document.write( "Question 93658: Sorry this is not from a book. \r
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document.write( "Tickets for a play at the community theater cost $14 for and adult and $2 for a child. If 270 tickets were sold and the total receipts were $2340, how many of each type of ticket were sold? \r
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document.write( "I do not think I am setting the right equation. x + y + 270 = 2340 I am sure I am off because it does not look right. Any help in the right direction would be wonderful. Thanks.... \n" );
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Algebra.Com's Answer #68211 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Tickets for a play at the community theater cost $14 for and adult and $2 for a child. If 270 tickets were sold and the total receipts were $2340, how many of each type of ticket were sold? \n" ); document.write( "---------------- \n" ); document.write( "In problems of this type you need to keep quantity and value separate. \n" ); document.write( "------------- \n" ); document.write( "Let # of adult tickets be \"x\" ; Value of these is 14x dollars \n" ); document.write( "--------- \n" ); document.write( "# of child tickets is \"270-x\" ; value of these is 2(270-x) = 540-2x dollars \n" ); document.write( "------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "value + value = $2340 \n" ); document.write( "14x + 540-2x = 2340 \n" ); document.write( "12x = 1800 \n" ); document.write( "x = 150 (# of adult tickets sold) \n" ); document.write( "270-x = 120 ( # of child tickets sold) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |