NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 03:50 It is currently 25 Apr 2024, 03:50
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

Of the total number of people who ate in a restaurant one evening, 2/3

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92912
Own Kudos [?]: 618902 [5]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Of the total number of people who ate in a restaurant one evening, 2/3 [#permalink] New post   20 Oct 2017, 00:12
5
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

82% (01:29) correct 18% (01:54) wrong based on 115 sessions
Hide Show timer Statistics
Of the total number of people who ate in a restaurant one evening, 2/3 ordered salads. Of those who ordered salad, 1/3 had Italian dressing on their salad. If the total number of people who ate in the restaurant that night was T, which of the following expressions represents the number of people who did not eat any Italian dressing at the restaurant that evening?

(A) 2/9*T
(B) 1/3*T
(C) 1/2*T
(D) 2/3*T
(E) 7/9*T
ShowHide Answer
Official Answer
E
avatar
B
Gende91
Intern
Intern
Joined: 13 May 2017
Posts: 4
Own Kudos [?]: 0 [0]
Given Kudos: 43
Location: Germany
Send PM
Re: Of the total number of people who ate in a restaurant one evening, 2/3 [#permalink] New post   20 Oct 2017, 02:13
People who ate something else than salad = 1/3*T
People who ordered salads without italian dressing = T*2/3*(1 - 1/3) = T*2/3*2/3 = T*4/9

People who did not eat italian dressing in sum = 1/3T + 4/9T = 7/9 T -> Answer E
User avatar
L
souvonik2k
Retired Moderator
Joined: 25 Nov 2015
Status:Preparing for GMAT
Posts: 972
Own Kudos [?]: 1989 [0]
Given Kudos: 751
Location: India
GPA: 3.64
Send PM
GMAT ToolKit User Reviews Badge
Re: Of the total number of people who ate in a restaurant one evening, 2/3 [#permalink] New post   20 Oct 2017, 04:29
No. of people who ate salad = \(\frac{2T}{3}\)
No. of people who ate salad with Italian dressing = \(\frac{2T}{3}*\frac{1}{3}\)
No. of people who did not eat salad with Italian dressing = \(\frac{2T}{3}*\frac{2}{3}\) = \(\frac{4T}{9}\)
No. of people who did not eat any Italian dressing = (T- \(\frac{2T}{3}\))+\(\frac{4T}{9}\)
= \(\frac{1T}{3}\)+ \(\frac{4T}{9}\) = \(\frac{7T}{9}\)

Answer E.
User avatar
P
amanvermagmat
Retired Moderator
Joined: 22 Aug 2013
Posts: 1186
Own Kudos [?]: 2499 [0]
Given Kudos: 459
Location: India
Send PM
Re: Of the total number of people who ate in a restaurant one evening, 2/3 [#permalink] New post   20 Oct 2017, 04:38
Lets say T = 9
Those who ordered Salads = 2/3 * 9 = 6
Those who had Italian dressing = 1/3 * 6 = 2

Those who did not have Italian dressing = 7 . So if you put T=9, answer should be 7

E answer
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22050 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Of the total number of people who ate in a restaurant one evening, 2/3 [#permalink] New post   24 Oct 2017, 06:16
Expert Reply
Bunuel wrote:
Of the total number of people who ate in a restaurant one evening, 2/3 ordered salads. Of those who ordered salad, 1/3 had Italian dressing on their salad. If the total number of people who ate in the restaurant that night was T, which of the following expressions represents the number of people who did not eat any Italian dressing at the restaurant that evening?

(A) 2/9*T
(B) 1/3*T
(C) 1/2*T
(D) 2/3*T
(E) 7/9*T


There were T people at the restaurant and (1/3) x (2/3) x T = (2/9)T had Italian dressing on their salads. Thus, in terms of T, the number of people who did not have Italian dressing on their salads is:

T - (2/9)T = (7/9)T

Answer: E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32666
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Of the total number of people who ate in a restaurant one evening, 2/3 [#permalink] New post   10 Jun 2023, 09:21
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: Of the total number of people who ate in a restaurant one evening, 2/3 [#permalink]
10 Jun 2023, 09:21
Moderators:
Bunuel
Math Expert
92912 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