Question

In a school,2/3 of the students study a language.

of those who study a language 2/5 were studying french
find the ratio of students who study french and who do not
write it in its simplest form

Answer 1

The ratio is 4/11

Explanation:

Let

x ----> the total number of students in a school

we know that

1) 2/3 of the students study a language.

so

(2/3)x ----> number of students studying a language

and

x-(2/3)x=(1/3)x ---->number of students who do not study a language

2) Of those who study a language 2/5 were studying french

so

(2/3)x(2/5)=(4/15)x ----> number of students studying French

and

(2/3)x(3/5)=(6/15)x ----> number of students studying a language but not studying French

3) we know that

The number of students who do not study French is equal to the number of students who do not study a language plus the number of students who study a language but do not study French.

(1/3)x+(6/15)x=(11/15)x ----> number of students who not study French

(4/15)x ----> number of students who study French

4 ) Find the ratio of students who study french and who do not

(4/15)x/(11/15)x=4/11