The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?

6,265 votes

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?

Given that :

Ratio of yes votes to no votes = 5 to 7

Yes votes : no votes = 5 : 7

Total votes = 10,740

The actual number of yes votes and no votes can be obtained thus :

Sum of ratio = (5 + 7) = 12

(ratio of vote / sum of ratio) * total votes

Number of no votes :

(Ratio of no votes / total ratio) * total votes

(7 / 12) * 10,740

0.5833333 * 10,740

= 6,265 votes

Number of no votes = 6,265 votes.

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