Question

A particular high school has 1500 students 50 teachers and 5 administrators. If the
school grows to 1800 students and the ratios are maintained, then fi nd the number
of teachers and administrators

Answer 1

Answer: There are 60 teachers and 6 administrators.

Step-by-step explanation:

Since we have given that

Number of students = 1500

Number of teachers = 50

Number of administrators = 5

So, the ratio of students to teachers to administrators would be

$1500:50:5\\\\=300:10:1$

If the number of students grows to = 1800

and the ratio still remain same.

So, it becomes,

$300x=1800\\\\x=\dfrac{1800}{300}=6$

The number of teachers would be

$10x=10\times 6=60$

Number of administrators be

$x=6$

Hence, there are 60 teachers and 6 administrators.

Answer 2

Answer:

Since we have given that

Number of students = 1500

Number of teachers = 50

Number of administrators = 5

So, the ratio of students to teachers to administrators would be

If the number of students grows to = 1800

and the ratio still remain same.

So, it becomes,

The number of teachers would be

Number of administrators be

Hence, there are 60 teachers and 6 administrators.