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Admissions Success Stories At a certain university, the dormitory policy is that each

This topic has 1 expert reply and 0 member replies

At a certain university, the dormitory policy is that each

Post Fri Aug 10, 2018 5:22 pm

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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

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GMAT/MBA Expert

Post 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

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