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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 8 to 5. If there were 7320 yes votes, what was the totalnumber of votes?

User Avizzini
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2 Answers

2 votes

Answer:

Explanation:

8 + 5 = 13

7320 * 13 / 8 = 11 895

User Javed Khatri
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3 votes

The ratio of yes votes to no votes is given by:


\frac{\text{ yes votes}}{\text{ no votes}}=(8)/(5)

Then, if we replace "yes votes" with 7320 we have an equation for the amount of no vote:


\frac{7320}{\text{ no votes}}=(8)/(5)

Now we have to solve this for no votes:


\begin{gathered} \frac{7320}{\text{ no votes}}=(8)/(5) \\ 7320=(8)/(5)\cdot\text{ no votes} \\ \text{ no votes}=(5)/(8)\cdot7320=4575 \end{gathered}

Then the total number of votes is given by the sum of yes and no votes:


7320+4575=11895

So the total number of votes was 11895.

User David Scott
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