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Q 42.
James secured 49.5% of the total votes polled in an election. He lost to his contestant by 30,000 votes. All the votes polled were valid. Find the number of votes polled if
there were only two contestants.​

Answer 1

Answer:

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Answer 2

Let X be the number of votes secured by James

Number of scores secured by James’ competitor = X+3000

Given that votes scored by James is 49.5% of total votes,

That is X=49.5%(Total votes) or Total votes = X/49.5% [eq1]

Total votes = James votes + James’ competitors votes

Total votes = X + (X+30000)

From eq1

X/49.5% = X + X +30000

X/49.5% = 2X + 30000

X = (2X + 30000)*49.5/100

X = 0.99X + 14850

X-0.99X = 14850

0.01X = 14850

X = 14850/0.01

X = 1485000

From eq1 we know that Total votes = X/49.5%

Hence Total votes = 1485000/0.495

Total votes = 3000000