The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 7 . If there were 6265 no votes, what was the total number of votes?

Answer 1

Set up a proportional ratio:

Solve for "y":

(4)(6265) = (7)(y)

25060 = 7y

y = 25060/7 = 3580

So there were 3580 yes votes. That makes the total of yes and no: 3580 + 6265 = 9845 total votes

Or you could just set up a ratio of 7 no votes to 11 total votes:

7/11 = 6265/x

7x = (11)(6265

x = 9845 total votes