Hello Chance,
The ratio of yes to no votes was 6 to 5. This means that if 6 people voted yes, 5 voted no. So 6 people out of 11 people would have voted yes.
Now, there weren't just 11 total votes, but 8305 of those. Let's set up proportions:
Yes Votes 6 x
_________ ___ = ____
Total Votes 11 8305
Cross-multiply: 11*x = 6*8305
Divide both sides by 11: x = 6*8305/11 = 49830/11 = 4530
There were 4530 "YES" votes.