Question

Two candidates ran for the office of county commissioner. They were the only two candidates who received votes in the election. Ms. Talmadge received 45% of the votes. Mr. Rodriguez Received 171,919 votes.What was the total number of votes cast in the election?

Answer 1

Answer: 312,580 votes

Step-by-step explanation:

Answer 2

The total number of votes is 312,580.

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 =
`100-45=55\%`

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;

`55\%\ of\ x=171919\\\\(55* x)/(100) =171919\\\\55x=171919*100\\\\x=(17191900)/(55)=312580`

`x=312580`

Thus the total number of votes is 312,580.