Question

There is 52 teachers and 598 students. write the student:teacher ratio in the form of n:1 another school has 85 teachers and 1020 students
which school has has the larger amount of teachers per student

Answer 1

SOLUTION :

GIVEN

• There is 52 teachers and 598 students in a school

• Another school has 85 teachers and 1020 students

TO DETERMINE

• The student and teacher ratio in the form of n:1

• The school has the larger amount of teachers per student

EVALUATION

ANSWER TO QUESTION : 1

FOR FIRST SCHOOL

For the first school there are 52 teachers and 598 students

So the ratio of students and teachers

$\sf{ = 598: 52}$

$\sf{ = 23: 2}$

So the ratio of students and teachers in n : 1 format

$= \displaystyle \sf{ \frac{23}{2} : 1}$

FOR SECOND SCHOOL

SCHOOL For the first school there are 85 teachers and 1020 students

students So the ratio of students and teachers

$= \displaystyle \sf{ 1020 : 85}$

$= \displaystyle \sf{ 12 : 1}$

So the ratio of students and teachers in n : 1 format

= 12 : 1

ANSWER TO QUESTION : 2

After expression the ratio of students and teachers in n : 1 format for both school we see that

For the first school ratio is = 11.5 : 1

For second school ratio is = 12 : 1

Since 12 > 11.5

So For second school the number of students per teacher is higher

Hence the first school has the larger amount of teachers per student

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