Answer:
The total number of votes is 312,580.
Step-by-step explanation:
Given,
Number of votes Mr. Rodriguez received = 171919
Whereas Ms. Talmadge received = 45% of the total votes
Solution,
Percentile of votes that Mr. Rodriguez received is difference between 100 and percentile votes that Mr. Talmadge received.
So, Percentile vote of Mr. Rodriguez = [tex]100-45=55\%[/tex]
The number of votes that Mr. Rodriguez received is 55% of the total votes.
Now,
Let the total number of votes be x.
Hence the equation can be written as;
[tex]55\%\ of\ x=171919\\\\\frac{55\times x}{100} =171919\\\\55x=171919\times100\\\\x=\frac{17191900}{55}=312580[/tex]
[tex]x=312580[/tex]
Thus the total number of votes is 312,580.
