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Q.

Many schools have a suggested student-teacher ratio as 35:1. The school anticipates a 280-student rise in enrolment the following year. How many additional teachers will be needed to keep the current student-teacher ratio?


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a

7

b

8

c

9

d

10 

answer is B.

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Detailed Solution

It is given that many schools have a suggested student-teacher ratio as 35:1.
We know that if two quantities x and y vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e. x y =k, where k is a constant positive number.
Given that schools suggested a student-teacher ratio as 35:1. This indicates that an increase in students will result in an increase of teachers.
So, it is a situation of direct proportion.
Question Image Find the desired number of teachers to be appointed.
Since, this is the situation of direct proportion, therefore, the ratio remains constant. So,
35 1 = 280 y 1 ā‡’ y 1 = 280 35 ā‡’ y 1 =8
The ratio of students to teachers will need to be maintained by hiring 8 additional teachers.
Hence, option (2) is correct.
 
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Many schools have a suggested student-teacher ratio as 35:1. The school anticipates a 280-student rise in enrolment the following year. How many additional teachers will be needed to keep the current student-teacher ratio?