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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: 50729
A certain school has an average (arithmetic mean) of x students per in  [#permalink]

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20 Dec 2017, 01:56
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Difficulty:

15% (low)

Question Stats:

80% (01:06) correct 20% (01:20) wrong based on 23 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)

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Joined: 07 Oct 2017
Posts: 265
Re: A certain school has an average (arithmetic mean) of x students per in  [#permalink]

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20 Dec 2017, 04:29
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: 152
Re: A certain school has an average (arithmetic mean) of x students per in  [#permalink]

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20 Dec 2017, 10:44
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: $$x = \frac{200}{instructors}; instructors = \frac{200}{x}$$

(B) is the answer.
Re: A certain school has an average (arithmetic mean) of x students per in &nbs [#permalink] 20 Dec 2017, 10:44
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# A certain school has an average (arithmetic mean) of x students per in

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