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At a certain university, the dormitory policy is that each

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At a certain university, the dormitory policy is that each

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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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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.

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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

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Scott Woodbury-Stewart Founder and CEO

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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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Brent Hanneson – Creator of GMATPrepNow.com
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