document.write( "Question 1096650: Last Tuesday Regal Cinemas sold a total of 8500 movie tickets. Proceeds totalled $64600. Tickets can be bought in one of the three ways. A matinee admission costs $5, student admission is $6 all day, regular admissions are $8.50. How many of each type were sold if twice as many student tickets were sold as matinee tickets? \n" ); document.write( "
Algebra.Com's Answer #805139 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! r = number of regular tickets \n" ); document.write( "s = number of student tickets \n" ); document.write( "m = number of matinee tickets\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r + s + m = 8500 \n" ); document.write( "8.5r + 6s + 5m = 64600 \n" ); document.write( "s = 2m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug the third equation (s = 2m) into the other equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r + 3m = 8500 \n" ); document.write( "8.5r + 17m = 64600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can use any method (substitution, elimination, graphing) to solve for r and m. Plug those values back into the first equation and you are done. \n" ); document.write( " |