Question

In a school of 2100 students, the ratio of teachers to students is 1:14.
Some teachers join the school and the ratio changes to 2:21.
Find the number of teachers who joined the school.

Answer 1

Answer:

Case 1

Let teacher be x

A/q

x/2100=1/14

x=2100/14

 =150

Teacher =150

Case 2

Let increased no. of teacher be 150+m

A/q

150+m/2100=2/21

=150+m=(2100*2)/21

=150+m=200

=m=200-150

Therefore m=50

Hence the number of teachers joined=50.

Step-by-step explanation:

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Answer 2

Answer:

200 teachers joined the school

Step-by-step explanation:

number of teachers = 1/14*2100

= 150

x/2100 = 2 / 21

x * 21= 2*2100

21 x = 4200

x = 4200/21

x =200