At a certain university, the ration of the number of teaching assistants to the number of students in any course must always be greater than 3:80. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
1. 130
2. 131
3. 132
4. 133
5. 134
We can plug in the answer choices, which represent the number of students.
We should start with E, since the question asks for the MAXIMUM number of students possible.
When we plug in the correct answer choice, assistants/students will be greater than 3/80.
To compare fractions, cross-multiply.
Answer choice E: 134 students
5/134 > 3/80
5*80 > 3*134
400 > 402.
Eliminate E.
Answer choice D: 133 students
Is 5/133 > 3/80
5*80 > 3*133
400 > 399.
Success!
The correct answer is
D.
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