Q:

in a school,2/3 of the students study a language.of those who study a language 2/5 were studying frenchfind the ratio of students who study french and who do notwrite it in its simplest form

Accepted Solution

A:
Answer:The ratio is 4/11Step-by-step explanation:Letx ----> the total number of students in a schoolwe know that1) 2/3 of the students study a language.so(2/3)x ----> number of students studying a languageand x-(2/3)x=(1/3)x ---->number of students who do not study a language2) Of those who study a language 2/5 were studying frenchso(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 French3) we know thatThe 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 French4 ) Find the ratio of students who study french and who do not(4/15)x/(11/15)x=4/11