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 →

A city’s school board merged the city’s two rival high schools to form one new high school, which then had \(4500\) stud

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2058
Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members
Thanked: 1 times
by M7MBA » Wed Oct 07, 2020 10:37 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

A city’s school board merged the city’s two rival high schools to form one new high school, which then had \(4500\) students. \(10\%\) of the students at high school \(A\) and \(15\%\) of students at high school \(B\) were in the marching band. If all marching band members joined the new school’s marching band, which then had \(570\) members, how many students did school \(A\) have before the merge?

A. 2100
B. 2200
C. 2300
D. 2400
E. 2500

Answer: A

Source: Veritas Prep
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8155
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

Re: A city’s school board merged the city’s two rival high schools to form one new high school, which then had \(4500\)

by Scott@TargetTestPrep » Sun Oct 11, 2020 5:44 am
M7MBA wrote: ↑
Wed Oct 07, 2020 10:37 am
 A city’s school board merged the city’s two rival high schools to form one new high school, which then had \(4500\) students. \(10\%\) of the students at high school \(A\) and \(15\%\) of students at high school \(B\) were in the marching band. If all marching band members joined the new school’s marching band, which then had \(570\) members, how many students did school \(A\) have before the merge?

A. 2100
B. 2200
C. 2300
D. 2400
E. 2500

Answer: A

Solution:

We can let A = the number of students in school A, and B = the number of students in school B. Since the combined schools had 4,500 students, we know that A + B = 4,500.

We are also given that 10% of the students at high school A and 15% of the students at high school B were in the marching band, which has 570 members. Thus:

0.1A + 0.15B = 570

10A + 15B = 57,000

We can isolate B in the first equation, and we have: B = 4,500 - A.

We now can substitute 4,500 - A for B in the equation 10A + 15B = 57,000:

10A + 15(4,500 - A) = 57,000

10A + 67,500 - 15A = 57,000

-5A = -10,500

A = 2,100

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1