document.write( "Question 1173890: In a recent election Corrine Brown received 13,204 more votes than Bill Randall. If the total number of votes was 119,548 find the number of votes for each candidate. \n" ); document.write( "

Algebra.Com's Answer #799208 by mila nedic(19) $\"\"$ $\"About$

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Let's say Corrine's votes are represented by c and Bill's votes are represented by b. We can use these variable to create equations using the information we have.\r
\n" ); document.write( "\n" ); document.write( "Corrine received 13204 more votes than Bill: c=13204+b
\n" ); document.write( "The total number of votes was 119548: c+b=119548\r
\n" ); document.write( "\n" ); document.write( "Since we know that c=13204+b, we can replace c with 13204+c in the second equation so we are only dealing with one variable:
\n" ); document.write( "c+b=119548
\n" ); document.write( "(13204+b)+b=119548
\n" ); document.write( "2b=106344
\n" ); document.write( "b=53172 (Bill had 53172 votes)
\n" ); document.write( "Now we can use one on the first equations to solve for Corrine)\r
\n" ); document.write( "\n" ); document.write( "c=13204+b
\n" ); document.write( "c=13204+53172
\n" ); document.write( "c=66376 (Corrine had 66381 votes)\r
\n" ); document.write( "\n" ); document.write( "Checking by using the other equation:
\n" ); document.write( "c+b=119548
\n" ); document.write( "53172+66376=119548 (since it adds up to 119548 we know it's correct)\r
\n" ); document.write( "\n" ); document.write( "Therefore Corrine had 66376 votes and Bill had 53172 votes. \n" ); document.write( "

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