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 3,796 yes votes, what was the total number of votes?

Answer 1

3796 = 4/11 of the total votes

4T/11 = 3796

T/11 = 949

T = 949(11) = 10,439 total yes&no votes

4/(4+7) = 4/11 of total are yes votes

11/4 times 3796 = 10,439