Question
In a two-candidate city council election, 40% of the
votes were found invalid. From the valid votes, 60% went to the winner, who led by 1,200 votes. Find the total number of valid votes.Solution
Let the number of votes be '100n' Number of valid votes = 0.6 X 100n = '60n' Number of valid votes received by winning candidate = 0.6 X 60n = '36n' Number of valid votes received by losing candidate = 0.4 X 60n = '24n' So, 36n - 24n = 1,200 Or, 12n = 1,200 Or, 'n' = 100 Number of valid votes = 60 X 100 = 6,000
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