Question

The ratio of the number of teachers to the number of students is 1:25. If 36 more students join, the ratio becomes 1:28.the number of teachers in the school is

Answer 1

let the ratio of students and teachers be x

we have ×/25×

now 36 more students joined

x/25×+36=1/28

28×=25×+36

3×=36

×=12

Answer 2

The number of teachers is 12.

Step-by-step explanation:

Since we have given that

Ratio of the number of teachers to the number of students = 1:25

If 36 students are more to join,

the ratio becomes 1:28

So, initially,

the number of teachers be x

the number of students be 25x

According to question, we get that

$\dfrac{x}{25x+36}=\dfrac{1}{28}\\\\28x=25x+36\\\\28x-25x=36\\\\3x=36\\\\x=\dfrac{36}{3}\\\\x=12$

Hence, the number of teachers is 12.

# learn more:

The Ratio of number of students to that of teachers in a school is 25:1 if 36 more student join the school in the new batch, the ratio becomes 28:1 the number of the teachers in the school is

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