The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 6. If there were 9086 total of votes, how many yes votes were there ?

Respuesta :

The ratio of yes votes to no votes was 5 to 6.

[tex]\frac{yes}{no}=\frac{5}{6}[/tex]

If there were 9086 total votes, how many yes votes were there?

The total number of parts is 5+6 = 11

So, we can set up the following ratio

[tex]\frac{yes}{total}=\frac{5}{11}=\frac{x}{9086}[/tex]

Where x is the number of yes votes, let us solve for x

[tex]\begin{gathered} \frac{5}{11}=\frac{x}{9086} \\ \frac{5}{11}\cdot9086=x \\ 4130=x \\ x=4130 \end{gathered}[/tex]

Therefore, 4130 yes votes were there.