document.write( "Question 992769: a 1300-seat theater for a concert. premium seats sell for 40$ each and regular seats sell for 30$ each. at one event 44,440$ was collected in ticket sales with 30 seats left unsold.how many of each type of ticket was sold? \n" ); document.write( "

Algebra.Com's Answer #612266 by stanbon(75887) $\"\"$ $\"About$

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a 1300-seat theater for a concert. premium seats sell for 40$ each and regular seats sell for 30$ each. at one event 44,440$ was collected in ticket sales with 30 seats left unsold.how many of each type of ticket was sold?
\n" ); document.write( "-----------
\n" ); document.write( "Equations:
\n" ); document.write( "p + r = 1270 tickets
\n" ); document.write( "40p + 30r = 44,440
\n" ); document.write( "--------
\n" ); document.write( "Modify for elimination::
\n" ); document.write( "4p + 4r = 4*1270
\n" ); document.write( "4p + 3r = 4444
\n" ); document.write( "----
\n" ); document.write( "Solve for \"r\"::
\n" ); document.write( "r = 636 (# of regular seats sold)
\n" ); document.write( "----
\n" ); document.write( "Solve for p::
\n" ); document.write( "p + 636 = 1270
\n" ); document.write( "p = 634 (# of premium seats sold)
\n" ); document.write( "---------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------- \n" ); document.write( "

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