Last visit was: 25 Nov 2024, 15:14 It is currently 25 Nov 2024, 15:14

Close

GRE Prep 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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
avatar
Intern
Intern
Joined: 24 May 2016
Posts: 33
Own Kudos [?]: 29 [0]
Given Kudos: 0
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2273 [1]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
User avatar
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Own Kudos [?]: 363 [0]
Given Kudos: 0
Send PM
avatar
Manager
Manager
Joined: 15 Feb 2018
Posts: 53
Own Kudos [?]: 34 [0]
Given Kudos: 0
Send PM
Re: At a dinner party, 40% of the guests wore both jackets and t [#permalink]
I am bit confused with the last bit of your answer. If 50% of the guests who wore jackets didn't wear ties, then shouldn't the "No Tie and Jacket" cell be 50? And so the total # of jackets will be 90. So 90%? But 90% is not in the answers so I could be wrong.

SherpaPrep wrote:
This is an overlapping set. You can recognize these because it's possible to do two things at once, or neither, or just one; in this case it's wearing a jacket and/or a tie. Many people use Venn diagrams for these but Venn diagrams can be confusing. An Overlapping Set Table is much easier. Simply draw three vertical and three horizontal lines and then label them with the two possibilities and their opposites. Consult the attached image for an example. Then just fill in the parts of the table. The boxes in every row and column should add to the total.


In this problem, we aren't given any numbers; rather we're given percents. No biggie. Just pretend that the total number of people is 100 and then treat the percents we're given as though they're actually totals. This allows us to fill out the table as illustrated below. Therefore the answer is E.
User avatar
Manager
Manager
Joined: 26 Jun 2017
Posts: 102
Own Kudos [?]: 71 [1]
Given Kudos: 0
Send PM
Re: At a dinner party, 40% of the guests wore both jackets and t [#permalink]
1
good problem, especially the part when one should make an equation as 40+x(0.5)=x, where x represents the total number of the ones who wore jacket.
then 40=x-0.5x which yields x=80
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [3]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
At a dinner party, 40 percent of the guests wore both jacket [#permalink]
3
gremather wrote:
I am bit confused with the last bit of your answer. If 50% of the guests who wore jackets didn't wear ties, then shouldn't the "No Tie and Jacket" cell be 50? And so the total # of jackets will be 90. So 90%? But 90% is not in the answers so I could be wrong.


If 50% of the guests who wore jackets didn't wear ties means They are only wearing Jackets

Let the total number of people wearing jackets be \(J\)
people wearing only jackets = \(0.5J\)
people wearing both jackets and ties = 0.40(total)

So,
people wearing jackets = people wearing only jackets + people wearing both jackets and ties
\(J = 0.5J + 0.40(total)\)
\(0.5J = 0.40(total)\)
\(J = 0.80(total)\)

Hence, option E
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5053
Own Kudos [?]: 75 [0]
Given Kudos: 0
Send PM
Re: At a dinner party, 40 percent of the guests wore both jacket [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
Re: At a dinner party, 40 percent of the guests wore both jacket [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne