Question

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 2829 no votes, what was the total number of votes?

Answer 1

$\bf \begin{array}{ccll} yes&no\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 5&3\\ y&2829 \end{array}\implies \cfrac{5}{y}=\cfrac{3}{2829}\implies \cfrac{5\cdot 2829}{3}=y\implies 4715=y \\\\\\ \stackrel{\textit{total number of votes}}{yes+no}\implies 4715+2829\implies 7544$