document.write( "Question 805519: Advanced-purchase tickets to an art exhibition cost $8, while tickets purchased at the door cost $14. If a total of 140 tickets were sold and $1720 was collected, how many advanced-purchase tickets were sold?
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document.write( "Select the correct answer.
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document.write( " a. 55 tickets
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document.write( " b. 40 tickets
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document.write( " c. 30 tickets
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document.write( " d. 45 tickets
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Algebra.Com's Answer #485280 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= Number of advance tickets \n" ); document.write( "y= Number of tickets at the door \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 140 .............1 \n" ); document.write( "Total value \n" ); document.write( "8 x + 14 y = 1720 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -14 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-14 x -14 y = -1960 \n" ); document.write( "8 x + 14 y = 1720 \n" ); document.write( "Add the two equations \n" ); document.write( "-6 x = -240 \n" ); document.write( "/ -6 \n" ); document.write( "x = 40 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 140 \n" ); document.write( "40 + y = 140 \n" ); document.write( " y = 140 -40 \n" ); document.write( " y = 100 \n" ); document.write( " y = 100 \n" ); document.write( "x= 40 Number of advance tickets \n" ); document.write( "y= 100 Number of tickets at the door \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |