The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. Ir there were 3822 yes votes, what was the totalnumber of votes?total votes

Answer:The total  number of votes was [tex]7,007[/tex]Step-by-step explanation:Letx -----> the number of yes votesy -----> the number of no voteswe know that[tex]\frac{x}{y} =\frac{6}{5}[/tex]isolate variable y[tex]y=\frac{5}{6}x[/tex] -----> equation A[tex]x=3,822[/tex] -----> equation BSubstitute equation B in equation A and solve for y[tex]y=\frac{5}{6}(3,822)=3,185[/tex] thereforeTo find out the total number of votes sum the number of yes votes plus the number of no votes[tex]3,822+3,185=7,007[/tex]