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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 3585 yes votes, what was the total number of votes?

Respuesta :

carlosego

Answer: 9321 votes

Step-by-step explanation:

1- You can express the ratio as following:

[tex]5:8[/tex] or [tex]\frac{5}{8}[/tex]

2- Let's call the number of  no votes "N"

3- Therefore, if there were 3585 yes votes, then you can write the following expression to calculate the number of  no votes:

[tex]\frac{5}{8}=\frac{3585}{N}\\\\N=\frac{3585*8}{5}\\\\N=5736[/tex]

4- Then, the total number of votes is:

[tex]t=3585votes+5736votes=9321votes[/tex]

TaeKwonDoIsDead

Answer:

9321

Step-by-step explanation:

We can simply make a ratio (fraction) to solve this. Let total number of  NO votes be N. Shown below is the ratio:

[tex]\frac{YesVotes}{NoVotes}=\frac{5}{8}=\frac{3585}{N}[/tex]

Now we can cross multiply and solve for N:

[tex]\frac{5}{8}=\frac{3585}{N}\\5N=8*3585\\5N=28,680\\N=\frac{28680}{5}=5736[/tex]

Hence, number of NO votes is 5736.

To get TOTAL number of votes, we add number of yes votes (3585) to that of number of no votes (5736).

Total votes = 3585 + 5736 = 9321

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