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

Redeem

At a certain university, the dormitory policy is that each

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

At a certain university, the dormitory policy is that each

by BTGmoderatorDC » Fri Aug 10, 2018 5:22 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

At a certain university, the dormitory policy is that each dormitory must have at least 7 resident advisers for every 200 residents. If a dormitory is home to 3500 residents, what is the minimum number of resident advisers required?

A. 120
B. 121
C. 122
D. 123
E. 124

OA D
Source: Veritas Prep
Top
Source: — Problem Solving |

GMAT/MBA Expert

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

by Brent@GMATPrepNow » Sat Aug 11, 2018 6:30 am
BTGmoderatorDC wrote:At a certain university, the dormitory policy is that each dormitory must have at least 7 resident advisers for every 200 residents. If a dormitory is home to 3500 residents, what is the minimum number of resident advisers required?

A. 120
B. 121
C. 122
D. 123
E. 124

OA D
Source: Veritas Prep
One approach is to use equivalent ratios

Each dormitory must have at least 7 resident advisers for every 200 residents.
So, advisers/residents = 7/200

If a dormitory is home to 3500 residents, what is the minimum number of resident advisers required?
Let x = minimum number of advisers
We can write: 7/200 = x/3500
Cross multiply to get: (7)(3500) = 200x
Divide both sides by 200 to get: (7)(3500)/200 = x
Simplify: (7)(35)/2 = x
Evaluate: 245/2 = x
Solve: 122.5 = x
Since we can't have HALF A PERSON, we must round up to 123

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8083
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Sun Aug 26, 2018 6:34 pm
BTGmoderatorDC wrote:At a certain university, the dormitory policy is that each dormitory must have at least 7 resident advisers for every 200 residents. If a dormitory is home to 3500 residents, what is the minimum number of resident advisers required?

A. 120
B. 121
C. 122
D. 123
E. 124
We can create the following proportion, where n is the required number of resident advisers:

n/3500 ≥ 7/200

200n ≥ 7 x 3500

2n ≥ 7 x 35

n ≥ 122.5

Thus, the minimum value of n is 123.

Answer: D

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
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

by swerve » Mon Aug 27, 2018 3:13 pm
3,500 residents -> 17*200 residents + 100 residents

For 3400, at least 17*7 = 119 resident advisors required.

As there are at least 7 for 200 residents required, for 100, there are 7/2 required -> has to be an integer -> round up -> at least 4 for 100.

For the remaining 100 residents: 4 resident advisors required

Adding them up: 119 + 4 = 123

Hence, D is the correct answer.
Top
Post new topic Post Reply
• Page 1 of 1