Answer:
[tex]\dfrac{13}{15}[/tex]
Step-by-step explanation:
If a third drop out, Initial fraction of those who graduate = [tex]1-\frac{1}{3} =\frac{2}{3}[/tex]
Three-fifths of those who dropped out(one third) eventually return = [tex]\frac{3}{5} of \frac{1}{3} =\frac{3}{5} X \frac{1}{3}=\frac{1}{5}[/tex]
The proportion of students entering high school who eventually graduate
= Those who graduated Initially+Those who returned
=[tex]\frac{2}{3}+\frac{1}{5}=\frac{10+3}{15}=\frac{13}{15}[/tex]
