in a primary school there shall be 3 teachers to 60 students. if there are 400 students enrolled in the school, how many teachers should be there in the school in the same ratio?
Answers
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There should be 3 teacher for 60 students
then ,
for 1 teacher = 60/3 = 20 students .
then,
For 400 students ,
20 teacher = 400 students .
Answer:
20 Teachers required
Step-by-step explanation:
Here we have been given that for 60 students there are 3 teachers in a primary school and we are asked to calculate the number of teachers required for 400 students.
Now, number of students for 3 teachers = 60
Applying the unitary method we get,
⇒ Number of students for 1 teacher = 60/3
⇒ Number of students for 1 teacher = 20
So, we have the simplified ratio of the number of teachers to the number of students = 1:20.
Now, assuming that the number of teachers required for 400 students is x, we must have the ratio of number of teachers to the number of students in this case, i.e. x:400, equal to 1:20, so we get,
⇒x400=120
Solving for the value of x we get,
⇒x=40020∴x=20
Hence, the number of teachers for 400 enrolled students must be 20 in number.