Answer:
The ratio is 4/11
Step-by-step 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
