document.write( "Question 935212: PERCENTAGE QUESTION :-
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document.write( "THERE WERE 2 CANDIDATES IN AN ELECTION.
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document.write( "10 % OF THE MEMBERS IN THE VOTER LIST DID NOT CAST VOTES.
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document.write( "60 VOTES WERE DECLARED INVALID.
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document.write( "WINNING CANDIDATE SECURED 308 VOTES MORE THAN LOSING CANDIDATE.
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document.write( "IF 47% OF THE TOTAL MEMBER VOTED IN FAVOUR OF WINNING CANDIDATE.
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document.write( "FIND VOTE SECURED BY EACH CANDIDATE ?????? \n" );
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Algebra.Com's Answer #568376 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! PERCENTAGE QUESTION :- \n" ); document.write( "THERE WERE 2 CANDIDATES IN AN ELECTION. \n" ); document.write( " \r\n" ); document.write( "Suppose there were N members in the voter list.\r\n" ); document.write( "Suppose W votes were in favor of the winner.\r\n" ); document.write( "Suppose L votes were in favor of the loser.\r\n" ); document.write( "\r\n" ); document.write( "So 90% of N or 0.90N cast votes\r\n" ); document.write( "\r\n" ); document.write( "60 VOTES WERE DECLARED INVALID.\r\n" ); document.write( "\r\n" ); document.write( "So 0.90N-60 votes were valid\r\n" ); document.write( " \n" ); document.write( "WINNING CANDIDATE SECURED 308 VOTES MORE THAN LOSING CANDIDATE. \n" ); document.write( " \r\n" ); document.write( "W = L + 308\r\n" ); document.write( "W + L = 0.90N-60\r\n" ); document.write( " \n" ); document.write( "IF 47% OF THE TOTAL MEMBER VOTED IN FAVOUR OF WINNING CANDIDATE. \n" ); document.write( " \r\n" ); document.write( "W = .47N\r\n" ); document.write( " \n" ); document.write( "FIND VOTE SECURED BY EACH CANDIDATE ?????? \n" ); document.write( " \r\n" ); document.write( "We have 3 equations\r\n" ); document.write( "\r\n" ); document.write( "W = L + 308\r\n" ); document.write( "W + L = 0.90N-60\r\n" ); document.write( "W = .47N\r\n" ); document.write( "\r\n" ); document.write( "Substitute .47N in the first two:\r\n" ); document.write( "\r\n" ); document.write( ".47N = L + 308\r\n" ); document.write( ".47N + L = 0.90N-60\r\n" ); document.write( "\r\n" ); document.write( "Multiple each through by 100\r\n" ); document.write( "\r\n" ); document.write( "47N = 100L + 30800\r\n" ); document.write( "47N + 100L = 90N-6000\r\n" ); document.write( "\r\n" ); document.write( " 47N - 100L = 30800\r\n" ); document.write( "-43N + 100L = -6000\r\n" ); document.write( "-------------------\r\n" ); document.write( " 4N = 24800\r\n" ); document.write( " N = 6200 \r\n" ); document.write( "\r\n" ); document.write( "W = .47N\r\n" ); document.write( "W = .47(6200)\r\n" ); document.write( "W = 2914\r\n" ); document.write( "\r\n" ); document.write( "W = L + 308\r\n" ); document.write( "2914 = L + 308\r\n" ); document.write( "2606 = L\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |