document.write( "Question 404777: A theater has a seating capacity of 720 and charges $2 for children (x), $4 for students (y), and $6 for adults (z). At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $3080. How many children attended the show? \n" ); document.write( "
Algebra.Com's Answer #286082 by stanbon(75887)\"\" \"About 
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A theater has a seating capacity of 720 and charges $2 for children (x), $4 for students (y), and $6 for adults (z). \r
\n" ); document.write( "\n" ); document.write( "At a certain screening with full attendance, there were half as many adults as children and students combined. \r
\n" ); document.write( "\n" ); document.write( "The receipts totaled $3080. \r
\n" ); document.write( "\n" ); document.write( "How many children attended the show?
\n" ); document.write( "--------------------------
\n" ); document.write( "Equations:
\n" ); document.write( "People: x + y + z = 720
\n" ); document.write( "Quantity: z = (1/2)(x+y)
\n" ); document.write( "Values: 2x + 4y + 6z = 3080
\n" ); document.write( "===================================
\n" ); document.write( "Rearrange:
\n" ); document.write( "x + y + z = 720
\n" ); document.write( "x + y -2z = 0
\n" ); document.write( "x +2y +3z = 1540
\n" ); document.write( "----------------------
\n" ); document.write( "Use whatever method you know to get:
\n" ); document.write( "x = 140
\n" ); document.write( "y = 340
\n" ); document.write( "z = 240
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "======================== \n" ); document.write( "
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