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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

ps 500 test23 #15

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 269
Joined: Sun Apr 01, 2007 5:41 am
by dunkin77 » Tue Apr 17, 2007 10:26 am
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,360 ?
(A) $12
(B) $14
(C) $16
(D) $17
(E) $18



Hi, The answer is C) but again I could not figure out... my attempt was...
xy=1360
10x+2=100y-5
but could not get to the answer... :(
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 33
Joined: Sat Apr 14, 2007 8:29 am

by ns88 » Tue Apr 17, 2007 2:59 pm
Say you sold the tickets for $14

14 *100= 1400= total revenue

But for every $2 increase you lost five seats. $14-10= $4

$4/2 *5 seats= 10 seats lost, so the revenue lost is 10 seats *$14= 140

1400-140 is the net revenue

So set an equation according to this.

Remember when you’re stuck, pick easy numbers and work backwards.

Step 1) $14*100

In this case, it’s x(100)=total rev

X(100) –((x-10)/2) *(5X)=1360

Just plug and try all the answer choices.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Moderator
Posts: 772
Joined: Wed Aug 30, 2017 6:29 pmFollowed by: 6 members

by BTGmoderatorRO » Sat Dec 09, 2017 9:08 am
When the price is $10. 100 balcony seats were sold
For every $2 increase in price, % fewer seats were sold
If price of $10 + $2= $12
95 seats will be sold and total revenue =
95*$12 = $1140
If price is $(12+2) = $14
90 will be sold and total revenue =
90*$14 = $1260
If price is $(14+2) =$16
85 seats will be sold and total revenue =
85 * $16 = $1360
Therefore, when the revenue is $1360
the price is $16 per seat.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1