Question

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 4 . If there were 5943total votes, how many yes votes were there?

Answer 1

$The\ ratio\ 3:4\\\\3+4=7\\\\5943:7=849\\\\Answer:3\times849=\fbox{2547}$

Answer 2

$\frac{\big{Yes}}{\big{No}} = \frac{\big{3}}{\big{4}} \ \ \ \Rightarrow\ \ \ 3\cdot No=4\cdot Yes\ \ \ \Rightarrow\ \ \ No=\frac{\big{4}}{\big{3}}\cdot Yes\\\\Yes+No=5943\ \ \ \Rightarrow\ \ \ Yes+\frac{\big{4}}{\big{3}}\cdot Yes=5943\ \ \ \Rightarrow\ \ \ \frac{\big{7}}{\big{3}}\cdot Yes=5943\\\\Yes=5943\cdot \frac{\big{3}}{\big{7}} \\\\Yes=2547\\\\Ans.\ Yes\ answer:\ 2547$