document.write( "Question 65635: Solve each of the following problems. Be sure to show the equation used for the solution.
\n" ); document.write( " Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?\r
\n" ); document.write( "\n" ); document.write( " Geometry. The length of a rectangle is 2in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.\r
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Algebra.Com's Answer #46325 by Earlsdon(6294)\"\" \"About 
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Let x = the number of votes received by the losing candidate, then the winning candidate received x+220 votes. The sum of theses two amounts equal 810.\r
\n" ); document.write( "\n" ); document.write( "x+(x+220) = 810 Simplify and solve for x.
\n" ); document.write( "2x+220 = 810 Subtract 220 from both sides.
\n" ); document.write( "2x = 590 Divide both sides by 2.
\n" ); document.write( "x = 295\r
\n" ); document.write( "\n" ); document.write( "The losing candidate received 295 votes.
\n" ); document.write( "The winning candidate received 295+220 = 515 votes.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "295 + 515 = 810\r
\n" ); document.write( "\n" ); document.write( "Let L = length and W = width.
\n" ); document.write( "L = 2W+2\r
\n" ); document.write( "\n" ); document.write( "The perimeter of a rectangle is given by:
\n" ); document.write( "P = 2L+2W Subtitute L = 2W+2 and P = 34 then solve for W.
\n" ); document.write( "34 = 2(2W+2) + 2W Simplify.
\n" ); document.write( "34 = 6W+4 Subtract 4 from both sides.
\n" ); document.write( "30 = 6W Divide both sides by 6.
\n" ); document.write( "W = 5
\n" ); document.write( "L = 2W+2 = 2(5)+2 = 10+2 = 12.
\n" ); document.write( "The dimensions of the rectangle are:
\n" ); document.write( "Length = 12 inches and the width = 5 inches.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "P = 2L+2W
\n" ); document.write( "P = 2(12)+2(5)
\n" ); document.write( "P = 24+10
\n" ); document.write( "P = 34 inches.
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