QuestionHow many total votes were cast if Rahm Emanuel received 218,217 votes, which is $45.63\%$ of the total?

Studdy Solution

STEP 1

Assumptions1. Rahm Emanuel received218,217 votes. This was45.63% of the total votes cast3. We assume that no votes were invalidated or uncounted

STEP 2

We need to find the total number of votes cast. We can do this by dividing the number of votes Rahm Emanuel received by the percentage of votes he received.
$Total\, votes = \frac{Votes\, received\, by\, Rahm\, Emanuel}{Percentage\, of\, votes\, he\, received}$

STEP 3

Now, plug in the given values for the votes received by Rahm Emanuel and the percentage of votes he received to calculate the total votes.
$Total\, votes = \frac{218,217}{45.63\%}$

STEP 4

Convert the percentage to a decimal value.
$45.63\% =0.4563$ $Total\, votes = \frac{218,217}{0.4563}$

STEP 5

Calculate the total number of votes cast in the election.
$Total\, votes = \frac{218,217}{0.4563} =478,405.$

STEP 6

Since the number of votes must be a whole number, we round up to the nearest whole number.
$Total\, votes =478,406$ In the2015 Chicago mayoral election,478,406 votes were cast.

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