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 $\frac{1}{25}$ : $\frac{24}{25}$.

Step-by-step 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

                       = $\frac{Students interested to study french}{Total students}$

          From given,

                       = $\frac{2}{50}$

                       = $\frac{1}{25}$

             Ratio of students interred to french is $\frac{1}{25}$

Step:4

           Ration of students do not interested to french is

                      = $\frac{Students are not interested to study french}{Total students}$

                      = $\frac{48}{50}$

                      = $\frac{24}{25}$

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 $\frac{1}{25}$ : $\frac{24}{25}$