document.write( "Question 953527: Please help!
\n" ); document.write( "A room contains 78 chairs arranged in rows. The number of rows is one more than twice the number of chairs per row. Find the number of rows.
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Algebra.Com's Answer #582337 by stanbon(75887)\"\" \"About 
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A room contains 78 chairs arranged in rows. The number of rows is one more than twice the number of chairs per row. Find the number of rows.
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\n" ); document.write( "Let the number of rows be \"r\".
\n" ); document.write( "Let the number of chairs in a row be \"c\"
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\n" ); document.write( "Equations:
\n" ); document.write( "c*r = 78
\n" ); document.write( "r = 2c+1
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\n" ); document.write( "Substitute for \"r\" and solve for \"c\":
\n" ); document.write( "c(2c+1) = 78
\n" ); document.write( "2c^2 + c - 78 = 0
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\n" ); document.write( "Factor:
\n" ); document.write( "(c-6)(2c+13) = 0
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\n" ); document.write( "Positive solution:
\n" ); document.write( "# of chairs in a row = 6
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\n" ); document.write( "Solve for \"r\":
\n" ); document.write( "r = 2c+1
\n" ); document.write( "# of rows = 2*6+1 = 13
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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