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At a certain university, the dormitory policy is that each dormitory m
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05 May 2015, 01:35
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Re: At a certain university, the dormitory policy is that each dormitory m
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05 May 2015, 02:52
3500 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
D



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Re: At a certain university, the dormitory policy is that each dormitory m
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05 May 2015, 06:18
Ratio of advisers to students is at least 7 / 200.
3.500 * (7/200) = 122,5. As there can not be half a adviser, round up to 123, which is the minimum amount of advisers. Answer D.



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Re: At a certain university, the dormitory policy is that each dormitory m
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05 May 2015, 08:41
7/200=x/3500
x=122.5 i.e. ~ 123
So answer is D



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Re: At a certain university, the dormitory policy is that each dormitory m
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05 May 2015, 18:26
Min No of advisors per student = 7/200 Min No of advisors for 3500 students = 3500 * 7/200 =122.5
Since this is the min no of advisors, round it up to 123.
Answer D



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Re: At a certain university, the dormitory policy is that each dormitory m
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11 May 2015, 04:14
Bunuel 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
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:If the minimum ratio of resident advisers to residents is 7:200, and the dormitory has 3500 advisers, then you can set up an equation using the idea that: The ratio of x:3500 must be greater than or equal to 7:200. Which, mathematically, translates to: x/3500≥7/200 Then you can crossmultiply and solve for x: 200x≥7(3500) (Note: don't actually do the multiplication when you know you'll be able to divide both sides by 100) That reduces to: 2x≥7(35) Which then becomes: x≥7(35)/2 From this point you can crunch the numbers however you like. One method is to divide the 35 by 2 so that you're multiplying 7 by 17.5, which breaks out somewhat conveniently to: 7 times 10, which you know is 70. Plus 7 times 7, which you know is 49. Plus 7 times .5, which is 3.5. Add those up and x must be greater than (or equal to) 122.5, but since resident advisers must be integers the answer is then 123.
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Re: At a certain university, the dormitory policy is that each dormitory m
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06 Feb 2018, 17:37
Bunuel 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 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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