Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
07 Jul 2025, 09:51
Kudos
Bookmarks
I think the easiest way to do this question is to take a value for the number of attendees. Lets pick a number that is divisible by both \(7\) and \(5\) (because the fractions of donors and press have \(7\) and \(5\) in their denominators. Easier to cancel out factors). Lets say the total number of attendees is \(350\).
Invited donors \(= \frac{4}{7}(350) = 200\)
Invited press \(= \frac{1}{5}(350) = 70\)
Remaining \(= 350-200-70=80\)
These remaining \(80\) people were divided equally among the other four groups.
So, \(20\) each in the remaining groups.
Now, the breakdown of actual attendees ->
Twice as many press guests arrived as were invited -> Actual press \(= 2(70) = 140\)
Half of the invited volunteers attended -> Actual volunteers \(= \frac{20}{2} = 10\)
The entertainers did not attend due to a last-minute boycott -> Actual entertainers = \(0\)
Rest of the groups showed up as expected.
Total actual attendees = donors+press+volunteers+organizers+sponsors \(= 200+140+10+20+20 = 390\)
Fraction of actual attendees that were donors \(= \frac{200}{390} = \frac{20}{39}\)
Invited donors \(= \frac{4}{7}(350) = 200\)
Invited press \(= \frac{1}{5}(350) = 70\)
Remaining \(= 350-200-70=80\)
These remaining \(80\) people were divided equally among the other four groups.
So, \(20\) each in the remaining groups.
Now, the breakdown of actual attendees ->
Twice as many press guests arrived as were invited -> Actual press \(= 2(70) = 140\)
Half of the invited volunteers attended -> Actual volunteers \(= \frac{20}{2} = 10\)
The entertainers did not attend due to a last-minute boycott -> Actual entertainers = \(0\)
Rest of the groups showed up as expected.
Total actual attendees = donors+press+volunteers+organizers+sponsors \(= 200+140+10+20+20 = 390\)
Fraction of actual attendees that were donors \(= \frac{200}{390} = \frac{20}{39}\)
07 Jul 2025, 09:56
Kudos
Bookmarks
Think of the invited guests in batches of 35 so that the proportions work out to whole numbers: originally there would be 20 donors, 7 press, and 2 each of volunteers, entertainers, organizers, and sponsors. On the day of the gala, the 20 donors still attend, the 7 press become 14 (since twice as many show up), only 1 volunteer comes (half of 2), no entertainers appear, and the 2 organizers and 2 sponsors arrive as planned. That gives a total of 20 + 14 + 1 + 2 + 2 = 39 people actually in attendance, of whom 20 are donors. Thus donors make up 20 out of the 39 attendees.
Bunuel
asingh22
Joined: 31 Jul 2024
Last visit: 18 Nov 2025
Posts: 68
Given Kudos: 8
Location: India
Schools: Foster '26 (II) Goizueta '26 (S) Scheller '26 Anderson '26 Darden '26 Kelley '26 Kellogg '26 Ross '26 Sloan '26 UNC '26 (S) Stern '26 Yale '26 Haas '26 Owen '26 (II)
GMAT Focus 1: 635 Q84 V78 DI82 
GMAT Focus 2: 655 Q89 V80 DI78 
GPA: 2.5
Products:
Schools: Foster '26 (II) Goizueta '26 (S) Scheller '26 Anderson '26 Darden '26 Kelley '26 Kellogg '26 Ross '26 Sloan '26 UNC '26 (S) Stern '26 Yale '26 Haas '26 Owen '26 (II)
GMAT Focus 2: 655 Q89 V80 DI78
Posts: 68
07 Jul 2025, 10:02
Kudos
Bookmarks
Donor = 4/7, actual attendee = 4/7
Press = 1/5, actual attendee( double ) = 2/7
Rest equal among 4 then, 1- ( 4/7 + 1/5 ) = 8/35 ( each will have 2/35)
Volunteers = 2/35, actual attendee ( Half ) = 1/35
Entertainers didn't attend
Total = 4/7 + 2/7+ 4/35 ( Organizers + sponsors ) + 1/35 = 39/35
Donors = (4/7)/ ( 39/35 ) = 20/39
Press = 1/5, actual attendee( double ) = 2/7
Rest equal among 4 then, 1- ( 4/7 + 1/5 ) = 8/35 ( each will have 2/35)
Volunteers = 2/35, actual attendee ( Half ) = 1/35
Entertainers didn't attend
Total = 4/7 + 2/7+ 4/35 ( Organizers + sponsors ) + 1/35 = 39/35
Donors = (4/7)/ ( 39/35 ) = 20/39
