document.write( "Question 1119524: In an election one candidate got 40 percent votes and defeated by 1500 votes then votes of
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Algebra.Com's Answer #735095 by Theo(13342)\"\" \"About 
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one candidate got 40% of the votes and was defeated by 1500 votes.\r
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\n" ); document.write( "\n" ); document.write( "if the total number of votes is equal to x, then the candidate got .40 * x of the votes and his opponent got .60 * x of the votes.\r
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\n" ); document.write( "\n" ); document.write( "he got 1500 less votes than his opponent, therefore .40 * x = .60 * x - 1500.\r
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\n" ); document.write( "\n" ); document.write( "subtract .60 * x from both sides of this equation and combine like terms to get:\r
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\n" ); document.write( "\n" ); document.write( "-.20 * x = -1500.\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of this equation by -.20 and you get:\r
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\n" ); document.write( "\n" ); document.write( "x = -1500 / -.20.\r
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\n" ); document.write( "\n" ); document.write( "solve for x to get:\r
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\n" ); document.write( "\n" ); document.write( "the total number of votes = 7500.\r
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\n" ); document.write( "\n" ); document.write( "the candidate got 40% of 7500 = 3000.\r
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\n" ); document.write( "\n" ); document.write( "his opponent got 60% of 7500 = 4500.\r
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\n" ); document.write( "\n" ); document.write( "he got 4500 - 3000 = 1500 less votes than his opponent.\r
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\n" ); document.write( "\n" ); document.write( "numbers check out, so the solution is:\r
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\n" ); document.write( "\n" ); document.write( "his opponent got 4500 votes.\r
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