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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 3 to 5. If there were 6608 total votes, how many yes votes were there?

Question

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were 6608 total votes, how many yes votes were there?

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Solution

To solve this problem, we first need to understand that the ratio of yes votes to no votes is 3 to 5. This means that for every 8 votes (3 yes votes + 5 no votes), 3 are yes votes.

  1. First, we need to find out how many sets of 8 votes there are in the total number of votes. We do this by dividing the total number of votes by 8.

    6608 ÷ 8 = 826

  2. Now we know that there are 826 sets of 8 votes. Since we know that in each set of 8 votes, 3 are yes votes, we can find the total number of yes votes by multiplying the number of sets by 3.

    826 * 3 = 2478

So, there were 2478 yes votes.

This problem has been solved

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