Question

2/3 of the students study a language 2/5 of the students study french Find the ratio of students who study french to students who do not study french.

Answer 1

(2/3)(300)= 200, study a language. Of those, 2/5, so (2/5)(200)= 80, study French. The other 300- 80= 220 students do not study French. The ratio of students who study French to those who do not is 80 to 220 which can be reduced to 8 to 22 and then 4 to 11.

Answer 2

Therefore the ratio of students who study french to students who do not study french is 4:11.

Explanation:

Given that
`\frac2 3` of the students study a language.
`\frac2 5` of the students study french.

Consider total number of student be x.

The number of student who study language
`= \frac2 3* x`

Again
`\frac2 5` of the students study french.

The number of student who study french
`= \frac2 3* x* \frac25`

`=(4)/(15)x`

The number of student who do not study french

`=x-(4)/(15)x`

`=(x(15-4))/(15)`

`=(11x)/(15)`

Therefore the ratio of students who study french to students who do not study french is

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

=4:11