Question

50%

In a school, of the students study a language.
Of those who study a language, 2 study French.
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form.

Answer 1

For every one French student there are 48 non French students

Answer 2

The ratio of students who study french to students who do not study the french is
`(1)/(25)` :
`(24)/(25)`.

Explanation:

The given is,

50% of students are interested to study a language.

But 2 students only study french.

Step:1

Assume the number students in school are 100 in equal to the percentage.

So, 50% of students are interested to study a language, so we assume 50 students are interested to study language.

T= 50

where, T = 50 % of students (50 students)

Step:2

Let, X - Students interested to study french

Y - Students are not interested to study french

Step:3

Ratio of students interested to study french

=
`(Students interested to study french)/(Total students)`

From given,

=
`(2)/(50)`

=
`(1)/(25)`

Ratio of students interred to french is
`(1)/(25)`

Step:4

Ration of students do not interested to french is

=
`(Students are not interested to study french)/(Total students)`

=
`(48)/(50)`

=
`(24)/(25)`

Result:

In a 50% of students in a school the ratio of students who study french to students who do not study the french is
`(1)/(25)` :
`(24)/(25)`