Question

There are 300 students in English 101 and 660 students in English 102 what is the ratio in simplest form of the students in English 101 ?

Answer 1

`5/11`

Explanation:

`300/660`, where 300 is the number of students in English 101, and 660 is the number of students in English 102.

Divide by 60, the GCF.

`300/60` = 5
`660/60` = 11

`5/11` is the ratio in its simplest form.

Answer 2

`5/16`

Explanation:

I am going to interpret this poorly worded question differently from how Camilleon did.

There were 960 students in the 2 courses. The number of students in English 101 was
`300/960 = 100/320 = 10/32 = 5/16`
of the total students in the 2 courses.

I do not know which answer will be considered correct, but this points out that clarity is important.

I hope this helps,
Steve

Answer 3

Depending on what quantities are to be compared it is

`5:11" or " 5:16`

Explanation:

A ratio is a comparison between two or more quantities.

The question does not state clearly what quantities must be compared?

Assuming it is
"The ratio of students in `101" ":" "` students in `102`

Then we have: `300" : " 660`
Which gives:`" "5" : "11" "larr(div 60` for simplest form )

I would assume this is what was intended.

But if it is meant as
"The ratio of students in `101" : "` the students in both"

Then we have: `300" : " 960`
Which gives:`" "5" : "16" "larr(div 60` for simplest form )