n an election, only two candidates A and B contested, 25% of voters did not vote and 2000 votes were declared as invalid. The winner, A got 7600 votes more than his opponent thus he secured 52% of total valid votes. The total number of valid votes are
Question
n an election, only two candidates A and B contested, 25% of voters did not vote and 2000 votes were declared as invalid. The winner, A got 7600 votes more than his opponent thus he secured 52% of total valid votes. The total number of valid votes are
Solution
Let's solve this step by step:
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According to the problem, candidate A secured 52% of the total valid votes and he got 7600 votes more than candidate B.
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Let's assume the total valid votes are X. Therefore, candidate A got 0.52X votes and candidate B got (0.52X - 7600) votes.
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The total valid votes are also the sum of votes of candidate A and candidate B. So, we can set up the following equation: 0.52X + (0.52X - 7600) = X
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Solving this equation gives us X = 40000.
Therefore, the total number of valid votes is 40000.
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