Question

If a third of the students entering high school drop out before graduating, but three-fifths eventually return and get their diploma, what proportion of students entering high school eventually get their diplomas?

Answer 1

Answer:

$\dfrac{13}{15}$

Step-by-step explanation:

If a third drop out, Initial fraction of those who graduate = $1-\frac{1}{3} =\frac{2}{3}$

Three-fifths of those who dropped out(one third) eventually return                         = $\frac{3}{5} of \frac{1}{3} =\frac{3}{5} X \frac{1}{3}=\frac{1}{5}$

The proportion of students entering high school who eventually graduate

= Those who graduated Initially+Those who returned

=$\frac{2}{3}+\frac{1}{5}=\frac{10+3}{15}=\frac{13}{15}$