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[quote="Ish1996"][quote="Archit3110"][quote="Bunuel"]


Ish1996
edited solution ..
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Bunuel
At a certain school, the ratio of students to teachers is greater than 3:1. If there are 500 students at the school, what is the maximum number of teachers that can be at the school?


A 165
B 166
C 167
D 168
E 169

Letting t = the number of teachers, we have:

500/t > 3/1

500 > 3t

3t < 500

t < 166.67

We see that the number of teachers is at most 166.

Answer: B
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To find the maximum number of teachers at the school, we need to determine the upper limit of the ratio of students to teachers. If the ratio is greater than 3:1, that means there are at least 3 students for every 1 teacher.

If we divide the number of students by 3, we get an estimate of the maximum number of teachers:

500 / 3 = 166.67. Answer is B
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