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Bunuel
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Would you mind adding the answer


The OA will be automatically revealed on Friday 29th of August 2025 10:00:33 PM Pacific Time Zone
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Mean= Sum/(Count)
In this case Mean X= (Sum of students)/(Number of Instructors)
X=200/(Number of Instructors)
Number of Instructors=200/X

A
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Mean is given as x students per instructor.
i.e
x= no. of students/no. of instructors

Given no of students as 200
So no of instructor = 200/x

So Option A is correct
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Total students 200

Let teacher be y

Mean student per teacher=200/y

This is equal to x as in question

200/y=x

Y=200/x (option A)
Bunuel
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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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?

Average number of students per instructor is x
Total number of students = 200
Average = (Total number of Students/Number of Instructors) = 200/x

A
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We can also think about this in terms of the units of each formula

The unit of x is [students / instructor]
The unit of 200 is [students]

We can multiply and divide units just like fractions (and the same unit at the top and bottom of the fraction will cancel out)

A. 200/x --> unit will be [students / (students / instructor)] which simplifies to [instructors]
B. 200x --> unit will be [students x (students / instructor)] which equates to [students^2 x instructors] which is not what we're looking for
C. (200 + x)/x --> adding [students] to [students/instructor] is not possible so this formula doesnt actually make sense
D. x --> the unit is [students / instructor], not what w'ere looking for
E. (200 + x)/(200x) --> adding [students] to [students/instructor] is not possible so this formula doesnt actually make sense
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