document.write( "Question 1055926: I'm having trouble with this mixture problem. The back of the book says the answer is 590 but I think this is wrong, anyway I'm stumped. Any help with this would be much appreciated. Here it is.\r
\n" ); document.write( "\n" ); document.write( "Northern Maywood voted 60%to 40% in favor of a water project. Southern Maywood voted 90% to 10% against the project. The project passed 55% to 45%. If 5900 people voted, how many were from Southern Maywood.
\n" ); document.write( "

Algebra.Com's Answer #671078 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = number of voters in N. Maywood
\n" ); document.write( "Let \"+b+\" = number of voters in S. Maywood
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+5900+\"
\n" ); document.write( "(2) \"+.6a+%2B+.1b+=+.55%2A5900+\" ( all voters in favor )
\n" ); document.write( "(3) \"+.4a+%2B+.9b+=+.45%2A5900+\" ( all voters against )
\n" ); document.write( "--------------------------------
\n" ); document.write( "Note that \" Southern Maywood voted 90% to 10% against the project. \"
\n" ); document.write( "can be rewritten as: \" Southern Maywood voted 10% to 90% in favor the project.
\n" ); document.write( "Also note that (2) and (3) are saying essentially the same thing, but can
\n" ); document.write( "be used as checks against eachother.
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) \"+6a+%2B+b+=+32450+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+6a+%2B+b+=+32450+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-+5900+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+5a+=+26550+\"
\n" ); document.write( "\"+a+=+5310+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+5900+\"
\n" ); document.write( "(1) \"+5310+%2B+b+=+5900+\"
\n" ); document.write( "(1) \"+b+=+590+\"
\n" ); document.write( "590 voters were from S. Maywood
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+.4a+%2B+.9b+=+.45%2A5900+\"
\n" ); document.write( "(3) \"+4a+%2B+9b+=+26550+\"
\n" ); document.write( "(3) \"+4%2A5310+%2B+9%2A590+=+26550+\"
\n" ); document.write( "(3) \"+21240+%2B+5310+=+26550+\"
\n" ); document.write( "(3) \"+26550+=+26550+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );