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Question: A random survey of 100 students at a middle school in a city showed that 36 students have glasses or contacts. If there are 250 students at the school, how many students would be expected to have glasses or contacts?


A ) 61
B ) 85
C ) 72
D ) 36

Steps to derive

1 Among 100 students 36 are having glasses or contacts.
 [Given.]

2 If there are 200 students, 72 would be having glasses or contacts.
 [Since 72 = 2 × 36.]

3 If there are 50 students, 18 would have glasses or contacts.
 [Since 18 = 362.]

4 So, if there are 250 students, 90 students would be expected to have glasses or contacts.
 [Add 72 and 18.]

5 Among the choices listed, 85 is very close to 90.

6 So, 85 students would be expected to have glasses or contacts in all.



Hence the right answer is Option B

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