document.write( "Question 986731: The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 8 adult tickets and 2 child tickets for a total of $60. The school took in $30 on the second day by selling 2 adult tickets and 3 child tickets. What is the price each of one adult ticket and one child ticket? \n" ); document.write( "

Algebra.Com's Answer #607564 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "Adult tickets = 'x'
\n" ); document.write( "Child's ticket = 'y'
\n" ); document.write( "8x + 2y = 60......(1)
\n" ); document.write( "2x + 3y = 30......(2)
\n" ); document.write( "Multiply (1) by 3 and
\n" ); document.write( "(2) by 2
\n" ); document.write( "24x + 6y = 180....(1)
\n" ); document.write( "4x + 6y = 60......(2)
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "20x = 120
\n" ); document.write( "x = 6
\n" ); document.write( "Substitute x = 6 into (2)
\n" ); document.write( "2x + 3y = 30
\n" ); document.write( "2(6) + 3y = 30
\n" ); document.write( "12 + 3y = 30
\n" ); document.write( "3y = 30 - 12
\n" ); document.write( "3y = 18
\n" ); document.write( "y = 6
\n" ); document.write( "Adult's ticket = $6
\n" ); document.write( "Child's ticket = $6
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

\n" );