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in wereda election where four candidates appeared for election, the winning candidate received 36,000 votes which represented 45% of the electorate. The other three candidates received 25%, 20% and 6% of votes each. How many of the electrorate voted?​

Respuesta :

Let's see

Total votes be x

  • 45% of x=3600
  • 0.45x=3600
  • x=3600/0.45
  • x=8000

Now total percentage of vote

  • 45+20+25+6=96%

Not voted=4%

Find not voted

  • 0.04(8000)
  • 320

Total voted

  • 8000-320
  • 7680
semsee45

Answer:

73649 of 80000 (or 91.8%)

Step-by-step explanation:

Note:  An electorate is a person who is entitled to vote in an election - it does not necessarily mean they have voted in the election.

If 36000 votes represents 45% of the electorate (note: it does not say this figure represents 45% of the votes), then the total number of electorates is:

[tex]\implies \sf \dfrac{36000}{45}\times 100=80000[/tex]

If three candidates received 25%, 20% and 6% of the votes, then the winning candidate received:

⇒ 100% - 25% - 20% - 6% = 49% of the votes

If the winning candidate received 36,000 votes, then:

⇒ 49% of the votes = 36,000 votes

Therefore, the total number of votes is:

[tex]\implies \sf \dfrac{36000}{49}{ \times 100=73469[/tex]

To find the percentage of electorates that voted:

[tex]\implies \sf \dfrac{73469}{80000} \times 100=91.8\% \:\: (1\:d.p.)[/tex]

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