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Opening Night and Late Patrons

This topic has 3 expert replies and 1 member reply
apoorva.rattan Senior | Next Rank: 100 Posts Default Avatar
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Opening Night and Late Patrons

Post Mon Jun 17, 2013 4:00 pm
At the opening night performance of a new play, 5 percent of the theater patrons are late and are seated immediately, but 30 per cent of the patrons who are late are not seated until the end of the first act. Approximately what percent of the theater patrons that evening are late?

(A) 5%
(B) 7%
(C) 35%
(D) 70%
(E) 80%

OA after some discussion.

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Top Reply
Post Tue Sep 23, 2014 10:08 am
Hi apoorva.rattan,

This type of question involves a sub-group within a larger group. While it can be solved using the Tic-Tac-Toe board, this is not a typical Overlapping Sets question. In this prompt, you MUST pay careful attention to the descriptions, otherwise you will do the math incorrectly.

We're told that there are 2 groups of LATE people. Those who are "seated immediately" and those who are "seated at the end of Act 1." These two sub-groups represent the TOTAL LATE people. The specific information states:

"5% of THEATER PATRONS are late and are seated immediately" - this means 5% of ALL people who show up.
"30% of the PATRONS WHO ARE LATE are not seated until the end of Act 1" - this means 30% of the LATE PEOPLE.

Here is how you can organize all of this information (by TESTing VALUES):

TOTAL PEOPLE = 100

TOTAL LATE PEOPLE = X
5% of ALL PEOPLE are late and seated imeediately = 5
30% of LATE PEOPLE are seated at the end = .3(X)

From this information, we can create an equation:

5 + .3X = X
5 = .7X
50 = 7X
X = about 7

The question asks for the percent of TOTAL PEOPLE who are late: 7/100 = 7%

Final Answer: B

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

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j_shreyans Legendary Member Default Avatar
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Post Tue Sep 23, 2014 1:59 am
Hi Brent ,

I have one confusion if there are 100 patrons and 5 % are late and are seated i.e 5 and 305 are late and are not seated then why 0.3x?

Pls help me i got confused in this

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Post Tue Sep 23, 2014 10:08 am
Hi apoorva.rattan,

This type of question involves a sub-group within a larger group. While it can be solved using the Tic-Tac-Toe board, this is not a typical Overlapping Sets question. In this prompt, you MUST pay careful attention to the descriptions, otherwise you will do the math incorrectly.

We're told that there are 2 groups of LATE people. Those who are "seated immediately" and those who are "seated at the end of Act 1." These two sub-groups represent the TOTAL LATE people. The specific information states:

"5% of THEATER PATRONS are late and are seated immediately" - this means 5% of ALL people who show up.
"30% of the PATRONS WHO ARE LATE are not seated until the end of Act 1" - this means 30% of the LATE PEOPLE.

Here is how you can organize all of this information (by TESTing VALUES):

TOTAL PEOPLE = 100

TOTAL LATE PEOPLE = X
5% of ALL PEOPLE are late and seated imeediately = 5
30% of LATE PEOPLE are seated at the end = .3(X)

From this information, we can create an equation:

5 + .3X = X
5 = .7X
50 = 7X
X = about 7

The question asks for the percent of TOTAL PEOPLE who are late: 7/100 = 7%

Final Answer: B

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

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Thanked by: Reyad2016
j_shreyans Legendary Member Default Avatar
Joined
07 Aug 2014
Posted:
510 messages
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5 members
Upvotes:
3
Post Tue Sep 23, 2014 1:59 am
Hi Brent ,

I have one confusion if there are 100 patrons and 5 % are late and are seated i.e 5 and 305 are late and are not seated then why 0.3x?

Pls help me i got confused in this

  • +1 Upvote Post
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