A teacher from Anderson Middle School printed K name tags in preparation for the science fair. Half of the name tags were given out to students and a 100 nametags were given out to parents. 3/5 of the remaining name tags are given out to teachers and contest judges. How many main types were not given out?

Tags not given out = (k/5) - 40

Step-by-step explanation:

k is tag

Tags k given to student are half = k/2

Tags given to parents are = 100

Total tags given to students and parents are = (k/2) + 100

So remaining tags are=k - (k/2+100)

= (k-200) / 2

tags given to judges and teacher are 3/5 of remaining tags = (3/5) * ((k-200) / 2)

So tags not given out are = (2/5) * ((k-200) / 2)

= (k/5) - 40 Answer