document.write( "Question 209377: Adult tickets for a play cost $6.00, and children's tickets cost $2.50. For one performance, 370 tickets were sold. Receipts for the performance were $1723. Find the number of adult tickets sold. \n" ); document.write( "
Algebra.Com's Answer #158295 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Adult tickets for a play cost $6.00, and children's tickets cost $2.50. For one performance, 370 tickets were sold. Receipts for the performance were $1723. Find the number of adult tickets sold. \n" ); document.write( "----------------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Eq: a + c = 370 \n" ); document.write( "Value Eq::::6a + 2.5c = 1723 \n" ); document.write( "------------------------------------- \n" ); document.write( "Modify the 1st equation to set up the system for elimination: \n" ); document.write( "2.5a + 2.5c = 2.5*370 \n" ); document.write( "--- \n" ); document.write( "Sutract that from the Value equation and solve for \"a\": \n" ); document.write( "3.5a = 798 \n" ); document.write( "a = 228 (# of adult tickets sold) \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "Reply to stanbon@comcast.net \n" ); document.write( " |