BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Tickets

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 643
Joined: Wed Aug 14, 2013 4:27 amFollowed by: 7 members
Thanked: 48 times
by vinay1983 » Wed Sep 11, 2013 4:32 am
For a recent play performance, the ticket prices were $25 per adult and S15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?

(1) Revenue from ticket sales for this performance totaled S10,500.

(2) The average (arithmetic mean) price per ticket sold was S21.

Source: OG Q-2-ED OA D

Statement 1

According to me if the the total price of the tickets is 10500$, then

Maximum tickets of $25 sold can be 300 i.e 300*25=7500

remaining 10500-7500=3000 so $ 15*200=3000

Hence sufficient

Statement 2

Mean is 21, this means no.of $ 25 tickets sold are more than $15 tickets, but the question asked for a number, hence insufficient.

What did I do wrong?
You can, for example never foretell what any one man will do, but you can say with precision what an average number will be up to!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 358
Joined: Thu Apr 18, 2013 9:46 amFollowed by: 7 members
Location: Jeddah, Saudi Arabia
Thanked: 42 times
GMAT Score:730

by faraz_jeddah » Wed Sep 11, 2013 6:16 am
vinay1983 wrote:For a recent play performance, the ticket prices were $25 per adult and S15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?

(1) Revenue from ticket sales for this performance totaled S10,500.

(2) The average (arithmetic mean) price per ticket sold was S21.

Source: OG Q-2-ED OA D


Statement 2

Mean is 21, this means no.of $ 25 tickets sold are more than $15 tickets, but the question asked for a number, hence insufficient.

What did I do wrong?
Check out the allegation method that is very popular on BTG.
Here is an example by Mitch - https://www.beatthegmat.com/mixture-and- ... 67444.html

25---21---15

So the ratio of Adult tickets to child tickets = 6:4

6x + 4x = 500
10x = 500
x= 50

Adult tickets = 6x = 6*50 = 300
A good question also deserves a Thanks.

Messenger Boy: The Thesselonian you're fighting... he's the biggest man i've ever seen. I wouldn't want to fight him.
Achilles: That's why no-one will remember your name.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Wed Sep 11, 2013 6:16 am
vinay1983 wrote:For a recent play performance, the ticket prices were $25 per adult and S15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?

(1) Revenue from ticket sales for this performance totaled S10,500.

(2) The average (arithmetic mean) price per ticket sold was S21.
Target question: How many of the tickets sold were for adults?

Given: A total of 500 tickets were sold for the performance
Let C = # of child tickets sold
Let A = # of adult tickets sold
So, C + A = 500

Statement 1: Revenue from ticket sales for this performance totaled S10,500
In other words, 25A + 15C = 10,500
When we add our given equation, C + A = 500, we can see that we have a system of 2 different linear equations with 2 variables.
Since we COULD solve this system for A, we COULD answer the target question with certainty.
So statement 1 is SUFFICIENT

Statement 2: The average (arithmetic mean) price per ticket sold was S21.
We'll use this fact: average of n numbers = (sum of the n numbers)/n
Rearrange to get sum of the n numbers = (average of n numbers)(n)
If 500 tickets were sold and the average ticket price was $21, then the sum of all tickets sold = (21)(500) = $10,500
IMPORTANT: Statement 2 is just another way of telling us that the total revenue from ticket sales was S10,500 (this is exactly what statement 1 told us)
Since statement 1 was SUFFICIENT, statement 2 must also be SUFFICIENT

Answer = D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
Location: Palo Alto, CA
Thanked: 2867 times
GMAT Score:800

by [email protected] » Thu Sep 12, 2013 12:22 pm
Hi vinay1983,

Both farad_jeddah and Brent offered methods to solve this problem that are correct.

Here's one other method that you might find useful.

From the prompt, you know there are a total of 500 tickets. Let's say...

A = number of adult tickets
C = number of child tickets

A + C = 500

The question asks us for the value of A. Since we have one equation already, if we get another, unique equation, then we'll have a "system" and we can solve for A.

Fact 2 tells us the average price per ticket. We can create the following equation:

(25A + 15C)/(A + C) = 21

This gives us another unique equation. Combined with the original equation from the prompt, we have a 2V2E (2 variables, 2 unique equations), so we CAN solve for A and there would be just one answer. The cool part is that we don't have to do the math. We KNOW that Fact 2 is SUFFICIENT.

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1