document.write( "Question 952779: A theater has 500 balcony seats and 1800 main level seats. If tickets for balcony seats will cost $15 less than tickets for main level seats, what should the prices be for each type of ticket so that total revenue from a sellout performance will be $33,840? \n" ); document.write( "
Algebra.Com's Answer #581828 by macston(5194)![]() ![]() You can put this solution on YOUR website! B=balcony seats=M-$15; M=main level seats \n" ); document.write( "500B+1800M=$33840 Substitute for B. \n" ); document.write( "500(M-$15)+1800M=$33840 \n" ); document.write( "500M-$7500+1800M=$33840 Add $7500 to each side. \n" ); document.write( "2300M=$41340 \n" ); document.write( "M=$17.97 ANSWER 1: Mail level seats cost $17.97 \n" ); document.write( "B=$17.97-$15=$2.97 ANSWER 2: Balcony seats cost $2.97 \n" ); document.write( "CHECK: \n" ); document.write( "500($2.97)+1800($17.97)=$33840 \n" ); document.write( "$1485+$32346=$33840 \n" ); document.write( "$33831=$33840 (Difference due to rounding down 0.4 of a cent per ticket) \n" ); document.write( " \n" ); document.write( " |