There are 2000 people in a local college. Of 60 people surveyed, 3 were professors and the rest were students. Using these estimates, how many students are at the local college?

Question

Mathematics

Pierre

12 March, 01:15

There are 2000 people in a local college. Of 60 people surveyed, 3 were professors and the rest were students. Using these estimates, how many students are at the local college?

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Answers (1)

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Yandel Pena · Answer 1

The total number of students at the local college=1,900 students

Step-by-step explanation:

Step 1

Determine proportion of sample that are students and professors as shown;

professors=total number of professors/sample size

where;

total number of professors=3

sample size=60

replacing;

professors proportion=3/60=1/20

Students proportion=total number of students/sample size

total number of students=sample size-total number of professors

total number of students=60-3=57

sample size=60

replacing;

Students proportion=57/60=19/20

Step 2

Determine how many students are at the local college;

Number of students=students proportion*total number of people at local college

where;

students proportion=19/20

total number of people at local college=2,000

replacing;

Number of students = (19/20) * 2,000=1,900 students

The total number of students at the local college=1,900 students