Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?

Solution:

To maintain the student teacher ratio of 35:1 then the number of teachers appointed will be in proportion with the additional 280 students. In other words:

Number of Students    No. of Teachers

35                                              1

280                                          x = ?

The additional number of teachers that shall be appointed with the addition of 280 students will be:

x = 1 × 280/35

x = 8

Therefore with the addition of 280 students 8 additional teachers will be appointed. By doing so the Student:Teacher ratio of 35:1 will be maintained.

✦ Try This: Many schools have a recommended students-teacher ratio as 30:1. Next year, school expects an increase in enrolment by 270 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?

To maintain the student teacher ratio of 35:1 then the number of teachers appointed will be in proportion with the additional 280 students. In other words:

Number of Students        No. of Teachers

30                                              1

270                                           x = ?

The additional number of teachers that shall be appointed with the addition of 280 students will be:

x = 1 × 270/30

x = 9

Therefore with the addition of 270 students 9 additional teachers will be appointed. By doing so the Student:Teacher ratio of 30:1 will be maintained.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 104

Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio

Summary:

Many schools have a recommended students-teacher ratio as 35:1. Next year, the school expects an increase in enrolment by 280 students. 8 teachers will have to be appointed to maintain the students-teacher ratio of 35:1

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