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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 7. if there were 3180 no votes, what was the total number of votes?



Answer :

To find the total number of votes cast, we need to determine the ratio between yes votes and no votes and then calculate the total based on the given information.
Given:
- Ratio of yes votes to no votes is 5
to 7
- Number of no votes is 3180
Let's first calculate the number of yes votes based on the ratio:
- Let the number of yes votes be 5x (since the ratio is 5 to 7)
- Number of no votes is 7x (according to the ratio)
We are given that the number of no votes is 3180, so:
7х = 3180
Solving for x:
x = 3180 / 7
x = 454
Now, we can find the total number of votes:

Total votes = Number of yes votes +
Number of no votes
Total votes = 5x + 7x
Total votes = 5(454) + 7(454)
Total votes = 5 * 454 + 7 * 454
Total votes = 454(5 + 7)
Total votes = 454 * 12
Total votes = 5448
Therefore, the total number of votes cast in the city was 5448.

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