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At the school election there were three candidates. Isabella got 40 votes, Amelia got 60 votes and Mason got ⅓ of the votes. How many people voted in the election?

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JeanaShupp

Answer: 150 people voted in the election.

Step-by-step explanation:

Let x = Total number of votes.

Mason got [tex]\dfrac{x}{3}[/tex] votes.

Isabella got 40 votes, Amelia got 60 votes.

Then,

Combined votes = [tex]40+60+\dfrac{x}{3}=x[/tex]

[tex]100=x-\dfrac{x}{3}\\\\100=\dfrac23x\\\\ x=100\times\dfrac32\\\\ x=50\times3\\\\ x=150[/tex]

Hence, 150 people voted in the election.

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