document.write( "Question 36889: The combined cost of one advance ticket to a show and one same-day ticket was $55 . It is known that 30 tickets were sold in advance and 25 the same day, for total receipts of $1575 . What was the price of each kind of ticket?
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Algebra.Com's Answer #22669 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The combined cost of one advance ticket to a show and one same-day ticket was $55 . It is known that 30 tickets were sold in advance and 25 the same day, for total receipts of $1575 . What was the price of each kind of ticket? \r \n" ); document.write( "\n" ); document.write( "Let cost of advance tickets be \"x\" \n" ); document.write( "Then cost of same day tickets is \"55-x\" \n" ); document.write( "Value of advance tickets sold is 30x \n" ); document.write( "Value of same day tickets sold is 25(55-x) \n" ); document.write( "EQUATION: \n" ); document.write( "Value + Value = $1575 \n" ); document.write( "30x+25(55-x)=1575 \n" ); document.write( "30x+(25)(55)-25x=1575 \n" ); document.write( "5x=1575-25(55) \n" ); document.write( "x=315-275 \n" ); document.write( "x=$40 (price of advance tickets) \n" ); document.write( "55-x=$15 (price of same day tickets)\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |