document.write( "Question 186343: Please help me quickly, I am trying to help my daughter with her homework.\r
\n" ); document.write( "\n" ); document.write( "Problem:\r
\n" ); document.write( "\n" ); document.write( "At a concert, main floor seats sell for $25.00 and Upper Level seats sell for $12.00. There were 50,000 people in attendance and the concert total ticket sales is $1,112,000. How many main floor seats and upper level seats were sold?
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Algebra.Com's Answer #139675 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"m\" = number of main floor tickets sold
\n" ); document.write( "Let \"u\" = number of upper level tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) \"m+%2B+u+=+50000\"
\n" ); document.write( "(2) \"25m+%2B+12u+=+1112000\"
\n" ); document.write( "There are 2 equations and 2 unknowns. When the
\n" ); document.write( "number of equations matches the number of unknowns,
\n" ); document.write( "it is solvable.
\n" ); document.write( "Multiply both sides of (1) by \"12\"
\n" ); document.write( "and subtract from (2)
\n" ); document.write( "(2) \"25m+%2B+12u+=+1112000\"
\n" ); document.write( "(1) \"-12m+-+12u+=+-600000\"
\n" ); document.write( "(3) \"13m+=+512000\"
\n" ); document.write( "(3) \"m+=+39385\" (rounded off)
\n" ); document.write( "and
\n" ); document.write( "(1) \"m+%2B+u+=+50000\"
\n" ); document.write( "(1) \"39385+%2B+u+=+50000\"
\n" ); document.write( "(1) \"u+=+10615\" (rounded off)
\n" ); document.write( "39,385 mainfloor seats were sold and 10615 upper level
\n" ); document.write( "seats were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"25m+%2B+12u+=+1112000\"
\n" ); document.write( "(2) \"25%2A39385+%2B+12%2A10615+=+1112000\"
\n" ); document.write( "(2) \"984625+%2B+127380+=+1112000\"
\n" ); document.write( "(2) \"1112005+=+1112000\" (close enough)
\n" ); document.write( "and
\n" ); document.write( "(1) \"m+%2B+u+=+50000\"
\n" ); document.write( "(1) \"39385+%2B+10615+=+50000\"
\n" ); document.write( "(1) \"50000+=+50000\"
\n" ); document.write( "OK
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