Question

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?

Answer 1

tags given to students and parents = k/2 + 100
tags remaining = k - (k/2+100)
= k/2 - 100
tags given to teachers and judges
= (3/5)(k/2 - 100)

so tags not given out
= (2/5)(k/2 - 100)
= k/5 - 40

check:
assume they had 600 namtags
according to my expression,
600/5 - 40 or 80 were not given out

let's see:
given to students and parents
= 300+100 = 400
leaving 200
3/5 of 200 or 120 were given to teachers and judges,
leaving 80 not handed out
There is a very high probability that my answer is right.

Answer 2

Thank You