Respuesta :
now, let's say the total of folks voting were "x".
now, if we divide "x" even into "1+2+3" pieces, we'd get some quotient value, the first candidate took 1 of those even pieces, the second candidate took 2 of those even pieces, and the winning candidate took 3 of them, thus winning anyway.
let's do the division, keeping in mind that the winning candidate had 210 votes.
[tex]\bf \cfrac{x}{1+2+3}\implies \cfrac{x}{6}\implies \stackrel{\textit{winning candidate pieces}}{3\cdot \cfrac{x}{6}}=\stackrel{\textit{winning candidate votes}}{210} \\\\\\ \cfrac{3x}{6}=210\implies \cfrac{x}{2}=210\implies x=420[/tex]
now, if we divide "x" even into "1+2+3" pieces, we'd get some quotient value, the first candidate took 1 of those even pieces, the second candidate took 2 of those even pieces, and the winning candidate took 3 of them, thus winning anyway.
let's do the division, keeping in mind that the winning candidate had 210 votes.
[tex]\bf \cfrac{x}{1+2+3}\implies \cfrac{x}{6}\implies \stackrel{\textit{winning candidate pieces}}{3\cdot \cfrac{x}{6}}=\stackrel{\textit{winning candidate votes}}{210} \\\\\\ \cfrac{3x}{6}=210\implies \cfrac{x}{2}=210\implies x=420[/tex]
The number of people who voted in the election is 420 people
Based on the information given,
Winning candidate = 210 votes
Second candidate = 2 × 210/3 = 140 votes
Last candidate = 1 × 210/3 = 70 votes.
The number of people who voted in the election will be the addition of the total votes and this will be:
= 210 + 140 + 70
= 420 votes
Therefore, from the information given, the number of people who voted in the election is 420 people.
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