Answer:
Therefore the ratio of students who study french to students who do not study french is 4:11.
Step-by-step explanation:
Given that [tex]\frac2 3[/tex] of the students study a language. [tex]\frac2 5[/tex] of the students study french.
Consider total number of student be x.
The number of student who study language [tex]= \frac2 3\times x[/tex]
Again [tex]\frac2 5[/tex] of the students study french.
The number of student who study french [tex]= \frac2 3\times x\times \frac25[/tex]
[tex]=\frac{4}{15}x[/tex]
The number of student who do not study french
[tex]=x-\frac{4}{15}x[/tex]
[tex]=\frac{x(15-4)}{15}[/tex]
[tex]=\frac{11x}{15}[/tex]
Therefore the ratio of students who study french to students who do not study french is
[tex]=\frac{4}{15}x:\frac{11}{15}x[/tex]
=4:11
