how to do this query

I have two tables:

students
stu_name
schols_selected

scholarships
schol_name
short_name

schols_selected is made up of scholarships the students have selected,
the field content will look like schol1:schol2:schol3

I need a select that does something like this

select schol_name, short_name, stu_name, schols_selected
from scholarships, students
where short_name is in schols_selected

I have tried:

where short_name like '%' || schols_selected || '%'

but i'm not sure how to include a field result in between like operators.

how do I get a list of scholarships based one which student selected
it where the selected result is a string of colon seperated options?

thx,

-wj