Question

7) The present ratio of students to teachers at a certain school is 30 to 1. the
student enrollment mene to increase by 50 students and the number of
teachers were to increase by 5, the ratio of the teachers would then be 25 to 1
What is the present number of beachers ?​

Answer 1

Answer:

15

Step-by-step explanation:

ANSWER

Let the number of student and teacher be represented by S and T respectively.

∵S:T=30:1⟹

T

S

=

1

30

⟹S:30T⟶(1)

If number of students increases by 50 and number of teachers increases by 5

50+S:T+5=25:1

⇒

T+S

S+50

=

1

25

⇒S+50=25(T+5)=25T+125

⇒30T+50=25T+125 [From (1)]

⟹30T−25T=125−50

⟹5T=75

⟹T=

5

75

=15

∴ No of teachers=T=15