Lie or Mistake?

[bluebooger]

According to this site, they do all of those things.
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That being said, a county school board would be involved with most of the issues you mentioned, including budgets.  They would be responsible for oversight of the county school system, and in the case of Montgomery county, 20 different elementary, middle and high schools (if Wikipedia is correct).

strange 
I'm going to have to research my childhood county 

I know we had 3 incorporated towns and at least 3 non-incorporated "towns" 
our "big 3" each had their own police and fire department and each had its own elementary, middle and high school 

we didn't have a county tax, just a town sales tax  
I have no idea if the other towns had a sales tax or not 

I just can't see it making sense that a county school board would set budgets for towns of 5k people when the towns are miles apart from each other 
and the only thing the towns remotely have in common is the football schedule LOL