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)\"\" \"About 
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( "
\n" );