Question

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 ?

Answer 1

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

`(yes)/(no)=(5)/(6)`

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

`(yes)/(total)=(5)/(11)=(x)/(9086)`

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

`\begin{gathered} (5)/(11)=(x)/(9086) \\ (5)/(11)\cdot9086=x \\ 4130=x \\ x=4130 \end{gathered}`

Therefore, 4130 yes votes were there.