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In the election for class president, there were two candidates, Joel and Sean. Joel got 60% of the votes, which was 38 votes more than Sean. Find the total number of votes cast.

Respuesta :

Answer:

190

Step-by-step explanation:

40/100 x 198= 76

40/100 x 198= 114

114-76= 38

Answer:

190.

Step-by-step explanation:

Let x represent total number of votes.

We have been given that Joel got 60% of the votes, which was 38 votes more than Sean.

60% of total votes: [tex]\frac{60}{100}x=0.60x[/tex]  

Since Joel got 60% of total votes, so Sean got 40% of total votes that is [tex]\frac{40}{100}x=0.40x[/tex]  

Since Joel got 38 votes more than Sean, so we can represent this information in an equation as:

[tex]0.60x=0.40x+38[/tex]

[tex]0.60x-0.40x=0.40x-0.40x+38[/tex]

[tex]0.20x=38[/tex]

[tex]\frac{0.20x}{.20}=\frac{38}{.20}[/tex]

[tex]x=190[/tex]

Therefore, the total number of votes cast is 190.