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 total
number of votes?
total votes

Respuesta :

Answer:

The total  number of votes was [tex]7,007[/tex]

Step-by-step explanation:

Let

x -----> the number of yes votes

y -----> the number of no votes

we 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 B

Substitute equation B in equation A and solve for y

[tex]y=\frac{5}{6}(3,822)=3,185[/tex]

therefore

To 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]

Answer: 7,007 votes :)

Step-by-step explanation:

Hope that helps