac{1}{3} + \frac{1}{3} = \frac{2}{3}\)

=> Remaining: \(\frac{1}{3}\)

=> Rachel: \(\frac{1}{2} * \frac{1}{3} = \frac{1}{6} \)

=> Left out: \(\frac{1}{3} - \frac{1}{6} = \frac{1}{6}\)

Answer C
GMAT Club Bot
gmatclubot
Re: Brian ate 1/3, and Suzy ate some fraction of the cookies, and then Rac [#permalink]
16 May 2021, 21:48
Moderators:
Bunuel
Math Expert
92900 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