document.write( "Question 38446: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play? \n" ); document.write( "
Algebra.Com's Answer #23959 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Let a = # of adult tickets. Their value would then be 17a. \n" ); document.write( "Let c = # of child tickets. Their value would be 2c. \n" ); document.write( "Now set up the two equations. \n" ); document.write( "a + c = 32 \n" ); document.write( "17a + 2c = 364 \n" ); document.write( "Double the first equation and subtract it from the second... \n" ); document.write( "17a + 2c = 364 \n" ); document.write( "2a + 2c = 64 \n" ); document.write( "and we get \n" ); document.write( "15a = 300 \n" ); document.write( "a = 20 and then of course \n" ); document.write( "c = 12 \n" ); document.write( " |