A teacher from Anderson Middle School printed k nametags in preparation for the science fair. Half of the nametags were given out to students and 100 nametags were given out to parents. Three-fifths of the remaining nametags were given out to teachers and contests judges. How many nametags were not given out?

We started with k tags.

after students, we have
k-k/2=k/2 left.

after parents, we have
k/2-100 left

after teachers, we have
(k/2-100)(1-3/5) left

You can simplify the last expression to present the final answer.