the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 5 to 3. if there were 4785 no votes, what was the total number of votes?

Question

10-07-2024
Mathematics

Answered

the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 5 to 3. if there were 4785 no votes, what was the total number of votes?

Answer :

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Answer: 12,760 total votes

Step-by-step explanation:

We will create a proportion to find the total number of yes votes, then add them together to find our answer. We will have the number of yes votes in the numerator and the number of no votes in the denominator as shown.

[tex]\displaystyle \frac{yes}{no} \:\: \;\;\;\;\;\frac{5}{3} =\frac{x}{4,785}[/tex]

Cross-multiply our proportion.

3 * x = 5 * 4,785

3x = 23,925

Divide both sides of the equation by 3.

x = 7,975

Now, add them together.

7,975 + 4,785 = 12,760 total votes