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# A certain school has an average (arithmetic mean) of x students per in

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Math Expert
Joined: 02 Sep 2009
Posts: 44655
A certain school has an average (arithmetic mean) of x students per in [#permalink]

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20 Dec 2017, 02:56
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Question Stats:

75% (00:54) correct 25% (00:56) wrong based on 16 sessions

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A certain school has an average (arithmetic mean) of x students per instructor. If there are 200 students in the school, which of the following expresses, in terms of x, the number of instructors in the school?

A. 200/x
B. 200x
C. (200 + x)/x
D. x
E. (200 + x)/(200x)
[Reveal] Spoiler: OA

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Intern
Joined: 07 Oct 2017
Posts: 42
Re: A certain school has an average (arithmetic mean) of x students per in [#permalink]

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20 Dec 2017, 05:29
A

X students/ instructor

We need to get no of instructor.
So play with the units.

If we divide students by (students/instructor) we will get no of instructors.

200/x

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Manager
Joined: 24 Nov 2016
Posts: 148
Re: A certain school has an average (arithmetic mean) of x students per in [#permalink]

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20 Dec 2017, 11:44
Bunuel wrote:
A certain school has an average (arithmetic mean) of x students per instructor. If there are 200 students in the school, which of the following expresses, in terms of x, the number of instructors in the school?

A. 200/x
B. 200x
C. (200 + x)/x
D. x
E. (200 + x)/(200x)

Average of x students per instructor: $$x=\frac{students}{"1"instructor}$$

If students is 200, then: $$x = \frac{200}{instructors}; instructors = \frac{200}{x}$$

Re: A certain school has an average (arithmetic mean) of x students per in   [#permalink] 20 Dec 2017, 11:44
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