Final answer:
To find the number of yes votes out of 6219 total votes with a 5:4 yes to no ratio, we first calculate the value per part as 691 by dividing total votes by 9. Then, we multiply 691 by 5 parts, resulting in 3455 yes votes.
Step-by-step explanation:
The question asks us to calculate how many yes votes were cast during a city's property tax vote, given a total of 6219 votes and a ratio of yes to no votes of 5 to 4. To find the number of yes votes, we can use the ratio to set up a proportion where the number of yes votes is 5 parts and no votes are 4 parts, making a total of 9 parts.
- First, we determine the value of each part by dividing the total votes by the sum of the parts in the ratio (5 parts for yes + 4 parts for no = 9 parts). So, each part is equal to 6219 votes / 9 parts = 691 votes per part.
- Then, we can find the number of yes votes by multiplying the value of each part (691 votes) by the number of parts for yes votes (5 parts).
- Finally, Multiplying 691 votes/part by 5 parts gives us 3455 yes votes.
Therefore, the number of yes votes cast was 3455.