Question

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?​

Answer 1

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

Answer 2

73649 of 80000 (or 91.8%)

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:

`\implies \sf (36000)/(45)* 100=80000`

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:

`\implies \sf (36000)/(49){ * 100=73469`

To find the percentage of electorates that voted:

`\implies \sf (73469)/(80000) * 100=91.8\% \:\: (1\:d.p.)`